RICAS Geometry and Measurement 3

Question 1

A figure is reflected over the y-axis. If a vertex was originally at (−3, 4), where does it move?

Accepted Answer

(3, 4)

Answer

Reflecting over the y-axis changes the sign of the x-coordinate: (−3, 4) becomes (3, 4).

Question 2

What is the surface area of a cube with side length 4 in?

Accepted Answer

96 in²

Answer

A cube has 6 faces; surface area = 6 × side² = 6 × 16 = 96 in².

Question 3

Two supplementary angles are in the ratio 2:3. What is the measure of the larger angle?

Accepted Answer

108°

Answer

The angles are 2x and 3x; 2x + 3x = 180° gives x = 36°, so the larger angle is 3 × 36° = 108°.

Question 4

On a coordinate grid, a rectangle has vertices at (1, 1), (5, 1), (5, 4), and (1, 4). What is its area?

Accepted Answer

12 square units

Answer

Width = 5 − 1 = 4 units; height = 4 − 1 = 3 units; area = 4 × 3 = 12 square units.

Question 5

A cylinder has a radius of 3 cm and a height of 10 cm. What is its approximate volume? (Use π ≈ 3.14)

Accepted Answer

282.6 cm³

Answer

Volume = π × r² × h = 3.14 × 9 × 10 = 282.6 cm³.

(RICAS) Rhode Island State Practice Test