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Mathematics, 14.07.2019 03:00, jaeybird9
What is the missing statement in the proof? scroll down to see the entire proof. ∠bdc≅∠adb ∠bca≅∠dcb ∠bac≅∠bad ∠dbc≅∠bac done given: δabc with m∠abc = 90° (view diagram) prove: ab2 + bc2 = ac2 statement reason 1. draw bd¯¯¯¯¯⊥ac¯¯¯¯¯ (view diagram). construction 2. ∠abc≅∠bdc angles with the same measure are congruent. 3. reflexive property of congruence 4. δabc~δbdc aa criterion for similarity 5. bcdc=acbc corresponding sides of similar triangles are proportional. 6. bc2 = ac × dc cross multiplication 7. ∠abc≅∠adb angles with the same measure are congruent. 8. ∠bac≅∠dab reflexive property of congruence 9. δabc~δadb aa criterion for similarity 10.abad=acab corresponding sides of similar triangles are proportional. 11. ab2 = ac × ad cross multiplication 12. ab2 + bc2 = ac × ad + ac × dc addition 13. ab2 + bc2 = ac(ad + dc)
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What is the missing statement in the proof? scroll down to see the entire proof. ∠bdc≅∠adb ∠bca≅∠dc...
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