Name:______Hr: ______

Geometry – Semester Exam Review

  • GET ORGANIZED. Successful studying begins with being organized. Bring this packet with you to class every day. Go through your folders and find all of the quiz and test reviews that we have been doing all semester. Use them to help you with each chapter.
  • DO NOT FALL BEHIND. Do the problems that are assigned every night and come to class prepared to ask about the things you could not do.
  • GET SERIOUS. The grade you earn on this exam is worth 20% of your semester grade.
  • MAKE NOTES AS YOU WORK. As you do these problems, you will come across formulas, definitions, problems, and diagrams that you will want to put on your notecard.
  • NOTECARD: Your notecard must be in your own writing. You may put on it anything you think will help you on the exam. You may use the front and back. You will turn it in with your exam.
  • There is nothing on the exam that you have not studied this year.
  • You will turn in your review packet on the day that you take your midterm.

Midterm Review Assignments

Date / Assignment / 
Friday 1/10 / Chapter 1& 2
Monday 1/13 / Chapter 3
Tuesday 1/14 / Chapter 4
Wednesday 1/15 / Chapter 5
Thursday 1/16 / Chapter 6

1st Hour Exam: Tuesday, January 21st 8:00-9:30

Geometry - Ch. 1 ReviewName: ______

MATCHING...Answers will be used more than once.

1. ______Like a dot. Indicates a location.
2. ______Flat, goes forever in all directions.
3. ______Has two endpoints. A piece of a line.
4. ______Straight, goes forever in two directions.
5. ______Starts at one point and goes forever in one
direction.
6. ______Two points determine a ______.
7. ______Three non-collinear points determine a ___.
8. ______Points on the same line are ____.
9. ______Points on the same plane are ____.
10. ______Two lines intersect in a ____.

11. ______Two planes intersect in a ____.
12. ______Two lines that never intersect are ______. / 13. ______Segments with the same length are ____.
14. ______Two little segments add up to the big
segment.
15. ______Two little angles add up to the big
angle.
16. ______Angle that measures exactly 90
17. ______Angle that measures less than 90
18. ______Angle that is more than 90 but less than 180
19. ______Angle that measures exactly 180
20. ______Unit of measure to measure angles
21. ______Instrument used to measure angles
22. ______The sides of an angle are called ______. / A. Collinear
B. Coplanar
C. Line
D. Plane
E. Point
F. Ray(s)
G. Segment
H. Congruent
I. Parallel
J. Segment Addition Postulate
K. Angle Addition Postulate
L. Acute
M. Degree
N. Obtuse
O. Protractor
P. Right
Q. Straight

Fill in the blank with the correct word.

23. How many endpoints are on a line? ______on a segment?______on a ray? ______on a plane?______

24. Do we ever use three letters to name a segment, line or ray? ______Careful...this is a common error on the test!

25. When naming a ray, which letter always goes first? ______

26. How many lines can you draw through one point? ______picture: 27. What about two points? ______picture:

Use the diagram to name the following. Use proper notation!

28. In the diagram, name two different rays that go through point A ______

29. Now, state two different ways to name the ray having endpoint A ______

30. List three points ______33. How many points are on this line? ______

31. List three differentsegments ________35. Name the longestsegment ______

32. List three different ways to name this line ______

33. Use the next picture to name the plane two different ways ______

34. List threepoints on this plane ______35. How manypoints are on this plane? ______

Use the diagram to determine if these are the same. Answer yes or no.

36. and _____ 37. and _____38. and _____ 39. and _____

Use the diagram to name the intersection of each pair of lines.

40. and _____41. and _____ 42. and _____ 43. and ______*

44. The name for two coplanar lines that do not intersect is ______Are B, C and D collinear? ____C, F, D? ______

Use the diagrams to name the intersection of each pair of planes.

45. R and S ______46. U and T ______47. R and T ______48. R and U ______

49. Since R and U don’t intersect, they are called ______

50. In the next picture, the plane that contains lines a and b is______

51. The intersection of planes P and S ______

52. How many points are in the intersection of these planes? ______Are K, F, Q, and D coplanar? ______

Are B, F, Q and D coplanar? ____

Use the Segment Addition Postulate to find each length.

53. 54.55.

NQ = ______GH= ______XZ = ______

56.57.58.

RT = ______LM = ______FG = ______

Use the Segment Addition Postulate to write an ALGEBRAIC EQUATION. Then, solve the equation for x.

59.60. 61.

Equation______Equation______Equation______

x = ______x = ______x = ______

Use the pictures to match two PAIRS of congruent segments. Use the correct notation to write a congruence statement.

