Congruence and Transformations 4-1 · Translations, reflections, and rotations produce images that...
Transcript of Congruence and Transformations 4-1 · Translations, reflections, and rotations produce images that...
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Congruence and
Transformations
4-1
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1. Draw, identify, and describe
transformations in the coordinate plane
2. Use properties of rigid motions to
determine whether figures are congruent
and to prove figures congruent.
OBJECTIVES
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REVIEW AND EXTEND
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EXAMPLES
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EXAMPLES
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EXAMPLES
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EXAMPLES
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EXAMPLES
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EXAMPLES
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EXAMPLES
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CHALLENGEApply the transformations M to the polygon with the given
vertices. Name the coordinates of the image point. Identify
and describe the transformations.
M:(𝑥, 𝑦) → (𝑥, −𝑦) → (𝑥 + 3, 𝑦)
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CHALLENGEApply the transformations M to the polygon with the given
vertices. Name the coordinates of the image point. Identify
and describe the transformations.
M:(𝑥, 𝑦) → (𝑥, −𝑦) → (𝑥 + 3, 𝑦)
𝐴(−1,5) → 𝐴′(−1,−5) → 𝐴′′(2, −5)𝐵(1,4) → 𝐵′(1, −4) → 𝐵′′(4, −4)
𝐶(−4,−2) → 𝐶′ −4,2 → 𝐶′′ −1,2
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Translations, reflections,
rotations, and combinations
thereof produce images that
are congruent to their
preimages.
SUMMARY
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LEARNING RUBRIC
Got It: Identify transformation combinations and give multiple coordinate mapping steps to map a preimage onto its image to determine congruence
Almost There: Identify a transformation and its coordinate mapping to map a preimage onto its image to determine congruence
Moving Forward: Identify a transformation and show its coordinate mapping
Getting Started: Graph and identify a transformation with given coordinate mapping
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Pages 220 – 223:
14 – 26 even;
30, 36, 37
HOMEWORK