Congruent Figures Worksheet
This worksheet focuses on identifying and proving congruence in geometric figures, including triangles and polygons, aligned with Grade 11 Geometry standards.
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Topics
Congruent Figures
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Read each question carefully and provide the best answer. Show all your work for full credit.
1. Which of the following statements is true about congruent figures?
They have the same shape but different sizes.
They have the same size but different shapes.
They have the same shape and the same size.
They are always similar but never congruent.
2. If two triangles are congruent by the SSS postulate, what does this mean?
All three angles are congruent.
All three sides are congruent.
Two sides and the included angle are congruent.
Two angles and the included side are congruent.
3. Two polygons are if their corresponding sides and corresponding angles are congruent.
4. The acronym CPCTC stands for .
5. All squares are congruent to each other.
True
False
6. If two triangles are congruent, then their areas are equal.
True
False
7. Given triangle ABC and triangle DEF below. If AB = DE, BC = EF, and AC = DF, state the congruence postulate that proves △ABC ≅ △DEF.
8. Consider two quadrilaterals, ABCD and PQRS. If ABCD ≅ PQRS, list three pairs of corresponding congruent angles and three pairs of corresponding congruent sides.
9. Write a two-column proof to prove that if two lines are parallel and cut by a transversal, then the alternate interior angles are congruent.
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