Common Core: 8th Grade Math : Parallel Lines: CCSS.Math.Content.8.G.A.1c

Study concepts, example questions & explanations for Common Core: 8th Grade Math

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Example Questions

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Example Question #350 :Grade 8

Observe the location of the black and orange parallel lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black lines have undergone in order to reach the position of the orange lines. Select the answer that provides the correct transformation shown in the provided image.

10

Possible Answers:

Reflection over the y-axis

Translation down

Arotation

Correct answer:

Translation down

Explanation:

First, let's define the possible transformations.

Rotation:A rotation means turning an image, shape, line, etc. around a central point.

Translation:A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection:A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the lines were not rotatedbecause that rotation would have caused the lines to be horizontal, but the lines are still vertical. The lines were not reflected over the y-axis because that transformation would have caused the orange lines to be in the top left quadrant; thus, the correct answer is a translation down.

Example Question #31 :Geometric Translations

Observe the location of the black and orange parallel lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black lines have undergone in order to reach the position of the orange lines. Select the answer that provides the correct transformation shown in the provided image.

11

Possible Answers:

A translation down and to the left

A reflection over the y-axis

Arotation

Correct answer:

A translation down and to the left

Explanation:

First, let's define the possible transformations.

Rotation:A rotation means turning an image, shape, line, etc. around a central point.

Translation:A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection:A reflection mean flipping an image, shape, line, etc. over a central line.

In the images from the question, the lines were not rotatedbecause that rotation would have caused the lines to be horizontal, but the lines are still vertical. The lines were not reflected over the y-axis because that transformation would have caused the orange lines to be in the top left quadrant; thus, the correct answer is a translation down and to the left.

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