SAT Geometry & Trigonometry 2

Question 1

What is the slope of a line perpendicular to y = 2x + 3?

Accepted Answer

−1/2

Answer

Perpendicular lines have slopes that are negative reciprocals; the negative reciprocal of 2 is −1/2.

Question 2

What is the area of a triangle with base 8 and height 5?

Accepted Answer

20

Answer

Area = (1/2) × base × height = (1/2)(8)(5) = 20.

Question 3

In right triangle ABC, angle C = 90° and angle A = 30°. If BC (the shorter leg) = 4, what is the length of hypotenuse AB?

Accepted Answer

8

Answer

In a 30-60-90 triangle the hypotenuse is twice the shorter leg, so AB = 2 × 4 = 8.

Question 4

What is the circumference of a circle with diameter 10?

Accepted Answer

10π

Answer

Circumference = πd = π(10) = 10π.

Question 5

A rectangle has a perimeter of 30 and a width of 6. What is its area?

Accepted Answer

54

Answer

2(l + w) = 30 → l + w = 15 → l = 9; Area = 9 × 6 = 54.

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