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Questions and Answers
If two triangles have the same side lengths but different angle measures, can they be considered congruent?
If two triangles have the same side lengths but different angle measures, can they be considered congruent?
- Yes, as long as the sum of their angles is 180 degrees
- No, congruence only applies to polygons with four or more sides
- Yes, because they have the same side lengths
- No, they must have the same side lengths _and_ angle measures to be congruent (correct)
What is the minimum number of corresponding parts (sides or angles) that must be congruent for two triangles to be considered congruent?
What is the minimum number of corresponding parts (sides or angles) that must be congruent for two triangles to be considered congruent?
- 3 sides or 3 angles
- All 3 sides and all 3 angles (correct)
- 2 sides and 1 angle
- 1 side and 2 angles
If two triangles are congruent, which of the following statements is not necessarily true?
If two triangles are congruent, which of the following statements is not necessarily true?
- Their sides are parallel to each other (correct)
- Their angles are supplementary to each other
- They have the same perimeter
- They have the same area
If triangle ABC ≅ triangle DEF, which of the following pairs of angles are congruent?
If triangle ABC ≅ triangle DEF, which of the following pairs of angles are congruent?
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If two right triangles have one leg of length 5 units and one of 12 units, are they necessarily congruent?
If two right triangles have one leg of length 5 units and one of 12 units, are they necessarily congruent?
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