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4.4

4.4. What Other Information Is Needed? Pg. 16 Longer Flowcharts. 4.5 –What Other Information Is Needed? L onger flowcharts.

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4.4

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  1. 4.4 What Other Information Is Needed? Pg. 16 Longer Flowcharts

  2. 4.5–What Other Information Is Needed? Longer flowcharts In the last lesson, you learned that you can make a flowchart to show that triangles are similar. However, sometimes you need to use given information to determine if triangles are congruent. Look for the given facts that help prove triangles are similar.

  3. 4.29 – EXTRA INFORMATION NEEDED   a. Examine the picture. What are you given in this picture of the triangles?

  4. b. Write a flowchart proof to show the triangles are similar. Be sure to include the given information Given Corresponding Angles Reflexive ΔSTR ~ ΔSUQ AA~

  5. 4.30 – MORE WORK NEEDED a. Can you use AA~ or SSS~ to show the triangles are similar? Why? SSS~ Pyth. thm

  6. x2 + 162 = 202 x2 + 256 = 400 x2 = 144 x = 12 12 Given Given Given Pyth. Thm ΔHIG ~ ΔLKJ SSS~

  7. 4.31 – HIDDEN FACTS a. Can you use AA~ or SSS~ to show the triangles are similar? Why? AA~ Vertical angles

  8. Vertical angles Given ΔSTR ~ ΔPQR AA~

  9. 4.32 – HIDDEN FACTS a. Can you use AA~ or SSS~ to show the triangles are similar? Why? AA~ Supplementary angles Triangle sum

  10. 28° Supp. angles Δ sum ΔABE ~ ΔDBC AA~

  11. 4.33 – TWO HIDDEN FACTS a. Can you use AA~ or SSS~ to show the triangles are similar? Why? AA~ Vertical angles Alternate Interior

  12. given Alternate interior Vertical angles ΔXYW ~ ΔZYV AA~

  13. 4.34 –ALL SIDES ARE EQUAL What is the side that is not marked in both triangles?

  14. b. Can you use AA~ or SSS~ to show the triangles are similar? Why? SSS~

  15. Given Reflexive Given ΔGHI ~ ΔJHI SSS~

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