GRE Plane and Coordinate Geometry 4

Question 1

The line y = 3x + 2 is parallel to which line?

Accepted Answer

y = 3x − 5

Answer

Parallel lines share the same slope of 3.

Question 2

What is the area of a square whose diagonal is 6√2?

Accepted Answer

36

Answer

A diagonal of 6√2 means side 6, so area = 6² = 36.

Question 3

A central angle of 90° in a circle of radius 4 cuts off an arc of what length?

Accepted Answer

2π

Answer

Arc = (90/360) × 2π(4) = ¼ × 8π = 2π.

Question 4

The x-intercept of the line 2x + 3y = 12 is at what point?

Accepted Answer

(6, 0)

Answer

Set y = 0: 2x = 12, so x = 6, giving (6, 0).

Question 5

An equilateral triangle has side length 6. What is its area?

Accepted Answer

9√3

Answer

Area = (√3/4)s² = (√3/4)(36) = 9√3.

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