Similar and Congruent Shapes Worksheet
Grade 7 math worksheet focusing on identifying and understanding similar and congruent shapes, including properties and transformations.
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Similar and Congruent Shapes
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following statements is true about congruent shapes?
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 have different shapes and different sizes.
2. Two triangles are similar if their corresponding angles are:
Congruent
Proportional
Complementary
Supplementary
3. All squares are similar to each other.
True
False
4. If two shapes are congruent, they are also similar.
True
False
5. Similar shapes have corresponding angles that are and corresponding sides that are .
6. A is a transformation that produces an image that is the same shape as the original but a different size.
7. Consider the two rectangles below. Are they similar, congruent, or neither? Explain your reasoning.
Match the term with its definition.
8. Congruent
a. Same shape, different size
9. Similar
b. Same shape, same size
10. Dilation
c. A transformation that changes the size of a shape