62. Congruence statement pairs:

______

______

Use a protractor to measure each angle. Classify the angle as acute, right, obtuse or straight.

63.64.65.

66. How do you know which number to use on the protractor?______

Given the picture, state the measure of each angle or write the measure in the proper location on the diagram.

67.
_________ / 68.
_____
_____ _____ / 69.

/ 70.


71. Give another name for the angle in the diagram. Circle whether
the angle appears to be acute, obtuse, right, or straight.

LKJ______acute obtuse right straight
JLK______acute obtuse right straight
MKL______acute obtuse right straight
JML______acute obtuse right straight / Look at the markings on each picture and state which angles are congruent.
Write a congruence statement.
72.73.

Find the measure of each angle using addition or subtraction. Do NOT use a protractor!

74. m RSP = 20
m PST = 30
m RST = ______/ 75. m ABD = 120
mABC = 35
m CBD = ______/ 76. m TOS = 150
m TOR = ______
m SOR = ______
77. m EFH =15
m EFG = ______
m HFG = ______/ 78. m PQR = 23
m PQS = _____
m RQS= ______/ 79. m RQS = 57
m PQS = _____
m PQR = ______

Now write an ALGEBRAIC EXPRESSION for the given angle.

80. m ADC= ______81. m NRQ= ______

Now write an ALGEBRAIC EQUATION for the given angle and solve.

82. mKLM = ______83. m VRS= ______

Equation: ______Equation: ______

x = ______x = ______

m KLN = ______m NLM= ______m VRT = ______m TRS = ______

84. / 85. / 86. / 84.
85.
86.
87. / 88. / 89. / 87.
88.
89.
90. / 91. / 92. / 90.
91.
92.

Geometry - Ch. 2 ReviewName: ______

Fill in the blank with the missing term.

1. Two angles that add up to 180°.______

2. Ray that divides an angle into two congruent angles.______

3. A segment, line, ray or plane that intersects a segment at its midpoint.______

4. The point right in the middle of a segment.______

5. Two angles that add up to 90°. ______

6. Two angles that make a straight line. ______

7. Angles next to each other that share a common side and vertex. ______

8. Angles across from each other that are always equal. ______

9. When a conclusion is reached based on FACTS. ______
10. When a conclusion is reached based on a PATTERN. ______

11. Draw the midpoint of and label it X, then name the resulting congruent segments.

The congruent segments are:______
A segment has _____ midpoint(s). / 12. M is the midpoint of . Write an equation, solve for x, and find the indicated lengths.

x= ______JM= ______MK=______/ 13. Use the Midpoint Formula to find the coordinate of the midpoint.
(-7, 5) and (5, 3)
Midpoint: ( , )
14. Draw and label threebisectors of this segment.

A segment has _____ bisectors / 15. Notice the bisector and corresponding tick marks. Find the indicated lengths.

CB= ______AB=______/ 16. Notice the bisector and corresponding tick marks. Find the indicated lengths. AC = 150 yards

AB= ______BC=______
17.
Name the bisector of this angle. ______
Name the congruent angles: ______/ 18. bisects ∠ABC
m∠1 = 56°
m∠2=______
m∠ABC= ______/ 19. bisects ∠XYZ
m∠XYZ = 56°
m∠1=______
m∠2= ______
20. Given that is the bisector of ∠ABC, write an ALGEBRAIC EQUATION and solve.
Y=______m∠ABD=______m∠ABC=_____ / 21. Given that is the bisector of ∠XWY, write an ALGEBRAIC EQUATION and solve.
x=______m∠XWZ=______m∠ZWY=_____ / 22. Name the adjacent angles in this picture.
Adjacent angles:______
23.
15°
Complement:
Supplement: / 24.
172°
Complement:
Supplement: / 25.
These angles add up to ______m∠1=_____ / 26.
These angles add up to ______m∠1=_____
27.
These angles are ______m∠1=_____ / 28.
m∠1=______m∠2=______m∠3=______/ 29.
m∠1=______m∠2=______
m∠3=______m∠4=______
30.
m∠1 = ______m∠2=______
m∠3 = ______m∠4=______/ 31. Determine whether the angles are vertical, complementary, supplementary or none of these.
∠4 and ∠5 ______
∠2 and ∠4 ______
∠3 and ∠4 ______
∠1 and ∠3 ______
Given the picture, write an ALGEBRAIC EQUATION and solve for x.
32. These angles add up to _____
Equation:
x= _____ m∠ABD=______m∠DBC=______/ 33. These angles add are_____
Equation:
x = ______/ 34. These angles add up to _____
Equation:
x = ______

Underline the hypothesis once, and circle the conclusion.

