Similar Shapes Exploration
This worksheet helps 8th-grade students understand and identify similar shapes, focusing on properties like corresponding angles and proportional side lengths.
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Similar Shapes Exploration
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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 statement is true about similar shapes?
They have the same size and shape.
They have the same shape but different sizes.
They have different shapes but the same size.
They have different shapes and different sizes.
2. If two triangles are similar, their corresponding angles are:
Congruent
Proportional
Complementary
Supplementary
3. Consider the two rectangles below. Are they similar? Explain your reasoning.
4. For two shapes to be similar, their corresponding angles must be , and their corresponding sides must be .
5. The ratio of corresponding side lengths in similar figures is called the factor.
6. Triangle ABC has side lengths 6 cm, 8 cm, and 10 cm. Triangle DEF is similar to ABC and its shortest side is 9 cm. What are the lengths of the other two sides of Triangle DEF?
7. All squares are similar to each other.
True
False
8. All rectangles are similar to each other.
True
False
9. The two triangles shown below are similar. Find the length of the missing side 'x'.
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