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Unit 4: Coordinate Geometry - Practice Test
Questions 1 – 4: Lesson 1: Parallel and Perpendicular Lines
1. The line passing through points (x, 4) and (4, -5) is perpendicular to a line with a slope of -7/3.
What is the value of x?
2. Write the equation of the line that has a y-intercept of -6 and is perpendicular to the line -2x = 3y
– 2x -4.
3. Write Which of the following is an equation of the line perpendicular to 3x + 6 = 12 and passing
through (4,0)?
a. y = -1/2 x + 2
b. y = ½ x – 2
c. y = -2x + 8
d. y = 2x - 8
4. Line segment RS is perpendicular to line segment PQ, and the coordinates are R(4, -5), S(-8, 4),
P(0, 6), and Q(-3, y). What is the value of y?
Unit 4: Coordinate Geometry - Practice Test
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Questions 5 – 8: Lesson 2: Midpoint and Distance
5. A line segment has endpoints J(2, 4) and L(6, 8). The point K is the midpoint of JL. What is an
equation of a line perpendicular to JL and passing through K?
A y = −x + 10
B y = −x – 10
Cy=x+2
Dy=x-2
6. Consider Find the area of the rectangle created by the points below.
(-2, 2) (3, 7) (2, -2) (7, 3)
7. On a map, Luis’s house is located at (-7, 6) and Melvin’s house is at (4, -5). What are the
coordinates for Raquel’s home if she lives exactly halfway between Luis and Melvin?
8. On a map’s coordinate grid, Panthersville is located at (—3, 2), and Heel City is located at (4, 8).
Falconton is the midpoint between Panthersville and Heel City. What is the approximate distance
from Panthersville to Falconton?
(One map unit equals one mile.)
a. 3.25 miles
b. 4.61 miles
c. 5.00 miles
d. 9.22 miles
Unit 4: Coordinate Geometry - Practice Test
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Questions 9 – 10: Lesson 3: Figures in the Coordinate Plane
9. The vertices of quadrilateral ABCD are A(−7, 3), B(−4, 6), C(5, −3), and D(2, −6). What kind of
quadrilateral is ABCD?
A trapezoid
B square
C rectangle that is not a square
D rhombus that is not a square
10. Prove that a quadrilateral with vertices (3, 3), (6, 6), (9, 3), and (6, 0) is a square.
Unit 4: Coordinate Geometry - Practice Test
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Solutions:
1. X = 25
2. x = 0
3. D
4. y = 2
5. A
6. 40.0162
7. (-3/2, ½)
8. B
9. C
10. All sides have same length at √18. Intersecting sides are perpendicular since their slopes are
opposite reciprocals of each other. m = 1 and m = -1
Unit 4: Coordinate Geometry - Practice Test
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