2.5: similar figures
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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. - PowerPoint PPT PresentationTRANSCRIPT
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2.5: Similar Figures
![Page 2: 2.5: Similar Figures](https://reader036.vdocuments.site/reader036/viewer/2022062309/56813660550346895d9dee58/html5/thumbnails/2.jpg)
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.
![Page 3: 2.5: Similar Figures](https://reader036.vdocuments.site/reader036/viewer/2022062309/56813660550346895d9dee58/html5/thumbnails/3.jpg)
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?
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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.
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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?