PARCC Geometry Practice Test 2

Question 1

A triangle has angles measuring 47°, 68°, and x°. What is the value of x?

Accepted Answer

65°

Answer

47 + 68 + x = 180 → 115 + x = 180 → x = 65°.

Question 2

Two parallel lines are cut by a transversal. One angle measures 73°. What is the measure of its co-interior (same-side interior) angle?

Accepted Answer

107°

Answer

Co-interior angles are supplementary: 73° + x = 180° → x = 107°.

Question 3

A rectangle has a diagonal of 13 cm and a width of 5 cm. What is the length of the rectangle?

Accepted Answer

12 cm

Answer

5² + l² = 13² → 25 + l² = 169 → l² = 144 → l = 12 cm.

Question 4

What is the area of a trapezoid with parallel bases of 8 cm and 14 cm and a height of 6 cm?

Accepted Answer

66 cm²

Answer

A = ½ × (8 + 14) × 6 = ½ × 22 × 6 = 66 cm².

Question 5

Circle O has a radius of 9 cm. What is the length of an arc that subtends a central angle of 80°?

Accepted Answer

4π cm

Answer

Arc length = (80/360) × 2π(9) = (2/9) × 18π = 4π cm.

PARCC Practice Test