Unit 1- Lesson 5 - Grade 8: Illustrative Mathematics

Select all of the translations that take Triangle T to Triangle U. There may be more than one correct answer.

• A. Translate (-3, 0) to (1, 2) .
• B. Translate (2, 1) to (-2, -1) .
• C. Translate (-4, -3) to (0, -1) .
• D. Translate (1, 2) to (2, 1) .

If the point (13, 10) were reflected using the X-axis as the line of reflection, what would be the coordinates of the image? What about (13, -20)? (13, 570)? Explain how you know.

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Without graphing, predict the coordinates of the image of point R if point R were reflected using the y-axis as the line of reflection.

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What are the coordinates of R'?

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Suppose you reflect a point using the y-axis as line of reflection. How would you describe its image?

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Rotate segment AB 90 degrees counterclockwise around center B. Label the image of A as C. What are the coordinates of C?

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Rotate segment AB 90 degrees counterclockwise around center A. Label the image of B as D. What are the coordinates of D?

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Compare the two 90-degree counterclockwise rotations of segment AB. What is the same about the images of these rotations? What is different?

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Identify the center of rotation. And label the rotated image PQR.

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Identify the line of reflection. And label the reflected image XYZ.

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