RICAS Geometry and Measurement 1

Question 1

A rectangle has a length of 12 cm and a width of 7 cm. What is its perimeter?

Accepted Answer

38 cm

Answer

Perimeter of a rectangle = 2(length + width) = 2(12 + 7) = 2(19) = 38 cm.

Question 2

Which of the following describes a right angle?

Accepted Answer

An angle that measures exactly 90°

Answer

A right angle measures exactly 90° and is often shown with a small square symbol at the vertex.

Question 3

A triangle has sides of 5 in, 12 in, and 13 in. Which type of triangle is this?

Accepted Answer

Right triangle

Answer

Since 5² + 12² = 25 + 144 = 169 = 13², the Pythagorean theorem confirms this is a right triangle.

Question 4

What is the area of a triangle with a base of 10 m and a height of 6 m?

Accepted Answer

30 m²

Answer

Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 m².

Question 5

On a coordinate plane, point A is at (2, 3) and point B is at (2, 8). What is the distance between A and B?

Accepted Answer

5 units

Answer

Since the x-coordinates are the same, the distance is the absolute difference of y-coordinates: |8 − 3| = 5 units.

(RICAS) Rhode Island State Practice Test