1 / 9

7.3 – Similar Figures

This guide explains the concept of similar polygons, where two polygons are considered similar if their corresponding vertices can be paired. In addition, we will explore how to determine the scale factor between similar figures by comparing the lengths of their corresponding sides. Examples are provided to demonstrate how to find missing side lengths and angle measures, as well as the relationships between angles and sides. This content is ideal for students learning about the properties of similar figures in geometry.

aaron
Download Presentation

7.3 – Similar Figures

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

Presentation Transcript

  1. 7.3 – Similar Figures Similar Polygons – Two polygons are similar if their vertices can be paired so that: 1. 2. Symbol for Similar:

  2. 7.3 – Similar Figures S Example: Y Z X T R W V Pent. TSRQP ~ Pent. ZYXWV P Q Therefore – 1. ÐP @Ð____; ÐT @Ð____; ÐS @Ð____; ÐR @Ð____; ÐQ @Ð____ 2.

  3. 7.3 – Similar Figures When two polygons are _________, then the _________ of the lengths of two corresponding sides is called the _________________.

  4. 7.3 – Similar Figures J A Example 1: DABC ~ DJKL 7 6 21 18 K L 4 C B 12 To determine the scale factor – match up the lengths of the corresponding sides. Reduce ratios. Scale factor of DABC to DJKL is __ to __. ORDER MATTERS!

  5. 7.3 – Similar Figures G 30 Example 2: H C 20 D y 10 z 8 B A E F x Quad. ______ ~ Quad. ______ 1. If mÐD = 92, then mÐH = ____. 2. If mÐC = 60, then mÐG = ____.

  6. 7.3 – Similar Figures Scale factor of ABCD to EFGH is____ to ____. Example 2 continued: G 30 C 20 H D 10 y 8 z B A x E F 21 x = _____ y = _____ z = _____

  7. Example 3 – Find the missing side lengths and angle measures. A 15 z° C 23° 5 122° x D B 6 122° y 23° E z° D____ ~ Scale Factor: = x: y: D____ F 9 _____ ____

  8. Example 4: Name all of the pairs of congruent angles. a. D____ ~ b. Find x. c. Find y. J Ð___ @Ð ___; Ð ___ @Ð ___ 9 6 12 D____ K I 15 y x H L

  9. Classwork and homework • Classwork – hand in per group page 250 1-4, 10 • Individual Worksheet • Homework page 250-251 1-22, 24-27

More Related