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2.5: Similar Figures

2.5: Similar Figures. What is a Similar Figure?. Figures that have the same shape, but not necessarily the same size. Two figures are similar when: Corresponding side lengths are proportional. Corresponding angles are congruent. Identifying Similar Figures.

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2.5: Similar Figures

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  1. 2.5: Similar Figures

  2. What is a Similar Figure? • Figures that have the same shape, but not necessarily the same size. • Two figures are similar when: • Corresponding side lengths are proportional. • Corresponding angles are congruent.

  3. Identifying Similar Figures • Each figure is a rectangle. So, corresponding angles are congruent. Check to see if corresponding side lengths are proportional. • Which rectangle is similar to Rectangle A?

  4. Finding an Unknown Measure in Similar Figures • The triangles are similar. Find x. • Because the triangles are similar, corresponding side lengths are proportional. So write and solve a proportion to find x.

  5. Real-Life Application • Because the trapezoids are similar, corresponding side lengths are proportional. So, write and solve a proportion to find h. • An Artist draws a replica of a painting that is on the Berlin Wall. The painting includes a red trapezoid. The shorter base of the similar trapezoid in the replica is 3.75 inches. What is the height h of the trapezoid in the replica?

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