Congruent Figures Worksheet
Grade 9 Geometry worksheet focusing on identifying and proving congruent figures, including triangles and polygons.
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Standards
Topics
Congruent Figures
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following statements is true about congruent figures?
Congruent figures have the same shape but different sizes.
Congruent figures have the same size but different shapes.
Congruent figures have the same shape and the same size.
Congruent figures are always reflections of each other.
2. If two triangles are congruent, then all their corresponding angles and sides are:
Proportional
Equal
Similar
Perpendicular
1. Two geometric figures are if they have the exact same size and shape.
2. The symbol for congruence is .
3. If triangle ABC is congruent to triangle DEF (ΔABC ≅ ΔDEF), then side AB corresponds to side .
1. All squares are congruent.
True
False
2. If two figures are congruent, their areas are always equal.
True
False
1. Consider two triangles, ΔXYZ and ΔPQR. If XY = PQ, YZ = QR, and ZX = RP, what congruence postulate proves that ΔXYZ ≅ ΔPQR? Explain your reasoning.
2. Given the two triangles below, identify the corresponding congruent parts and write a congruence statement.
Match each congruence postulate/theorem with its description.
1. SSS
a. Two angles and the included side are congruent.
2. SAS
b. All three sides are congruent.
3. ASA
c. Two sides and the included angle are congruent.
4. AAS
d. Two angles and a non-included side are congruent.