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Triangle Congruence

Last updated about 4 years ago
34 questions
Note from the author:
Determining and using triangle congruence

Learning Targets:

✳ I can use and describe rigid motions to decide if two figures are congruent (MGSE9-12.G.CO.6)
✳ I can use the definition of congruence to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. (MGSE9-12.G.CO.7)
✳ I can explain how the criteria for triangle congruence (SSS, SAS, ASA, AAS, and HL) follow from the definition of congruence in terms of rigid motions. (MGSE9-12.G.CO.8)
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Which of the learning targets/standards are you LEAST confident with?

Rigid Motion Review

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Two figures are congruent if and only if one can be obtained from the other by a sequence of ___________ ______________.

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Select all transformations that are RIGID MOTIONS.

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Are the triangles congruent?
Put the RIGID MOTIONS argument in the correct order.

  1. A reflection will map △ABC onto △RGD.
  2. A reflection is a rigid motion.
  3. Therefore, △ABC ≅ △RGD.

Triangle Congruence Theorems

Determine if the two triangles are congruent. If they are, state how you know.
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Determine what ADDITIONAL information would be needed to show that the two triangles are congruent.
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In trianlge ΔAGE and ΔOLD, ∠A ≅ ∠O, and AE ≅ OD. What ADDITIONAL information is needed to prove that the triangles are congruent by AAS?

Corresponding Sides and Angles

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