Review: Geometry Semester 1Exam (Ch. 1-4) Name ______Pd ____
3.1 Symmetry of Polygons and 3.2 Properties of Quadrilaterals
1)How many lines of symmetry does the figure at right have?
1
a)0
b)2
c)6
d)12
1
2)The figure on the right has __?__ - fold rotational symmetry.
1
a)0
b)2
c)5
d)6
e)12
1
Match each term with its definition.
3)Quadrilateral / A) a quadrilateral with four congruent sides and four right angles4)Rhombus / B) a quadrilateral with four right angles
5)Trapezoid / C) a quadrilateral with two pairs of parallel sides
D) a quadrilateral with four congruent sides
E) a quadrilateral with only one pair of parallel sides
AB) any four sided polygon
6)Is the following statement always, sometimes or never true: A parallelogram is a rhombus.
1
a)Always
b)Sometimes
c)Never
d)Cannot be determined
1
7)A rectangle is not always a ______.
1
A)quadrilateral.
B)square.
C)parallelogram.
D)polygon.
1
1
8)Find the value of x for rectangle TCAK.
1
A)8
B)7
C)9
D)4
1
1
9)For parallelogram GEOM if and , what is x?
1
A)8
B)7
C)9
D)4
1
3.3 Parallel Lines and Transversals and 3.4 Proving That Lines Are Parallel
10)Using the diagram to the right, which statement is true?
1
A)
B)
C)
D)
11)Which best describes the relationship of the lines shown on the right?
1
A)
B)
C)
D)
1
12)If and , then which statement is true?
1
A)
B)
C)
D)
For questions 13-20, use the figure on the right.
What type of angles are:
13) and ? / A) Alternate Interior Angles14) and ? / B) Alternate Exterior Angles
15) and ? / C) Vertical Angles
16) and ? / D) Same Side Interior Angles
17) and ? / E) Same Side Exterior Angles
18) and ? / AB) Corresponding Angles
19) and ? / AC) Linear Pair
20)If and , then ?
1
A)15°
B)75°
C)95°
D)105°
E)115°
1
3.5 The Triangle Sum Theorem
21)If ΔEFG, and . What is ?
1
A)60°
B)70°
C)110°
D)180°
1
22)Given the triangle shown below with exterior angles that measure x°, y°, and z° as shown, what is the sum of x, y, and z?
A)180°
B)231°
C)309°
D)360°
E)Cannot be determined from the give information
23)In the figure below, points A, C, E, and G are collinear; B, C, and D are collinear; and D, E, and F are collinear. Angle measures are as marked. What is the measure of ?
A)40
B)45
C)60
D)80
E)None of the above
24)What is the measure of ?
1
A)30°
B)70°
C)80°
D)130°
1
25)If and , then ?
1
A)20°
B)40°
C)60°
D)140°
1
3.6 Angles In Polygons
26)What is the measure of an interior angle in a regular pentagon?
1
A)60°
B)72°
C)108°
D)120°
1
27)If the measure of an exterior angle of a regular polygon is 45°, how many sides does the polygon have?
1
A)5
B)6
C)8
D)10
1
28)What is the value of x in the pentagon?
1
A)145°
B)395°
C)215°
D)35°
1
29)What is m∠G in quadrilateral DEFG?
A)35°
B)70°
C)71°
D)77°
30)If two of the angles of the polygon shown below are congruent, then x = ?
1
A)78
B)84
C)120
D)150
E)174°
1
31)All eight sides of the polygon shown below are congruent.
What is the value of x?
1
A)30
B)45
C)135
D)180
E)360°
1
3.7 Midsegments Of Triangles And Trapezoids
32)What is the value of x in the figure?
A)4
B)8
C)16
D)32
33)If HJ = 26, then KL = ?
1
A)13
B)26
C)30
D)52
1
34)If KL = 15, then HJ = ?
1
A)7.5
B)15
C)30
D)45
1
4.1 Congruent Polygons
35)What is the correct congruence statement for the given figures?
1
A)
B)
C)
D)
1
36)If ΔAOB ΔCOD, ?
1
A)
B)
C)
D)
1
37)If ΔAOB ΔCOD, ?
1
A)
B)
C)
D)
1
38)Which congruence statement is correct?
