Similar Figures Worksheet
Explore similar figures, understanding how to identify them and calculate missing side lengths using ratios and proportions.
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Similar Figures Practice
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Read each question carefully and answer to the best of your ability. Show your work for all calculations.
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 different shapes but the same size.
They are never congruent.
2. If two figures are similar, what can you say about their corresponding angles?
They are congruent.
They are proportional.
They are supplementary.
They are complementary.
3. Consider the two rectangles below. Are they similar? Explain your reasoning.
4. For two figures to be similar, their corresponding sides must be .
5. The ratio of corresponding side lengths in similar figures is called the factor.
6. Triangle ABC is similar to Triangle DEF. Calculate the length of side DF.
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 photo to be 10 inches wide, what will be its new length to maintain similarity?