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7.3 – Similar Figures

7.3 – Similar Figures. Similar Polygons – Two polygons are similar if their vertices can be paired so that: 1. 2. Symbol for Similar:. 7.3 – Similar Figures. S. Example:. Y. Z. X. T. R. W. V. Pent. TSRQP ~ Pent. ZYXWV. P. Q. Therefore –

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7.3 – Similar Figures

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  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

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