Geometry Review

Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W'K'R'P'. Which rule describes this transformation?

• (x, y) → (x - 4, y + 5)

• (x, y) → (x + 4, y - 5)

• (x, y) → (x + 4, y + 5)

• (x, y) → (x - 4, y - 5)

Triangle JKL is dilated with the origin as the center of dilation to create triangle J'K'L'.

Which rule best represents the dilation that has been applied to triangle JKL to create triangle J'K'L'?

• (x, y) → (x + 6, y - 3)

• (x, y) → (x + 4.5, y + 3)

• (x, y) → (1/2x, 1/2y)

• (x, y) → (7/4x, 7/4y)

Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'.

Which rule describes this transformation?

• (x, y) → (x, -y)

• (x, y) → (x, y + 8)

• (x, y) → (-y, x)

• (x, y) → (-x, y)

A figure was transformed on a coordinate grid using the rule (x, y) → (-x, -y). Which of the following describes this transformation?

• A reflection across the x-axis

• A reflection across the y-axis

• A 90⁰ clockwise rotation about the origin

• A 180⁰ clockwise rotation about the origin

Triangle XYZ is rotated 90⁰ clockwise about the origin to form triangle X'Y'Z.

Which statement is true?

• The sum of the angle measures of triangle XYZ is 90⁰ less than the sum of the angle measures of triangle X'Y'Z'.

• The angle measures of triangle XYZ are less than the corresponding angle measures of triangle X'Y'Z'.

• Triangle XYZ is not congruent to triangle X'Y'Z'.

• The area of triangle XYZ is equal to the area of triangle X'Y'Z'.

A transformation is applied to a figure to create a new figure on a coordinate grid. Which transformation does NOT preserve congruence?

• A rotation of 270⁰ counterclockwise

• A reflection across the y-axis

• A dilation by a scale factor of 1.5

• A translation of 50 units down

A preschool has a rectangular field and a rectangular playground that are similar in shape. Each dimension of the filed is 3.2 times the corresponding dimension of the playground. Which statement is true?

• The area of the field is 6.4 times the area of the playground.

• The area of the field is 10.24 times the area of the playground.

• The perimeter of the field is 6.4 times the perimeter of the playground.

• The perimeter of the field is 10.24 times the perimeter of the playground.

The diameter of a cylinder is 2.5 inches, and the height is 7.5 inches. Which equation can be used to find V, the volume of the cylinder in cubic inches?

• V = π(2.5)²(7.5)

• V = π(7.5)²(2.5)

• V = π(1.25)²(7.5)

• V = π(3.75)²(2.5)

The side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters. The height of the prism is 16.5 meters.

What is the lateral surface area of the prism in square meters?

A rectangular prism and its dimensions are shown in the diagram.

What is the total surface area of this prism in square inches?