Geometry Midterm Review Test
2010 – 2011
You must show your work to receive credit!
Ms. Vasili
A note to remember, for this exam: It is always helpful to draw a picture. I encourage you to do that
for any problem a picture is not given. GOOD LUCK.
Name:______
Date:______
Period:______
Choose the best answer for each question.
- Find the length of the segment with endpoints L(-1, -3) and M(-6, 9).
A. 13B. 17C. 5D. 12
- Points A, B and D
A. determine a planeB. are collinear
C. are contained in only plane P D. are noncoplanar points
- What is the intersection of planes P and R.
A points A, D and BB. C. D.
- What is the measure of if R is between Q and T, QR = 14 and RT = 5?
A. 10B. 11C. 19D. 9
- Find the coordinates of the midpoint of the segment with endpoints D(6, 6) and E(-2, 2).
A. (3, 4)B. (2, 4)C. (4, 8)D. (1, -1)
- What are the sides of ?
A. B.
C. D.
- and are
A. adjacentB. verticalC. supplementaryD. complementary
- and are
A. adjacentB. verticalC. supplementaryD. complementary
- and are
A. adjacentB. verticalC. complementaryD. linear pair
- and are
A. adjacentB. verticalC. linear pairD. complementary
- Find .
A. 25B. 155
C. 175D. 5
12. If and , find
A. 150B. 130
C. 70D. 80
13. Find if bisects , and
A. 48B. 18
C. 9D. 24
- Choose the converse of “If , then = .
- If = , then
- If , then
- If = , then = .
- None of these
- Identify the hypothesis of the statement “If today is Tuesday, then tomorrow is Wednesday.”
- Today is not Tuesday
- Today is Wednesday
- Today is Tuesday
- Tomorrow is Wednesday
- Identify the if-then form of the following: All cars have four wheels.
- If a vehicle has four wheels, then it is a car.
- If a vehicle is a car, then it has four wheels.
- If a vehicle is not a car, then it does not have four wheels.
- None of these
- Choose the statement that follows (1) and (2) by the law of detachment.
- Right angles are congruent.
- and are right angles
A. m = 90B. m = 90C. D. =
- Which statement represents the law of syllogism.
- If is a true conditional and p is true, then q is true.
- If and are true conditionals, then is true.
- If a, b and c are real numbers, then a(b + c) = ab + ac.
- None of these
- The transitive property of equality states “If a = b and b = c, then _____ “.
A. b = aB. a = cC. c = bD. b = b
20. and form a linear pair and Find
A. 62B. 28C. 118D. 90
21.Given and = 72, find . ( for 21-23, the rectangle represent parallel lines)
A. 108 B. 72
C. 18D. 112
- Given , = 9x +5 and = x + 37, find the value of x.
A. 32B. 4
C. 41D. 39
- Given and = 3x + 28, find the value of x so that .
A. 26B. 13
C. 67D. 75
- A right triangle must be
A. isoscelesB. acuteC. scaleneD. either isosceles or scalene
- Find the measures of the legs of an equilateral triangle PQR if PQ = 5x – 7 and PR = 2x + 5.
A. 39B. 13C. 12D. 4
- In triangle ABC, what is the angle opposite ?
A. B. C. D.
- In triangle DEF, if and is the hypotenuse, then triangle DEF is
A. acute and scaleneB. right and scalene
C. right and isoscelesD. obtuse and isosceles
- The measures of two angles of a triangle are 38 and 47. What is the measure of the third angle?
A. 85B. 95C. 133D. 142
- If , then is congruent to
A. B. C. D.
- Which of the following is not a postulate used to prove the congruence of two triangles?
A. ASAB. SSAC. SASD. SSS
- The measure of the vertex angle of an isosceles triangle is 120. That is the measure of the base angle?
A. 60B. 30C. 35D. 40
- Name one additional pair of corresponding parts that need to be congruent in order to prove that
by ASA.
A. B.
C. D.
- Identify the median of triangle ABC.
A. B.
C. D.
- Identify the altitude of triangle ABC.
A. B
C. D.
- In triangle ABC, if and is an angle bisector, find
A. 90B. 51
C. 39D. 12
- What is the longest side of the figure QUAD.
A. B
C. D.
- In triangle EFG, = 6x – 8, 7x + 3, and = 3x – 7. Choose the list that shows the sides correctly ordered from shortest to longest.
A. B.
C. D.
- Determine which set of numbers can be the measures of the sides of a triangle.
A. 13, 10, 16B. 1, 2, 3C. 5.2, 11, 4.9D. 208, 9, 219
- Two sides of a triangle have lengths 15 cm and 19 cm. Which measurement can be the length of the third side?
A. 6 cmB. 4 cmC. 40 cmD. 36 cm
- If the sides of a triangle have measures 3x + 4, 6x – 1 and 8x + 2, find all possible values of x.
A. x > -1B. C. D. x > 0
- If M is the midpoint of , , JL = 10x + 2, and LK = 6x + 14, which is a possible value of x?
- 1
- 2
- 3
- 4
Properties
State the property, theorem, postulate or definition used to make the conclusion.
- If UV = VW, then VW = UV.______
- If is a right angle, then is 90.______
- 2(x – 50) = 2x – 100.______
- If and are vertical angles, then . ______
- If , then is a right angle. ______
- AB + BC = AC.______
- If , then .______
- . ______
- If 2x + 4 = 17, then 2x = 13.______
- T is the midpoint of , then .______
- If and , then .______
- If and are a linear pair, then they are supplementary.______
- If bisects , then .______
- If and are supplementary, then .______
- If , then .______
- , then .______
58. .Given:Prove: ( the symbol represent the triangle sign)
F is a midpoint of
StatementsReasons
1. ______1.______
2. ______2.______
3. ______3.______
4. ______4.______
5. ______5.______
6. ______6. ______
7. ______7.______
59. Given:Prove:
StatementsReasons
1. ______1. ______
2. ______2. ______
3. ______3. ______
4. ______4. ______
60.Given:W is a midpoint of Prove:
StatementsReasons
1. ______1. ______
2. ______2. ______
3. ______3. ______
4. ______4. ______
5. ______5. ______
6. ______6. ______
7. ______7.______
61.Given:3(2x – 5) + 1 = 2(x – 3)
Prove:x = 2
StatementsReasons
1.______1.______
2.______2.______
3.______3.______
4.______4.______
5.______5.______
6.______6.______
- Given:a b
1 4
Prove:c d
StatementsReasons
1. a b1.______
2. 1 32.______
3. 3 13.______
4. 1 44.______
5. 3 45.______
6. c d6.______
1