SATs Geometry & Trigonometry 2

Question 1

In a 30-60-90 triangle, the shortest leg measures 6. What is the length of the hypotenuse?

Accepted Answer

12

Answer

In a 30-60-90 triangle the hypotenuse is twice the shortest leg: 2 × 6 = 12.

Question 2

What is the slope of the line passing through points (2, 4) and (6, 12)?

Accepted Answer

2

Answer

Slope = (12 − 4) / (6 − 2) = 8 / 4 = 2.

Question 3

If tan(θ) = 1 and 0° < θ < 90°, what is θ?

Accepted Answer

45°

Answer

tan(45°) = 1 because sin(45°) = cos(45°) = √2/2.

Question 4

What is the perimeter of an equilateral triangle with side length 9?

Accepted Answer

27

Answer

Perimeter = 3s = 3(9) = 27.

Question 5

A sector of a circle has a central angle of 90° and a radius of 8. What is its arc length?

Accepted Answer

4π

Answer

Arc length = (90/360) × 2π(8) = (1/4)(16π) = 4π.

SATs (Standard Assessment Test) Practice Test