1
A)ΔAEB ΔDEC
B)ΔAED ΔCEB
C)ΔAED ΔBEC
D)ΔABC ΔBCD
1
7
39) by _____.
7
A)Overlapping Segments Postulate
B)Reflexive Property
C)CPCTC
D)Isosceles Triangle Theorem
7
4.2 Triangle Congruence and 4.3 Analyzing Triangle Congruence
40)If three ______of one triangle are congruent to three ______of another triangle, then the triangles are congruent.
7
A)Angles
B)Sides
7
41)Which set of figures demonstrates the ASA Postulate?
A)/ B)
C)
/ D)
42)Which postulate cannot be used to prove that two triangles are congruent?
6
A)SSS
B)SAS
C)ASA
D)AAA
6
43)Which postulate or theorem proves the triangles congruent?
6
A)SSS
B)ASA
C)SAS
D)AAS
6
4.4 Using Triangle Congruence
44)Using the congruence markings on the figure, what is x?
A)6°
B)4°
C)15°
D)9°
45)If ΔJKL ΔRQP, then by ____.
A)definition of vertical angles.
B)Isosceles Triangle Theorem.
C)CPCTC.
D)Overlapping Triangle Theorem.
Combined Topics
46)In the figure below, lines m and n are parallel, transversals r and s intersect to form an angle of measure x, and 2 other angle measures are as marked. What is the value of x?
6
A)15
B)25
C)35
D)65
E)80
6
47)In the figure below, B is on , E is on , is parallel to , and is congruent to . What is the measure of DEB?
7
A)35
B)135
C)145
D)155
E)215
7
48)In the figure below, line l is parallel to line m. Transversals t and u intersect at point A on l and intersect m at points C and B, respectively. Point X is on m, the measure of is 130°, and the measure of is 80°. How many of the angles formed by rays of l, m, t, and u have a measure of 50°?
7
A)4
B)6
C)8
D)10
E)12
7
49)Shown below is a regular pentagon (5 congruent sides and 5 congruent interior angles). If 2 nonadjacent sidesare extended until they meet at point X,what is the measure of ?
7
A)18°
B)30°
C)36°
D)45°
E)72°
7
50)Which of the following lists gives 2 of the 3 interior angle measurements of a triangle for which the 3rd angle measurement would be equal to 1 of the 2 given measurements?
7
A)20, 40
B)30, 60
C)40, 100
D)45, 120
E)50, 60
7
51)In the figure below, lines a and b are parallel, and lines c and d are parallel. What is the measure of ?
A)75
B)95
C)100
D)105
E)115°
52)In ΔRST below, A is the midpoint of RS and B is he midpoint of . All of the following congruencies hold EXCEPT:
A)
B)
C)
D)
E)
53)The illustration shows two intersecting planes, P and S. Which of the following statements is true?
A)Points E, B and F are collinear.
B)Points A and C lie in only one plane.
C)Points A, B, C and F are noncoplanar.
D)The intersection of plane P and S is
E)The intersection of plane P and S is point B.
54)The picture shows a __?__ of the figure.
1
1
A)Rotation
B)Translation
C)Glide Reflection
D)Reflection
1
55)If PR = 47, find the value of QP.
1
A)0
B)7
C)20
D)27
E)29
1
56)Two sides of a triangle have lengths of 12 cm and 23 cm. Determine which measurement can be the length of the third side.
1
A)11 cm
B)25 cm
C)35 cm
D)36 cm
1
1
57)What is the length of the hypotenuse of the triangle on the right?
1
A)28 inches
B)10 inches
C)inches
D)100 inches
1
Answers to Review Sheet
1
1)C
2)D
3)AB
4)D
5)E
6)B
7)B
8)A
9)B
10)C
11)D
12)B
13)AB
14)D
15)AC
16)B
17)A
18)E
19)C
20)D
21)B
22)D
23)E
24)B
25)D
26)C
27)C
28)A
29)B
30)D
31)B
32)A
33)A
34)C
35)B
36)B
37)D
38)C
39)B
40)B
41)B
42)D
43)D
44)A
45)C
46)C
47)C
48)C
49)C
50)C
51)D
52)C
53)D
54)D
55)D
56)B
57)B
1