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Geometry 9-1 Translations
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by Matthew Richardson
| 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.
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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.
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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10 pts
Problem 2 Got It?
A
B
C
D
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10 pts
Problem 2 Got It?
A
B
C
D
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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?
A
B
C
D
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10 pts
Problem 5 Got It?
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B
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D
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10 pts
A
B
C
D
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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
A
B
C
D
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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.
  • A(1, -2); x = -2
    Answer by dragging items here
  • A(-1, -1); y = 1
    Answer by dragging items here
  • A(-1, 2); y = x
    Answer by dragging items here
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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.
  • 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
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10 pts
Reflection: Math success
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