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Find the value of x in similar figures using proportions.

Two similar right triangles with side lengths labeled, and a proportion equation shown to find the value of x. Below, two similar trapezoids with side lengths labeled, showing a proportion to find the value of x.

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Show Answer Key & Explanations Step-by-step solution for: Using similar figures to find missing sides

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- The figures shown are similar. Find the value of x.

- The triangles are similar, so the ratios of corresponding sides are equal.

- For the first triangle, the sides are 9, 12, and x (hypotenuse).

- For the second triangle, the sides are 12, 16, and 20 (hypotenuse).

- The ratio of the corresponding sides is 9/12 = 3/4.

- Therefore, x/20 = 3/4.

- Solving for x: x = (3/4) * 20 = 15.

- The value of x is 15.

Parent Tip: Review the logic above to help your child master the concept of finding missing sides of similar figures worksheet.

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