Unit 7 - Shapes on a Coordinate Plane Study Guide

The graph of a line is shown below. Which of the following linear equations is a line that passes through the point (-1, -2) and is perpendicular to the given line?

• y = -1/4x + 1

• y = -1/4x - 1

• y = 4x - 2

• y = 4x + 2

The line y = 5x + 2 is

• parallel to

• perpendicular to

• identical to

• neither parallel nor perpendicular to

The equations y = x + 17 and y = -x - 17 represent

• parallel lines

• perpendicular lines

• intersecting, non-perpendicular lines

• identical lines

Which of the following is closest to the area of quadrilateral ABCD shown below in square units?

• 24

• 47

• 71

• 88

Graham has enough fencing to enclose a rectangular garden with a perimeter of 140 feet. If the width of his garden is 20 feet less than the length, what is the width of the garden?

• 20 feet

• 25 feet

• 40 feet

• 45 feet

The perimeter of a triangle is 17x - 5 units. One side is 3x + 5 units and another is 8x - 3 units. How many units long is the third side?

• 6x - 7

• 6x - 13

• 12x - 7

• 22x - 23

A figure with two right triangles is shown below. What is the distance between A and B?

• 21 feet

• 33 feet

• 41 feet

• 57 feet

The midpoint between two points is (−16, 12). If one endpoint is (−24, 8), then the other is (−8, 1).

• What is the other endpoint if one endpoint is (−24, 8) and the midpoint is (−16, 12)?

• (−10, 14)

• (−20, 16)

• (−12, 10)

What are the coordinates of the midpoint of the line segment with endpoints (7, 2) and (3, 4)?

• (2, 1)

• (4, 2)

• (5, 3)

• (4, −2)

One endpoint of a segment is M(0, 8). The midpoint of the segment is Q(4, 10). What are the coordinates of the other endpoint?

• (−2, −1)

• (2, 9)

• (8, 12)

• (8, 28)