ACT Math : Coordinate Plane

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #377 : Geometry

What are the coordinates for point C?

Graph3

Possible Answers:

\(\displaystyle (-2, -4)\)

\(\displaystyle (-4, -2)\)

\(\displaystyle (4, 2)\)

\(\displaystyle (2, -4)\)

Correct answer:

\(\displaystyle (-4, -2)\)

Explanation:

Find the x-coordinate by going left on the horizontal x-axis until you come across the line that is directly above the point. The x-coordinate is \(\displaystyle -4\).

Now, continue down until you reach the point and look across to the vertical y-axis. The y-coordinate is \(\displaystyle -2\).

\(\displaystyle (-4, -2)\) are the coordinates for point C.

Example Question #378 : Geometry

What are the coordinates for point D?

Graph4

Possible Answers:

\(\displaystyle (4, 4)\)

\(\displaystyle (-4, -4)\)

\(\displaystyle (-4, 4)\)

\(\displaystyle (4, -4)\)

Correct answer:

\(\displaystyle (-4, 4)\)

Explanation:

Find the x-coordinate by going left on the horizontal x-axis until you come across the line that is directly under the point. The x-coordinate is \(\displaystyle -4\).

Now, continue up until you reach the point and look across to the vertical y-axis. The y-coordinate is \(\displaystyle 4\).

\(\displaystyle (-4, 4)\) are the coordinates for point D.

Example Question #379 : Geometry

What are the coordinates for point E?

Graph5

Possible Answers:

\(\displaystyle (-2, -2)\)

\(\displaystyle (2, -2)\)

\(\displaystyle (-2, 2)\)

\(\displaystyle (2, 2)\)

Correct answer:

\(\displaystyle (2, -2)\)

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly above the point. The x-coordinate is \(\displaystyle 2\).

Now, continue down until you reach the point and look across to the vertical y-axis. The y-coordinate is \(\displaystyle -2\).

\(\displaystyle (2, -2)\) are the coordinates for point E.

Example Question #381 : Geometry

What are the coordinates for point F?

Graph6

Possible Answers:

\(\displaystyle (4, 6)\)

\(\displaystyle (-6, -4)\)

\(\displaystyle (-4, 6)\)

\(\displaystyle (-4, -6)\)

Correct answer:

\(\displaystyle (-4, -6)\)

Explanation:

Find the x-coordinate by going left on the horizontal x-axis until you come across the line that is directly above the point. The x-coordinate is \(\displaystyle -4\).

Now, continue down until you reach the point and look across to the vertical y-axis. The y-coordinate is \(\displaystyle -6\).

\(\displaystyle (-4, -6)\) are the coordinates for point F.

Example Question #382 : Geometry

What are the coordinates for point G?

Graph7

Possible Answers:

\(\displaystyle (-3, -2)\)

\(\displaystyle (2, 3)\)

\(\displaystyle (-2, -3)\)

\(\displaystyle (3, 2)\)

Correct answer:

\(\displaystyle (2, 3)\)

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly under the point. The x-coordinate is \(\displaystyle 2\).

Now, continue up until you reach the point and look across to the vertical y-axis. The y-coordinate is \(\displaystyle 3\).

\(\displaystyle (2, 3)\) are the coordinates for point G.

Example Question #1 : How To Graph A Point

What are the coordinates for point H?

Graph8

Possible Answers:

\(\displaystyle (-6, 5)\)

\(\displaystyle (-6, -5)\)

\(\displaystyle (6, 5)\)

\(\displaystyle (5, 6)\)

Correct answer:

\(\displaystyle (6, 5)\)

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly under the point. The x-coordinate is \(\displaystyle 6\).

Now, continue up until you reach the point and look across to the vertical y-axis. The y-coordinate is \(\displaystyle 5\).

\(\displaystyle (6, 5)\) are the coordinates for point H.

Example Question #221 : Coordinate Plane

What are the coordinates for point J?

Graph9

Possible Answers:

\(\displaystyle (5, 0)\)

\(\displaystyle (0, 5)\)

\(\displaystyle (0, -5)\)

\(\displaystyle (-5, 0)\)

Correct answer:

\(\displaystyle (0, 5)\)

Explanation:

Since there is no movement on the x-axis, the x-coordinate is \(\displaystyle 0\).

Go up the vertical y-axis until you reach the point. The y-coordinate is \(\displaystyle 5\).

\(\displaystyle (0, 5)\) are the coordinates of point J.

Example Question #331 : Coordinate Geometry

What are the coordinates for point L?

Graph11

Possible Answers:

\(\displaystyle (2, 5)\)

\(\displaystyle (5, 2)\)

\(\displaystyle (2, -5)\)

\(\displaystyle (-5, 2)\)

Correct answer:

\(\displaystyle (2, -5)\)

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly above the point. The x-coordinate is \(\displaystyle 2\).

Now, continue down until you reach the point and look across to the vertical y-axis. The y-coordinate is \(\displaystyle -5\).

\(\displaystyle (2, -5)\) are the coordinates for point L.

Example Question #332 : Coordinate Geometry

What are the coordinates for point M?

Graph12

Possible Answers:

\(\displaystyle (-4, 7)\)

\(\displaystyle (7, 4)\)

\(\displaystyle (4, 7)\)

\(\displaystyle (-7, -4)\)

Correct answer:

\(\displaystyle (7, 4)\)

Explanation:

Find the x-coordinate by going right on the horizontal x-axis until you come across the line that is directly under the point. The x-coordinate is \(\displaystyle 7\).

Now, continue up until you reach the point and look across to the vertical y-axis. The y-coordinate is \(\displaystyle 4\).

\(\displaystyle (7, 4)\) are the coordinates for point M.

Example Question #221 : Coordinate Plane

What are the coordinates for point K?

Graph10

Possible Answers:

\(\displaystyle (-6, -3)\)

\(\displaystyle (-6, 3)\)

\(\displaystyle (6, 3)\)

\(\displaystyle (-3, -6)\)

Correct answer:

\(\displaystyle (-6, -3)\)

Explanation:

Find the x-coordinate by going left on the horizontal x-axis until you come across the line that is above the point. The x-coordinate is \(\displaystyle -6\).

Now, continue down until you reach the point and look across to the vertical y-axis. The y-coordinate is \(\displaystyle -3\).

\(\displaystyle (-6, -3)\) are the coordinates for point K.

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