Similar Shapes Exploration
Explore the properties of similar shapes, including corresponding angles and proportional side lengths, with this Grade 7 geometry worksheet.
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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 of the following statements is true about similar shapes?
Similar shapes have the same size and the same shape.
Similar shapes have the same shape but can have different sizes.
Similar shapes have different shapes but the same size.
Similar shapes are always congruent.
2. If two triangles are similar, what can you conclude about their corresponding angles?
They are congruent.
They are proportional.
They sum to 180 degrees.
They are supplementary.
3. In similar shapes, the ratio of corresponding side lengths is called the .
4. If two rectangles are similar, their corresponding angles are .
5. Consider the two rectangles below. Are they similar? Explain your answer.
6. Triangle ABC has side lengths 3 cm, 4 cm, and 5 cm. Triangle DEF has side lengths 6 cm, 8 cm, and 10 cm. Are these triangles similar? Justify your answer.
7. All squares are similar to each other.
True
False
8. All rectangles are similar to each other.
True
False
9. A photograph is 4 inches wide and 6 inches long. If you enlarge the photograph so that its width is 10 inches, what will be its new length to maintain similarity?