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Analyzing Congruency Proofs

Analyzing Congruency Proofs. Projector Resources. Card 1. Card 7. Card 7: Constructing Triangles. Suppose I choose angles 30°, 40° and a side 5 " long. Is there a way to make two triangles with these properties so they are not congruent?. Card 7: Constructing Non-Congruent Triangles.

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Analyzing Congruency Proofs

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  1. Analyzing Congruency Proofs Projector Resources

  2. Card 1

  3. Card 7

  4. Card 7: Constructing Triangles Suppose I choose angles 30°, 40° and a side 5" long. Is there a way to make two triangles with these properties so they are not congruent?

  5. Card 7: Constructing Non-Congruent Triangles Where could I construct the 40° angle? P-4

  6. Card 7: Non-Congruent Triangles Triangle 1 Triangle 2 P-5 5

  7. Cards: Must the Two Triangles be Congruent?

  8. Must the Two Triangles be Congruent? For each card: • Draw examples of pairs of triangles A and B that have the properties stated in the card. • Decide whether the two triangles must be congruent. Record your decision at the bottom of the card. • If you decide that the triangles do not have to be congruent, draw examples and explain why. • If you decide that the triangles must be congruent, try to write a convincing proof.

  9. Working Together Take turns to select a card. When it is your turn: • Glue it in the middle of a blank sheet of paper. • Explain your conclusion, and how you reached that conclusion. • Make sure everyone in your group understands your diagrams. • Ask others in the group to share their reasoning. • Try to to reach an agreed conclusion. • Write an explanation together that is better than your individual explanations. Make sure you discuss Card 5.

  10. Card 5

  11. Jorge’s Proof

  12. Kieran’s Proof

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