Exploring Similarity in Grade 7
This worksheet focuses on understanding and applying the concept of similarity in geometric figures, including identifying similar shapes, finding corresponding sides and angles, and using scale factors.
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Exploring Similarity
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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 similar figures?
They have the same size and shape.
They have the same shape but different sizes.
They have the same size but different shapes.
They have different sizes and different shapes.
2. If two triangles are similar, their corresponding angles are:
Congruent
Proportional
Supplementary
Complementary
3. The ratio of corresponding side lengths in similar figures is called the .
4. If two figures are similar, their corresponding angles are and their corresponding sides are .
5. Triangle ABC is similar to Triangle DEF. If AB = 6 cm, BC = 9 cm, and DE = 10 cm, what is the length of EF? Show your work.
6. A photograph is 4 inches wide and 6 inches long. If you enlarge it to be 10 inches wide, how long will the enlarged photograph be?
7. All squares are similar.
True
False
8. All rectangles are similar.
True
False
Match each term with its definition.
9. Similar Figures
a. The ratio of corresponding side lengths.
10. Scale Factor
b. Figures that have the same shape but different sizes.
11. Corresponding Angles
c. Angles in the same relative position in similar figures.