Common Core: 8th Grade Math : Angles and Their Mesures: CCSS.Math.Content.8.G.A.1b

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

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Example Questions

Example Question #331 : Grade 8

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

16

Possible Answers:

A reflection over the x-axis 

A  rotation

A translation up and to the right

Correct answer:

A translation up and to the right

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 line was not rotated  because that rotation would have caused direction of the angle to turn a bit, but the angle's direction did not change. The line was not reflected over the y-axis because the angle was not flipped and the opening of the angle is not facing the opposite direction; thus, the correct answer is a translation up and to the right.  

Example Question #12 : Angles And Their Mesures: Ccss.Math.Content.8.G.A.1b

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

14

Possible Answers:

A reflection over the y-axis 

 rotation 

Translation to the right

Correct answer:

Translation to the right

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 line was not rotated  because that rotation would have caused direction of the angle to turn a bit, but the angle's direction did not change. The line was not reflected over the y-axis because the angle was not flipped and the opening of the angle is not facing the opposite direction; thus, the correct answer is a translation up and to the left.  

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