Geometry 9-1 Translations

by Matthew Richardson

| 29 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

Solve It! Suppose you write the letters shown below on squares of tracing paper, so their shapes are visible from both sides.

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5 pts

Solve It! How can you move the squares from HUM to get ICE?

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5 pts

Solve It! How can you move the squares from bob to get pod?

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10 pts

Vocabulary: Compare and contrast the geometric definition of transformation with its everyday English definition.

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10 pts

Problem 1 Got It? Does the transformation appear to be a rigid motion? Explain.

Yes, the two figures appear to be congruent so the transformation seems to be a rigid motion.

Yes, the two figures are titled image and preimage so the transformation must be a rigid motion.

No, the two figures appear to be similar but not congruent so the transformation must not be a rigid motion.

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10 pts

Problem 1 Got It? Does the transformation appear to be a rigid motion? Explain.

Yes, the two figures appear to be congruent so the transformation seems to be a rigid motion.

Yes, the two figures are titled image and preimage so the transformation must be a rigid motion.

No, the two figures appear to be similar but not congruent so the transformation must not be a rigid motion.

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10 pts

Problem 2 Got It?

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D

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10 pts

Problem 2 Got It?

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10 pts

Problem 3 Got It? What are the vertices of the transformation?

Select all that apply.

A'(1, -4)

A'(-1, -2)

B'(2, -3)

B'(-1, -3)

C'(-5, 1)

C'(1, -5)

10

30 pts

Problem 3 Got It?

1. Copy △ABC onto the canvas in black.

2. Perform the translation below and graph the post-translation image in blue or green.

3. Draw these segments in red.

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10 pts

Problem 3 Got It? Reasoning: Consider the segments you drew in step 3 of the previous item. What relationships exist among these three segments? Select all that apply.

Two of the segments are parallel, but the third has a different slope.

All three segments are congruent.

All three segments are parallel.

All of the segments have a slope of -4.

Two of the segments have a slope of 4.

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10 pts

Problem 4 Got It?

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10 pts

Problem 5 Got It?

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10 pts

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20 pts

Graphing: Copy ▱NILE to the coordinate plane in black then graph its translation in blue or green.

Label vertices and include all relevant graph detail.

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10 pts

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10 pts

Vocabulary: What is true about a transformation that is not a rigid motion? Include a sketch of an example.

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10 pts

Error Analysis: Your friend says the transformation △ABC →△PQR is a translation. Explain and correct her error.

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10 pts

Reasoning: Write the translation as composition of a horizontal translation and a vertical translation.

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10 pts

Review Lesson 8-1: Navigation: An airplane landed at a point 100 km east and 420 km south from where it took off. If the airplane flew in a straight line from where it took off to where it lands, how many kilometers did it fly? Enter only the number rounded to the nearest kilometer.

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30 pts

Review Lesson 4-7: Proof: Complete the proof on the canvas.

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10 pts

Review Lesson 3-8: The equations on the left go through a specific point A and are perpendicular to a specific line. Match each equation with its point A and equation of a perpendicular line on the right.

- x = -1
- y = -2
- y = -x + 1

- A(1, -2); x = -2
- A(-1, -1); y = 1
- A(-1, 2); y = x

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10 pts

Vocabulary Review: Fill in the blanks to complete the sentence:

If two triangles are congruent, corresponding angle measures are the same/different and corresponding side lengths are the same/different.

the same; the same

the same; different

different; the same

different: different

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5 pts

Respond with yes or no.

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5 pts

Respond with yes or no.

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5 pts

Right

Left

Up

Down

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5 pts

Enter only a number to represent the distance.

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10 pts

Key Concept: Translation: Complete each sentence with the correct word from the left column.

- some
- all
- change
- preserve

- Translations move __?__ points in a figure the same distance, in the same direction.
- Translations __?__ side lengths of the figure.
- Translations __?__ angle measures of the figure.

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10 pts

Reflection: Math success

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