# ACT Questions: Coordinate Geometry

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Videos, examples, solutions, activities and worksheets to help ACT students review some coordinate geometry questions.

ACT Math Solution - Coordinate Geometry
Example:
If the point with coordinates (3, y1) lies on the graph y = -5x + 4, what is the value of y1?
A. 19
B. -1/5
C. 4
D. -11
E. -5

ACT Question - Geometry on the Coordinate Plane
Example:
The sides of a square are 3 cm long. One vertex of the square is at (2,0) on a square coordinate grid marked in centimeter units. Which of the following points could also be a vertex of the square?
F. (-4,0)
G. (0,1)
H. (1,-1)
J. (4,1)
K. (5,0)

ACT Practice Question: Circles in Coordinate Geometry
Example:
In the standard (x,y) plane, a circle has a center at (2,-3) and a circumference of 8π. Which of the following is an equation for this circle?
A. (x - 2)2 + (y - 3)2 = 16
B. (x + 2)2 + (y - 3)2 = 16
C. (x - 2)2 + (y + 3)2 = 16
D. (x + 2)2 + (y - 3)2 = 64
E. (x - 2)2 + (y + 3)2 = 64

ACT Math Test: Coordinate Geometry Problem
There are nine coordinate geometry problems on the ACT Math Test. Can you work this one in ONE minute or less?
Example:
In the standard (x,y) coordinate plane, the midpoint of AB is (-2,7) and A is located at (-1,4). Which of the following gives the coordinates of point B?
A. (0,1)
B. (-1,3)
C. (-1.5,5)
D. (1.5,2.5)
E. (-3,10)

ACT Math Coordinate Geometry Practice Question
Example:
Shown below is the graph of the equation y = 3x + 1 for values of x such that 0 ≤ x ≤ 3.
Which of the following statements is (are) true?
I. The graph has a constant slope 3.
II. The point (2,6) exists on the graph.
III. The range of the graph consists of all values of y such that 1 ≤ y ≤ 10.
A. I only
B. I and II
C. I and III
D. I, II, III
E. None of the above.

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