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Geometry 9-1 Translations

| 29 Questions

Note 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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1

5 pts

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

2

5 pts

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

4

10 pts

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

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5

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.

6

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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7

10 pts

Problem 2 Got It?

A

B

C

D

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8

10 pts

Problem 2 Got It?

A

B

C

D

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9

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.

11

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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12

10 pts

Problem 4 Got It?

A

B

C

D

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13

10 pts

Problem 5 Got It?

A

B

C

D

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14

10 pts

A

B

C

D

15

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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16

10 pts

A

B

C

D

17

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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18

10 pts

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

19

10 pts

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

20

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.

21

30 pts

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

22

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.

- A(1, -2); x = -2Answer by dragging items here
- A(-1, -1); y = 1Answer by dragging items here
- A(-1, 2); y = xAnswer by dragging items here

23

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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24

5 pts

Respond with yes or no.

25

5 pts

Respond with yes or no.

26

5 pts

Right

Left

Up

Down

27

5 pts

Enter only a number to represent the distance.

28

10 pts

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

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

29

10 pts

Reflection: Math success

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