Similar Figures Worksheet
This worksheet focuses on understanding and identifying similar figures, including triangles and quadrilaterals, by examining corresponding angles and proportional side lengths.
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Similar Figures Practice
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Read each question carefully and answer to the best of your ability. Show all your work when necessary.
1. Which of the following statements is true about similar figures?
Corresponding sides are congruent.
Corresponding angles are congruent.
Both corresponding sides and angles are congruent.
None of the above.
2. If two triangles are similar, and the ratio of their corresponding sides is 1:3, what is the ratio of their perimeters?
1:3
1:6
1:9
3:1
3. If two figures are similar, their corresponding angles are and their corresponding sides are .
4. The symbol for similarity is .
5. Triangle ABC has side lengths 6 cm, 8 cm, and 10 cm. Triangle DEF is similar to Triangle ABC and has a scale factor of 2. What are the side lengths of Triangle DEF?
6. Observe the triangles below. Are they similar? Justify your answer.
7. All squares are similar.
True
False
8. All rectangles are similar.
True
False
9. A rectangular photograph is 4 inches wide and 6 inches long. If you enlarge the photograph to be similar, and the new width is 10 inches, what is the new length?