Congruent Figures Worksheet
This worksheet focuses on understanding and identifying congruent figures, including triangles, polygons, and their properties at a Grade 12 level.
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Congruent Figures
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Read each question carefully and provide the best answer. Show all your work for short answer questions.
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 reflections of each other.
2. If two triangles are congruent, which of the following must be true?
Their corresponding angles are proportional.
Their corresponding sides are proportional.
Their corresponding angles are equal.
Their areas are different.
3. Two figures are if they have the same size and shape.
4. Corresponding of congruent figures are equal in measure.
5. A rigid motion, such as a , , or , transforms a figure into a congruent figure.
6. All squares are congruent.
True
False
7. If two figures are congruent, then their perimeters are equal.
True
False
8. Consider the two triangles shown below. Are they congruent? Justify your answer using congruence postulates.
9. Triangle ABC has vertices A(1, 2), B(4, 2), and C(2, 5). Triangle DEF has vertices D(6, 1), E(9, 1), and F(7, 4). Are these two triangles congruent? Show mathematical proof.
Match the congruence postulate with its description.
10. SSS
a. Two angles and the included side are congruent.
11. SAS
b. All three sides are congruent.
12. ASA
c. Two sides and the included angle are congruent.
13. Explain the difference between congruent figures and similar figures. Provide examples of each.