CAASPP Measurement and Geometry 5

Question 1

A trapezoid has bases of 8 cm and 12 cm, and a height of 5 cm. What is its area?

Accepted Answer

50 cm²

Answer

Area of a trapezoid = ½ × (b₁ + b₂) × h = ½ × (8 + 12) × 5 = ½ × 20 × 5 = 50 cm².

Question 2

A triangle is reflected across the y-axis. The original triangle has a vertex at (4, −2). Where is the corresponding vertex after reflection?

Accepted Answer

(−4, −2)

Answer

Reflecting across the y-axis changes the sign of the x-coordinate only: (4, −2) becomes (−4, −2).

Question 3

A rectangular room is 12 feet by 10 feet. How many square yards of carpet are needed to cover the floor? (1 yard = 3 feet)

Accepted Answer

13.33 yd²

Answer

Room area = 12 × 10 = 120 ft²; converting: 120 ÷ 9 = 13.33 yd² (since 1 yd² = 9 ft²).

Question 4

Which set of side lengths could form a right triangle?

Accepted Answer

5, 12, 13

Answer

5² + 12² = 25 + 144 = 169 = 13², confirming (5, 12, 13) is a Pythagorean triple.

Question 5

A shape is dilated by a scale factor of 3. If the original shape had an area of 8 cm², what is the area of the dilated shape?

Accepted Answer

72 cm²

Answer

When a shape is dilated by scale factor k, the area changes by k², so new area = 8 × 3² = 8 × 9 = 72 cm².

CAASPP - California Assessment of Student Performance and Progress Practice Test