35. If I pass my driver’s test, then I will get my license.

36. If this is Homecoming Week, then there will be an assembly on Friday.

Decide whether this is an example of inductive or deductive reasoning.

37. The sun is a star, the sun has planets; therefore some stars have planets.

38. There has been a float party every night this week, therefore tonight will be a float party.

Give a counterexample to show that each statement is false.

39. All GP students are sophomores. ______

40. All quadrilaterals are rectangles. ______

MATCH each statement with its definition.Write next three numbers in the pattern

41. Conditional _____45. -5, -1, 3, 7, ______, ______, ______

42. Converse ______

43. Inverse ______46. 2, 3, 5, 8, 12, ______, ______, ______

44. Contrapostive ______

47. Conditional: If a quadrilateral has four right angles, then it is a rectangle.

Converse: ______True or False

Inverse: ______True or False

Contrapositive: ______True or False

What can you conclude from the trueWrite a single if-then statement that follows from the

Statements below?pair of true statements below.

48. If you wash your cotton t-shirt in hot water,49. If the ball is thrown at a window,

It will shrink. You wash your cotton t-shirt in hot water. it will hit the window. If the ball hits the window, then the window will break.

Therefore, ______

50. What is the next figure in this pattern?

Geometry – Ch. 3 Review Name ______

State the following using the picture. Don’t forget to use angle symbols!

1. Four interior angles ______, ______, ______, ______

2. Four exterior angles ______, ______, ______, ______

3. Two pairs of alternate interior angles ______& ______, and ______& ______

4. Two pairs of alternate exterior angles ______& ______, and ______& ______

5. Four pairs of corresponding angles ______& ______, ______& ______, ______& ______, and ______& ______

6. Four pairs of vertical angles ______& ______, ______& ______, ______& ______, and ______& ______

Choose the letter that shows the correct relationship between the angle pairs.

7. 3 and 9 ____ 8. 1 and 12 ______

9. 8 and 13 ____ 10. 2 and 10 ______

11. 5 and 7 ____ 12. 6 and 16 ______

13. 1 and 2 ____ 14. 5 and 13 ______

15. 10 and 16 ____ 16. 13 and 15 ______

Describe the relationship between the pairs of angles by circling the word that makes the sentence true.

17. If lines are parallel, then ….the alternate interior angles are: congruent supplementary

the corresponding angles are: congruent supplementary

the same side interior angles are: congruent supplementary

18. Vertical anglesarealways congruent supplementary even if the lines are not parallel.

19. Angles that are a linear pairarealways congruent supplementary even if the lines are not parallel.

Find the measure of all the angles shown in the picture.

20.21.22.23.

24. 25. JKLM is a parallelogram26.27.

1 _____ 2 _____ K _____ L _____ H_____ F _____ 1 _____ 2 _____

3 _____ 4 _____ M _____

28. ROCK is a parallelogram29. STAR is a parallelogram 30. PLAY is a parallelogram

O ______C ______R ______A ______1 ______PLA ______

K ______S ______2 ______3 ______

31. SONG is a parallelogram32.33.

1 ______2 ______SGN ______1 ______2 ______1 ______2 ______

3 ______4 ______3 ______4 ______5 ______3 ______4 ______

State the type of angles shown and find the measure of 1.

34. 35. 36. 37. 38.

Type of angles ______Type of angles ______Type of angles ______Type of angles ______Type of angles ______

1 ______1 ______1 ______1 ______1 ______

Use the relationship between the angles given to write an equation and solve for x.

39.40. 41.

Type of angles ______Type of angles ______Type of angles ______

Relationship: congruent or supplementaryRelationship: congruent or supplementaryRelationship: congruent or supplementary

Equation:Equation:Equation:

x = ______x = ______x = ______

42.43.44.

Relationship: congruent or supplementaryRelationship: congruent or supplementaryRelationship: complementary or supplementary

Equation:Equation:Equation:

x = ______x = ______x = ______

45. The SYMBOL for Parallel is: ______The SYMBOL for Perpendicular is ______

Determine whether enough information is given to conclude that the lines are parallel. If so, state the reason. Choices are:

  • Alternate InteriorAngles Converse (AIA)
  • Alternate Exterior Angles Converse (AEA)
  • Same-Side Interior Angles Converse (SSI)
  • Corresponding Angles Converse (CA)
  • Not enough proof that the lines are parallel.

46. 47. 48. 49. 50.

Circle the segments or lines that must be parallel.

51.52.53.

Choices: Choices: Choices:

Fill in the blank with PARALLEL, PERPENDICULAR,or INTERSECTING to make each statement true.

