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More Lessons for ACT Math

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

**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 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 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.

**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

More Lessons for ACT Math

Math Worksheets

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

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)

Example:

If the point with coordinates (3, y

A. 19

B. -1/5

C. 4

D. -11

E. -5

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.

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)

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)

B. (x + 2)

C. (x - 2)

D. (x + 2)

E. (x - 2)

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