Section C Section C Checkpoint

Problem 1

  1. Which shape is congruent to Shape A? Describe a rigid transformation that takes A to that figure.
  2. Which shape is not congruent to Shape A? Explain how you know.
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Solution
  1. Shape B is congruent to Shape A. Sample response: Translate Shape A 4 units right, then rotate 90∘90^\circ clockwise around (2,1)(2, 1).
  2. Shape C is not congruent to Shape A. Sample response: Shape C has 2 side lengths of 3, but Shape A has no side lengths of 3, so they cannot be congruent.
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Sample Response
  1. Shape B is congruent to Shape A. Sample response: Translate Shape A 4 units right, then rotate 90∘90^\circ clockwise around (2,1)(2, 1).
  2. Shape C is not congruent to Shape A. Sample response: Shape C has 2 side lengths of 3, but Shape A has no side lengths of 3, so they cannot be congruent.