Similar Polygons

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Slide 1

Proportions and Similarity Similar Polygons

Slide 2

Similar Polygons You will learn to identify similar polygons.

Slide 3

Similar Polygons A polygon is a ______ figure in a plane formed by segments called sides. closed It is a general term used to describe a geometric figure with at least three sides. Polygons that are the same shape but not necessarily the same size are called ______________. similar polygons The symbol ~ is used to show that two figures are similar. ΔABC ~ ΔDEF

Slide 4

Similar Polygons proportional Polygon ABCD ~ polygon EFGH

Slide 5

Similar Polygons Determine if the polygons are similar. Justify your answer. 1) Are corresponding angles are _________. congruent 2) Are corresponding sides ___________. proportional 7 27 21 9 The polygons ARE similar!

Slide 6

Similar Polygons Determine if the polygons are similar. Justify your answer. 1) Are corresponding angles are _________. congruent 2) Are corresponding sides ___________. proportional 4 7 6 5 0.66 = 0.71 The polygons are NOT similar!

Slide 7

Similar Polygons Find the values of x and y if ΔRST ~ ΔJKL 4 7 5 x 4x = 35 4 7 6 y + 2 4(y + 2) = 42 4y + 8 = 42 4y = 34

Slide 8

Similar Polygons Scale drawings are often used to represent something that is too large or too small to be drawn at actual size. Contractors use scale drawings to represent the floorplan of a house. Use proportions to find the actual dimensions of the kitchen. 1 in 16 ft 1.25 in. w ft. (16)(1.25) = w 20 = w width is 20 ft. 1 in 16 ft .75 in. L ft. (16)(.75) = L 12 = L length is 12 ft.

Slide 9

Similar Polygons

Tags: mathematics

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