1 / 5

50 likes | 195 Views

BC YZ. ? XZ. =. a. B Y and m Y = 78, so m B = 78 because congruent angles have the same measure. AC XZ. BC YZ. b. Because AC corresponds to XZ ,. =. Similar Polygons. LESSON 7-2. Additional Examples. ABC ~ XYZ. Complete each statement. a. m B = ? b.

Download Presentation
## ABC ~ XYZ

**An Image/Link below is provided (as is) to download presentation**
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.
Content is provided to you AS IS for your information and personal use only.
Download presentation by click this link.
While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

**BC**YZ ? XZ = a.BY and mY = 78, so mB = 78 because congruent angles have the same measure. AC XZ BC YZ b.Because AC corresponds to XZ, . = Similar Polygons LESSON 7-2 Additional Examples ABC ~ XYZ Complete each statement. a.mB = ? b. Two polygons are similar if (1) corresponding angles are congruent and (2) corresponding sides are proportional. Quick Check**Check that the corresponding sides are proportional.**1 2 AB JK 2 4 BC KL 1 2 CD LM 2 4 DA MJ = = = = Similar Polygons LESSON 7-2 Additional Examples Determine whether the parallelograms are similar. Explain. Corresponding sides of the two parallelograms are proportional. Check that corresponding angles are congruent. B corresponds to K, but mB≠mK, so corresponding angles are not congruent. Although corresponding sides are proportional, the parallelograms are not similar because the corresponding angles are not congruent. Quick Check**Because ABC ~ YXZ, you can write and solve a**proportion. AC YZ BC XZ = Corresponding sides are proportional. x 40 12 30 = Substitute. 12 30 Solve for x. x = 40 Similar Polygons LESSON 7-2 Additional Examples If ABC ~ YXZ, find the value of x. x = 16 Quick Check**postcard width postcard length**painting width painting length Corresponding sides are proportional. = x 24 6 36 = Substitute. 6 36 Solve for x. x = 24 Similar Polygons LESSON 7-2 Additional Examples A painting is 24 in. wide by 36 in. long. The length of a postcard reduction of the painting is 6 in. How wide is the postcard? The postcard and the painting are similar rectangles, so you can write a proportion. Let x represent the width of the postcard. x = 4 The postcard is 4 in. wide. Quick Check**Let represent the longer side of the tabletop.**40 1.618 1 Write a proportion using the golden ratio. = = 64.72 Cross-Product Property Similar Polygons LESSON 7-2 Additional Examples The dimensions of a rectangular tabletop are in the golden ratio. The shorter side is 40 in. Find the longer side. The table is about 65 in. long. Quick Check

More Related