54. Line q is ______to line r

55. Line p is ______to line r

56. Line p is ______to line q

57. Line p is ______to line s

Consider each segment in the diagram at the right as part of a line. Complete the statement.

58. Name three segments parallel to. ______

59. Name four segments that intersect. ______

60. Name four segments skew to. ______

Complete the theorems about parallel, perpendicular and skew lines.

61. All right angles are ______.

62. If two lines are perpendicular, then they intersect to form four ______.

63. Two lines are parallel lines if they lie in the same plane and do not ______.

64. Two lines are perpendicular lines if they intersect to form a ______angle.

65. Two lines are skew lines if they do not lie in the same ______and do not intersect.

66. Two planes are ______planes if they do not intersect.

67. Draw a segment through Z parallel to (symbols!) 68. Draw a segment through Z perpendicular to (symbols!)

Fill in the blank with a number.

69. Parallel Postulate If there is a line and a point not on the line, then there is exactly ______line through the point parallel to the given line.

70. Perpendicular Postulate If there is a line and a point not on the line, then there is exactly ______line through the point perpendicular to the given line.

Describe the relationship between the lines shown. (intersecting, parallel, skew)

71. lines w and k72. lines j and k73. lines m and k74. lines u and w75. lines m and n

Geometry Chapter 4 ReviewName:______

MATCH each type of triangle with its definition.

Equilateral Triangle _____
Isosceles Triangle _____
Scalene Triangle _____ / Equiangular Triangle _____
Acute Triangle _____
Right Triangle _____
Obtuse Triangle _____ / A. Triangle with oneright angle.
B. Triangle with all (3) equal sides.
C. Triangle with all (3) equal angles.
D. Triangle with threeacute angles. / E. Triangle with oneobtuse angle.
F. Triangle with two equal sides.
G. Triangle with no equal sides.

Classify the triangle by its sides.

1. 2. 3. 4.

Classify the triangle by its angles.

5. 6.7. 8.

Classify the triangle by its angles AND sides.

9. 10. 11.12.

Sides: equilateral isosceles scaleneSides: equilateral isosceles scaleneSides: equilateral isosceles scaleneSides: equilateral isosceles scalene

Angles: acute obtuse equiangular rightAngles: acute obtuse equiangular rightAngles: acute obtuse equiangular right Angles: acute obtuse equiangular rt.

Identify the sideopposite each angle. Use the picture to name the following. Name the equal sides and equal angles in each picture.

13. 14. 15. 16.

Side opposite X: ______

Side opposite Y: ______Legs______Base ______Equal sides: ______Equal sides: ______

Side opposite Z: ______Vertex angle ______Base angles ______Equal angles: ______Equal angles: ______

*Use correct notation!

Using ABC, name the following.

17. The interior angles of this triangle are ______The sum of the interior angles is ______degrees.

18. The exterior angle of this triangle is ______The adjacent interior angle (next to the exterior angle) is ______

19. The exterior and the adjacent interior angle add up to ______degrees. The remote interior angles shown are ______

20. The sum of the remote interior angles is equal to ______

Find the measure of each angle.

21. m1 = ______22. m1 = ______23. m1 = ______24. m1= ______m2= ______

Each angle in an equiangular triangle is ____ degrees.m3= _____

25. m1 = _____ m2 = _____26. m1 = _____ 27. m1= ____ 28. m1 = ____ m2= ______

m3= ______m4= ______m5= ______

29. x = _____30. x = _____31. m1 = _____ m2 = _____ 32. m1 = _____ m2 = ____

33. m8 = ______m9 = ______34. m3 = ______m4 = ______35. m2 = ______m1 = ______36. m1= ______m2 = _____

m5 = ______

Write an algebraic equation for each triangle and solve for x.

37.38.39.

Equation:Equation:Equation:

x = ______x = ______x = ______

40.41.42.

Equation: Equation: Equation:

y = ______x = ______x = ______

State the Pythagorean Theorem:______What is it used for?______

Use the Pythagorean Theorem to find the following missing side. An equation must be given! Round decimals to the nearest 100th.

43.44.45.

Equation: Equation: Equation:

x = ______x = ______x = ______

46. 47. 48.

Equation: Equation: Equation:

x≈ ______x≈ ______x≈ ______

49. A 20-foot ladder is leaning against a wall.
It reaches up the wall 16 feet.
How far is the bottom of the ladder from the wall?

Equation: / 50. A 26-ft wire is attached to an electrical pole. The wire
attaches to a stake on the ground. If the stake is 10 feet
from the base of the pole. How tall is the pole?
Equation:
51. Find the length of the diagonal of a square if each side 10 cm.

