Download presentation

Presentation is loading. Please wait.

1
EXAMPLE 2 Find the scale factor Determine whether the polygons are similar. If they are, write a similarity statement and find the scale factor of ZYXW to FGHJ.

2
EXAMPLE 2 Find the scale factor SOLUTION STEP 1 Identify pairs of congruent angles. From the diagram, you can see that Z F, Y G, and X H. Angles W and J are right angles, so W J. So, the corresponding angles are congruent.

3
EXAMPLE 2 Find the scale factor SOLUTION STEP 2 Show that corresponding side lengths are proportional. ZY FG 25 20 = 5 4 = YX GH 30 24 = 5 4 = XW HJ 15 12 = = 5 4 WZ JF 20 16 = = 5 4

4
EXAMPLE 2 Find the scale factor SOLUTION The ratios are equal, so the corresponding side lengths are proportional. So ZYXW ~ FGHJ. The scale factor of ZYXW to FGHJ is ANSWER 5 4 .

5
EXAMPLE 3 Use similar polygons In the diagram, ∆DEF ~ ∆MNP. Find the value of x. ALGEBRA

6
**EXAMPLE 3 Use similar polygons SOLUTION**

The triangles are similar, so the corresponding side lengths are proportional. MN DE NP EF = Write proportion. = 12 9 20 x Substitute. 12x = 180 Cross Products Property x = 15 Solve for x.

7
GUIDED PRACTICE for Examples 2 and 3 In the diagram, ABCD ~ QRST. 2. What is the scale factor of QRST to ABCD ? 1 2 ANSWER Find the value of x. ANSWER 8

Similar presentations

OK

Similar Triangles Today’s objectives l Understand how the definition of similar polygons applies to triangles. l Recognize similar triangles. l Use the.

Similar Triangles Today’s objectives l Understand how the definition of similar polygons applies to triangles. l Recognize similar triangles. l Use the.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on indian army weapons systems Download ppt on turbo generator for cars Ppt on ready to serve beverages in spanish Ppt on thermal power plant Hrm ppt on recruitment matters Ppt on depth first search java Ppt on regional trade agreements advantages Ppt on art and craft movement designs Ppt on media revolution software Ppt on dairy milk silk