8th grade geometry

Question 1

Find the distance between (−3, −1) and (1, −4).

Answer 

Question 2

Ravi builds a garden frame with sides 6 dm and 8 dm and wants a perfect right-angled corner. How long should the diagonal brace be, in dm?

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Question 3

A cylinder has radius 4 cm and height 14 cm. Find its volume in cm³, to 1 decimal place.

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Question 4

An ice-cream cone has radius 6 cm and height 15 cm. Find its volume in cm³, to 1 decimal place.

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Question 5

A sphere has radius 6 cm. Its volume is kπ cm³. What is k?

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Question 6

Ana is 3.5 m tall and casts a 1.5 m shadow. At the same moment a tree casts a 14 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.

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Question 7

P(2, 6) is rotated about the origin to P′(−2, −6). Which rotation was it?

• A. 90° anticlockwise (counterclockwise)
• B. 90° clockwise
• C. 180°

Question 8

Rotate (1, 1) 90° clockwise about the origin. Type the image like (2, −3).

Answer 

Question 9

Which transformation is described by (x, y) → (x − 5, y)?

• A. Rotation of 180° about the origin
• B. Dilation with scale factor 3
• C. Translation
• D. Reflection in the y-axis

Question 10

What is each interior angle of a regular nonagon? Round to 1 decimal place if needed.

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Question 11

Two parallel lines are cut by a transversal. One angle is 125°. What is its corresponding partner?

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Question 12

Ines wants to draw a regular polygon with interior angles of 145°. Is that possible?

• A. Yes
• B. No

Question 13

Triangle PQR has P(0, 0), Q(2, 0), R(0, 2). It is translated by (−5, 2). Where does Q go?

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Question 14

A 7-sided polygon has angles 125°, 130°, 123°, 134°, 132°, 123° and x°. Find x.

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Question 15

A right triangle has legs 15 ft and 36 ft. How long is the hypotenuse, in ft?

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Question 16

A right triangle has hypotenuse 50 m and one leg 48 m. How long is the other leg, in m?

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