8th Grade Math

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8th Grade Math

What is your first AND last name? *

What is your school lunch number? If you don't know put I don't know! *

1. Lines a and b are parallel. Line t is a transversal.
If ∠1 measures 128°, what is the measure of ∠8?
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A. 62°

B. 52°

C. 128°

D. 135°

2. A fully inflated beach ball has a diameter of 16 inches. Which is closest to the amount
of air inside the ball?
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A. 268 in.^3

B. 1,072 in.^3

C. 2,144 in.^3

D. 17,149 in.^3

3. The side lengths of the three squares in the figure below are represented by x, y, and z.
According to the Pythagorean theorem, which of the following equations is true?
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4. Which sequence could be used to show that ΔQRS is congruent to ΔWXY?
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A. 90° clockwise rotation of ΔQRS around the origin followed by a translation of 1 unit down

B. 180° rotation of ΔQRS around the origin followed by a translation of 1 unit down

C. 180° rotation of ΔQRS around the origin followed by a translation of 1 unit to the left

D. No sequence of transformations could be used because ΔQRS and ΔWXY are not congruent.

5. A cone-shaped paper cup has a diameter of 6 centimeters and a height of 9 centimeters. Approximately how many cubic centimeters of water can the cup hold?
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A. 85 cm3

B. 254 cm3

C. 339 cm3

D. 1,017 cm3

6. Jayme drew triangle LMN on a coordinate grid. The coordinates of the vertices of triangle LMN were (3, 6), (9, 6), and (3, 2), respectively. Jayme then dilated the triangle to produce triangle L′M′N′, with vertices whose coordinates were (3, 6), (6, 6), and (3, 4). Which is the scale factor for this dilation?
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A. 1/16

B. 1/8

C. 1/4

D. 1/2

7. Mr. Hu's cat was stuck in his tree. He laid a 25-foot ladder against the tree at a height of 24 feet. How far was the ladder from the tree?
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A. 5 ft

B. 6 ft

C. 7 ft

D. 8 ft

8. The triangle below has angles measuring a, b, and c degrees and an exterior angle measuring x°. Carlos drew two parallel lines and used what he knows about angles formed when parallel lines are cut by a transversal to find two other angle measures.
Using the information above, which expression is equivalent to x°?
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A. 180° − a°

B. 180° − b°

C. a° + b°

D. a° + c°

9. Rectangle JKLM has points at (−2, 2), (1, 2), (1, −2), and (−2, −2), respectively. After a transformation of rectangle JKLM, rectangle J′K′L′M′ is formed with points at (−1, 1), (2, 1), (2, −3), and (−1, −3). Describe the transformation.
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A. Rectangle JKLM was reflected over the origin.

B. Rectangle JKLM was translated 1 unit down and 1 unit to the right.

C. Rectangle JKLM was rotated 90° about point L.

D. Rectangle JKLM was dilated with a scale factor of 1.

10. The cylindrical can shown below has a height of 10 inches and a volume of 250π cubic
inches. What is its radius, r?
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A. r = 5 inches

B. r = 10 inches

C. r = 15 inches

D. r = 25 inches

11. Look at ΔABC and ΔHJK below.

What sequence of two rigid transformations could move ΔABC so that it completely covers ΔHJK?

A. Reflection over the y-axis and rotation of 180°.

B. Reflection over the x-axis and rotation of 90°.

C. Reflection over the y-axis and translation of 2 units down.

D. Reflection over the x-axis and translation of 2 units to the left.

12. The size of the rectangular display for a computer monitor is given as d, the distance between two opposite screen corners. What is d, the best estimate of the size of the monitor shown below?
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