Equation: / 52. Mary hikes 7 km north and 5 km west.
How far is she from her starting point?

Equation:

Can the given side lengths make a right triangle. Circle yes or no. You MUST support your answer with an equation!

53. 4 ft, 9 ft, 7 ft 54. 10 in., 26 in., 24 in. 55. 20 cm, 16 cm, 12 cm 56. 20 in., 28 in., 21in.

Equation: Equation: Equation : Equation:

yes or no yes or no yes or no yes or no

Given the Pythagorean Triple, state THREE OTHER MULTIPLES that are also Pythagorean Triples.

57. 3, 4, 558. 5, 12, 1359. 8, 15, 17

Find the DISTANCE between the two points. Round your answers to the nearest 100th, if necessary.

60.61.

62. ( -2, 1 ) and ( 3, 2 ) d=63. ( -1, 2 ) and ( 3, 0 )

Matching:

64. A segment from a vertex to the midpoint of the opposite side _____

65. A segment from a vertex perpendicular to the opposite side _____

66. A segment from a vertex that bisects the corner angle _____

67. Cuts a segment in half and makes a 90 angle _____

68. Point where medians intersect ______

is a MEDIAN of ∆ABC. Find each length.

69.70.71.

AD = ______AC = ______AD = ______DC = ______AD = ______AC = ______

72. The medians on this picture are segments: ______

73. R is the centroid of ∆ABC and
AD = 9.
Equation:
x = ______RD =______AR = ______/ 74. A is the centroid of ∆LMN and
AM = 40.

Equation:
x = ______AB =______BM = ______/ 75. Q is the centroid of ∆CDE and
QE = 14.
Equation:
x = ______QF =______EF = ______

Draw and label the MEDIAN from vertex X.

76.77..

Fill in the blank.

78. If a point is on the angle bisector, then it is ______from the two sides of the angle.

Write an equation and solve for x.

79.80.81.

Equation: Equation: Equation:

x = _____x = _____ PS = _____ RS = _____x = _____ PM = _____ MN = _____

82. If a point is on the perpendicular bisectorof a segment, then it is ______from the endpoints of the segment.

Write an equation and solve for x.

83.84.85.

Equation: Equation: Equation:

x = _____ BC = _____ DC = _____ x = _____ AB = _____ CB = _____ x = _____ AD = _____ CD = _____

Write an equation and solve for x.

86. 87.88.

Equation: Equation: Equation to solve for x: Equation to solve for y:

x = _____x = _____x = _____y= _____

Fill in the blanks:

______sides are across from BIG angles, ______sides are across from LITTLE angles and______sides are across form EQUAL angles.

List the ANGLES in each triangle from smallest to largest. List theSIDES of each triangle from shortest to longest

89.90. 91.92.

______

93. Triangle Inequality Theorem: The sum of any two sides of a triangle must be …______

Can the following side lengths make a triangle? Circle yes or no. Explain all answers!

94. 1 cm, 2 cm, 3 cm ______yes or no 95. 2 mm, 3 mm, 4 mm______yes or no

96. 8 cm, 8 cm, 8 cm ______yes or no 97. 9 mm, 9 mm, 18 mm ______yes or no

98. 21 m, 4 m, 13 m______yes or no 99. 50 cm, 50 cm, 25 cm______yes or no

100. Draw and label the
ANGLE BISECTOR of X. /

101. Draw and label the
PERPENDICULAR BISECTOR
of

Geometry Ch. 5 REVIEWName ______

1. What does it mean for two triangles to be congruent? ______

Study the picture to name all the pairs of corresponding sides and angles. Order of the letters matters!

2. Pairs of Corresponding Sides Pairs of Corresponding Angles 3. Pairs of Corresponding Sides Pairs of Corresponding Angles

____________ ____________

____________ ____________

______ ______ ____________

Congruence Statement: Congruence Statement:

5. CPCTC stands for: ______Parts of ______Triangles are ______.

Given, find the missing length or angle measure.

6.7. 8.

mB = _____ mF = _____ mA = _____ mA = _____ mF = _____ mB = _____ mD = _____ mF = _____ mE = _____

Mark the triangles to correspond to each postulate:

9. SSS 10. SAS 11. ASA 12. AAS13. H-L

OR

Name the postulate which could be used to show the triangles are congruent. Don’t forget to mark "free" sides and angles!

Fill in the congruence statement where indicated. Choices are: SSS, SAS, ASA, AAS, H-L or none.

14.15.16. 17.

Postulate ______Postulate ______Postulate ______Postulate ______

18.19.20. 21.

Postulate ______Postulate ______Postulate ______Postulate ______