Math Practice Test 2



GEOMETRY (IC Test # 6)

Midterm Examination Review Packet

01-11-2021

Identify the choice and shade your answer on the answer sheet provided

1. Use the figure to the right for the

this problem.

m (X + m (Y

(A) 45( (B) 90(

(C) 180( (D) Cannot be Determined

2. (SE) If the line (at the right) is reflected across the x-axis, which of the following is the graph of the new line?

A. B. C. D.

3. The measure of (A = ?

A. 40°

B. 60°

C. 65°

D. 75°

4. Which of the following can be lengths for a triangle?

I. 5, 6, 9 II. 4, 8, 12 III. 7, 8, 17

|(A) I only |(B) II only |(C) III only |(D) I and II |(E) I and III |

5. The inverse of the statement “If it is snowing, then there is no school” is

A. If there is no school, then it is snowing.

B. There is no school if it is snowing.

C. If it is not snowing, then there is school.

D. There is no school only if it is not snowing.

6. Find the value of x.

[pic]

|A. |19 |B. |125 |C. |3 D. 55 | | |

| | | | | | | | |

| | | | | | | | |

| | | | | | | | |

7. What values of a and b make quadrilateral [pic] a parallelogram?

A) [pic], [pic]

B) [pic], [pic]

C) [pic], [pic]

D) [pic], [pic]

8. In the diagram below, JL intersects KM at point K.

[pic]

What is the measure of [pic]JKM ?

A. [pic] B. [pic] C. [pic] D. [pic]

9. Use the figure to complete the statements in questions 17

[pic]

[pic] [A] (A [B] (B

[C] (C [D] D

10. In the diagram below, NP and ST are parallel, and MQ intersects both lines.

[pic]

What is the measure of∠[pic]x?

A. [pic] B. [pic] C. [pic] D. [pic]

11. The two right triangles are similar. Find the measure of side x.

A. 32 ft

B. 37.5 ft

C. 55 ft

D. 83 ft

12. A point P has coordinates (-8, -2). What are its new coordinates after reflecting point P across the x-axis?

A. (-8, 2) B. (8, -2) C. (8, 2) D. (-2, -8)

13. Find the values of x, y, and z. The diagram is not to scale.

[pic]

|A. |[pic] |C. |[pic] |

|B. |[pic] |D. |[pic] |

14. If the pictured triangles are congruent, what reason can be given?

a) SSS b) SAS c) ASA d) AAS e) HL

15. Find the area of the triangle in square feet.

A. 12.2 ft2

B. 14.0 ft2

C. 6.1 ft3

D. 7.0 ft2

16. What is the reflection image of (5, -3) across line y = x?

A. (-5, 3) B. (5, 3) C. (-3, 5) D. (-3, -5)

17. Find the missing length (x) for the pair of similar figures below.

A. 20 cm

B. 26 cm

C. 30 cm

D. 39 cm

18. The perimeter of (ABC is 56 cm, the length of AB is

A. 6 cm B. 16 cm

C. 18 cm D. 20 cm

19. The value of x in the triangle to the right is

(Hint: Find the area of the triangle to start)

(A) 2.4 in (B) 4.8 in

(C) 5.2 in (D) 10 in

20. What is the surface area of a cube with an edge that measures 9 centimeters?

A. 81 square centimeters

B. 108 square centimeters

C. 324 square centimeters

D. 486 square centimeters

21. If [pic] is a parallelogram, what is the length of segment BD?

A. 10

B. 11

C. 12

D. 14

22. If [pic]A and [pic]B are complements, and [pic]B and [pic]C are complements, what must be true of [pic]A and [pic]C?

A. They have the same measure.

B. They are supplementary angles.

C. They are complementary angles.

D. They are interior angles of a polygon.

23. For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional.

If x = 3, then x2 = 9.

| |If x2 = 9, then x = 3. True; x2 = 9 if and only if x = 3. |

| |If x2 = 3, then x = 9. False |

| |If x2 = 9, then x = 3. True; x = 3 if and only if x2 = 9. |

| |If x2 = 9, then x = 3. False |

24. Write the translation of point P(2, -9) to point P’(0,-12).

A. [pic] B. [pic]

C. [pic] D. [pic]

25. Which transformations which will not create congruent figures is ?

(A) Rotation and Translation (B) Reflection and Rotation

(C) Reflection and Dilation (D) Reflection and Translation

26. Which of the following is a dilation of triangle ABC with center of dilation (0,0)?

[pic]

A. A’ ( -2.5, 2) B’ (8, 6) C’ (2, -2.5)

B. A’ ( [pic]) B’ ([pic]) C’ ([pic])

C. A’ ( -1, 1) B’ (2, 1.5) C’ (1, -1.25)

D. A’ ( -2, 7) B’ (10.5, -12.5) C’ (-2, -1)

27. In the triangle to the right, if the base is side BC, what is the height?

(A) AB (B) BD

(C) AK (D) AC

28. Which biconditional is NOT a good definition?

| |A whole number is odd if and only if the number is not divisible by 2. |

| |An angle is straight if and only if its measure is 180. |

| |A whole number is even if and only if it is divisible by 2. |

| |D. A ray is a bisector of an angle if and only if it splits the angle into two angles. |

29. Triangle PQR is similar to triangle DEF as shown.

4 cm

Which describes the relationship between the corresponding sides of the two

triangles?

A. [pic] B. [pic] C. [pic] D. [pic]

30. In the diagram below, line segment l and line segment m intersect at the

center of the circle. What is the measure of [pic]x?

[pic]

A. 120° B. 133° C. 137° D. 143°

31. In the diagram below, line l and line m are parallel.

[pic]

Which equation could be used to solve for x?

A. 6x + 3x = 15 + 21 C. 6x + 15 + 3x + 21 = 90

B. 6x + 15 = 3x + 21 D. 6x + 15 + 3x + 21 = 180

Based on the diagram, [pic] are ____________ angles.

(A) Supplementary

(B) Parallel

(C) Alternate Interior

(D) Corresponding

[pic]

-----------------------

7

E

o

m

n

6

8

7

5

1

4

2

R

Q

P

x

6 in

8 in

P 6 cm R

5

6

21

13

[pic]

D

9 cm F

A

D

C

x (

B

B

A

(x + 25)(

(2x – 5)(

C

A

B

3

4x – 4

Q

6 cm

P

O

N

E

M

70(

55(

2x + 6

C

3.5 ft.

4 ft.

[pic]

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