Category 3 Part C Spring Interim Questions 2024

A cone has a volume of 100π cubic centimeters and a height of 12 centimeters. What is the radius of the base of the cone in centimeters?

• 10 cm

• 5 cm

• 25 cm

• Not here

A polygon is translated according to the rule (x, y) → (x - 3, y) to create a new polygon. Which statement is true?

• The side lengths of the new polygon are each 3 units less than the corresponding side lengths of the original polygon.

• The angle measures of the new polygon are less than the corresponding angle measures of the original polygon.

• The area of the new polygon is 1/3 the area of the original polygon.

• The perimeter of the new polygon is equal to the perimeter of the original polygon.

Circle Q was transformed to create circle Q'. Refer to the diagram provided. Which rule best describes the transformation that was applied to circle Q to create circle Q'?

• (x, y) → (−y, x)

• (x, y) → (x − 6, y − 8)

• (x, y) → (−x, −y)

• (x, y) → (x, −y)

A rectangular prism and its dimensions are shown in the drawing. What is the total surface area of the rectangular prism in square inches?

• A) 211.5 in²

• B) 177.2 in²

• C) 180.0 in²

• D) 105.8 in²

Triangle MNP is similar to triangle RTV. Refer to the diagram provided. Create a proportion that can be used to solve for x, the length of RV.

• 9/12=x/4

• 9/15=x/4

• x/y=15/9

• x/4=12/9

The diagram shows a tin can in the shape of a cylinder and its dimensions. What is the volume of the can in cubic inches in terms of π?

• A) 108π in³

• B) 324π in³

• C) 81π in³

• D) 54π in³

Triangle KLM was dilated with the origin as the center of dilation to create triangle K'L'M'. Refer to the diagram provided. Which rule best represents the dilation that was applied to triangle KLM to create triangle K'L'M'?

• A) (x, y) → (1.5x, 1.5y)

• B) (x, y) → (0.5x, 0.5y)

• C) (x, y) → (3.5x, 3.5y)

• D) (x, y) → (2.5x, 2.5y)

Triangle ABC is graphed in Quadrant I of a coordinate plane, and none of the vertices have an x-coordinate or y-coordinate of 0. Triangle ABC is rotated 90° clockwise with the origin as the center of rotation to create triangle A'B'C'. Which statement must be true?

• The sum of the angle measures of triangle A'B'C' is 90° more than the sum of the angle measures of triangle ABC.

• The side lengths of triangle A'B'C' are greater than their corresponding side lengths of triangle ABC.

• Each angle measure of triangle ABC is less than the corresponding angle measure of triangle A'B'C'.

• The corresponding sides of triangle ABC and triangle A'B'C' are congruent.

Trapezoid PQRT will be translated 3 units left and 4 units up to create trapezoid P'Q'R'T'. Write a rule to represent the transformation that should be applied to trapezoid PQRT to create trapezoid P'Q'R'T'. No spaces.

The height of a cylindrical can is 4 7/16 inches and the radius is 3 inches. Which measurement is closest to the total surface area of the can in square inches?

• 83.64 in.^2

• 55.96 in.^2

• 41.82 in.^2

• 140.19 in.^2