Understanding Rotations and Transformations

The video tutorial explains the concept of pre-image and image in geometry, focusing on triangles. It discusses how to determine the rotation needed to transform a triangle from its original position to a new one. The tutorial covers clockwise and counterclockwise rotations, explaining how to calculate the degrees of rotation using the axes as reference points. It emphasizes the importance of understanding the direction of rotation and provides a step-by-step approach to finding the correct rotation angle.

What does the apostrophe (') signify in the context of triangle vertices?

• It marks the center of rotation.

• It shows the midpoint of the triangle.

• It signifies the new image after transformation.

• It indicates the original position.

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CCSS.HSG.CO.A.2

What is the term used for the original triangle before any transformation?

• Post-image

• Pre-image

• Mid-image

• Base-image

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How is a clockwise rotation represented in terms of degrees?

• Negative degrees

• Positive degrees

• Fractional degrees

• Zero degrees

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the degree sign for a counterclockwise rotation?

• Negative degrees

• Positive degrees

• Zero degrees

• Fractional degrees

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Why is point A chosen as the best point for measuring rotation?

• It lies on the x and y axes, making it easier to measure degrees.

• It is the midpoint of the triangle.

• It is the farthest point from the origin.

• It is the center of the triangle.

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CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

How many degrees are there in each axis?

• 45 degrees

• 60 degrees

• 90 degrees

• 120 degrees

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CCSS.4.MD.C.7

What is the total degree measure if you rotate 90 degrees twice?

• 180 degrees

• 135 degrees

• 225 degrees

• 90 degrees

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Why was the positive rotation route not feasible in this scenario?

• Because the highest option was 90 degrees.

• Because the highest option was 120 degrees.

• Because the highest option was 45 degrees.

• Because the highest option was 165 degrees.

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CCSS.HSG.CO.C.9

What is half of 90 degrees?

• 30 degrees

• 45 degrees

• 60 degrees

• 75 degrees

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the final calculated rotation angle in this activity?

• 135 degrees

• 90 degrees

• 225 degrees

• 180 degrees

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5