1 / 13

8.3 Similar Polygons

8.3 Similar Polygons. Two polygons are similar if:. Their corresponding angles are congruent. Their corresponding sides are proportional. *The symbol ~ is used for similarity. . Ex. 1: JKLMN ~ STUVW. List the congruent angles. J  S K  T L  U  M  V N  W.

ghita
Download Presentation

8.3 Similar Polygons

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. 8.3 Similar Polygons

  2. Two polygons are similar if: • Their corresponding angles are congruent. • Their corresponding sides are proportional. *The symbol ~ is used for similarity.

  3. Ex. 1: JKLMN ~ STUVW List the congruent angles. J  SK  TL  U M  VN  W Write a proportionality statement. JK KL LM MN NJ = = = = ST TU UV VW WS

  4. Ex. 2: • Decide whether the figures are similar. If they are similar, write a similarity statement.

  5. SOLUTION: As shown, the corresponding angles of WXYZ and PQRS are congruent. We need to find out if the sides are proportional. WX 15 3 = = PQ 10 2 YZ 9 3 XY 6 3 = = = = RS 6 2 QR 4 2 WZ 12 3 = = PS 8 2 So, the two figures are similar. Similarity Statement: WXYZ ~ PQRS

  6. Ex. 3: Note: 4/3 is called the scale factor.

  7. Ex. 4: The ratios are not all the same. Therefore, the triangles are NOT similar.

  8. Ex. 5: Are these two polygons similar? No, the corresponding angles are not all congruent.

  9. Ex 6:

  10. Perimeter of ABCD 8 + 11 + 16 + 11 = 46 Perimeter of GHIJ 5.5 + 8 + 5.5 + 4 = 23 46 23 = 2 1

  11. Ex. 7:

  12. Ex. 8: • JKLM ~ PQRS.Find the value of z. PQ QR = JK KL z 6 = 10 15 15z = 60 z = 4

More Related