PARCC Geometry 2

Question 1

Two triangles are similar with a scale factor of 3. If the smaller triangle has an area of 8 square units, what is the area of the larger triangle?

Accepted Answer

72 square units

Answer

Area scales by the square of the linear scale factor, so 8 × 3² = 72.

Question 2

A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?

Accepted Answer

15

Answer

By the Pythagorean theorem, √(9² + 12²) = √225 = 15.

Question 3

What is the sum of the interior angles of a regular hexagon?

Accepted Answer

720°

Answer

The sum is (n − 2) × 180° = (6 − 2) × 180° = 720°.

Question 4

A circle has a radius of 5. What is its area? (Use π ≈ 3.14)

Accepted Answer

78.5

Answer

Area = πr² = 3.14 × 25 = 78.5.

Question 5

Which transformation produces a figure that is congruent to the original but reversed, like a mirror image?

Accepted Answer

Reflection

Answer

A reflection flips a figure over a line, creating a congruent mirror image.

PARCC Practice Test