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Similar Figures · Easy Worksheet 2

Similar Figures — Easy Worksheet 2

Grade 10 · MathSheets    Name: ____________________   Date: __________

Find the missing side length, x.

How to solve

Corresponding sides of similar figures are in the same ratio. Set up a proportion, small side ÷ large side = x ÷ other large side, then cross-multiply and divide to solve for x.

Example

Two similar rectangles have a scale factor of 1:2. One side of the smaller rectangle is 4, and the corresponding side of the larger rectangle is 8. If another side of the larger rectangle is 8, what is the corresponding side of the smaller rectangle (x)?

4x88

Answer: 4

right so far
1. Two similar rectangles have a scale factor of 1:2. One side of the smaller rectangle is 6, and the corresponding side of the larger rectangle is 12. If another side of the larger rectangle is 6, what is the corresponding side of the smaller rectangle (x)?
6x126
2. Two similar rectangles have a scale factor of 1:2. One side of the smaller rectangle is 5, and the corresponding side of the larger rectangle is 10. If another side of the larger rectangle is 4, what is the corresponding side of the smaller rectangle (x)?
5x104
3. Two similar rectangles have a scale factor of 1:2. One side of the smaller rectangle is 3, and the corresponding side of the larger rectangle is 6. If another side of the larger rectangle is 8, what is the corresponding side of the smaller rectangle (x)?
3x68
4. Two similar rectangles have a scale factor of 1:2. One side of the smaller rectangle is 2, and the corresponding side of the larger rectangle is 4. If another side of the larger rectangle is 6, what is the corresponding side of the smaller rectangle (x)?
2x46
5. Two similar rectangles have a scale factor of 1:2. One side of the smaller rectangle is 5, and the corresponding side of the larger rectangle is 10. If another side of the larger rectangle is 10, what is the corresponding side of the smaller rectangle (x)?
5x1010
6. Two similar rectangles have a scale factor of 1:2. One side of the smaller rectangle is 3, and the corresponding side of the larger rectangle is 6. If another side of the larger rectangle is 4, what is the corresponding side of the smaller rectangle (x)?
3x64
7. Two similar rectangles have a scale factor of 1:2. One side of the smaller rectangle is 4, and the corresponding side of the larger rectangle is 8. If another side of the larger rectangle is 10, what is the corresponding side of the smaller rectangle (x)?
4x810
8. Two similar rectangles have a scale factor of 1:2. One side of the smaller rectangle is 2, and the corresponding side of the larger rectangle is 4. If another side of the larger rectangle is 10, what is the corresponding side of the smaller rectangle (x)?
2x410

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