WorksheetsUnit 7 - Shapes on a Coordinate Plane Study Guide
Total questions: 19
Worksheet time: 10mins
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)
What is the midpoint of the longest side of the triangle with vertices (1, 4), (3, 4), and (3, 6)?
(1, 1)
(2, 4)
(2, 5)
(3, 5)
Which equation represents a line that is parallel to Line h?
A. x = 2
B. y = \frac{1}{2}x
C. x = y + 2
D. y = \frac{1}{2}
In the figure below, segment AB is the hypotenuse of right triangle ABC. Which of the following could be the coordinates of point C?
(0, 0)
(1, 7)
(2, 1)
(2, 2)
What are the coordinates of the midpoint of the line segment with endpoints (2, 5) and (4, -7)?
(-1, -6)
(-2, -2)
(3, -1)
(6, -2)
Two vertices of a square are shown on the coordinate grid below. What could be the coordinates of the other two vertices of the square?
(1, 2) and (2, –1)
(1, 2) and (2, 1)
(–1, 2) and (2, –1)
(–1, 2) and (2, 1)
The length of the sides of a square are represented by the expression 3x – 2. Which expression represents the area of the square?
(3x – 2) + (3x – 2)
(3x – 2)(3x – 2)
9x + 4
6x + 4
A triangle is graphed in this coordinate plane. What is the area of this triangle in square units?
9
12
18
36
Marisa had a rectangular dog pen that was 8 feet long by 12 feet wide, as shown below. If she were to increase the length by 2 feet, which BEST describes how the area of the dog pen would be affected by this increase?
A. The area would increase by 2 square feet.
B. The area would increase by 10 square feet.
C. The area would increase by 16 square feet.
D. The area would increase by 24 square feet.
If the sum of x and y is 90 and y is 6 more than four times x, which of the following systems of equations could be used to solve for x and y?
A. x + y = 90 x - 4y = 6
B. x + y = 90 4x - y = 6
C. x + y = 90 4x - y = -6
D. x + y = 90 6x - y = -4
