kaitlynnhattabaugh kaitlynnhattabaugh

19-10-2021
Mathematics

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Given that ∠ADC≅∠BCD, AC⊥CD and BD⊥CD, which of the following proves that △ACD≅△BDC?

Given that ADCBCD ACCD and BDCD which of the following proves that ACDBDC class=

Given that ADCBCD ACCD and BDCD which of the following proves that ACDBDC class=

Given that ADCBCD ACCD and BDCD which of the following proves that ACDBDC class=

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armyforever0327 armyforever0327

26-10-2021

Answer:

1. ∠ADC≅∠BCD (Given)

2. AC¯¯¯¯¯⊥CD¯¯¯¯¯; BD¯¯¯¯¯⊥CD¯¯¯¯¯ (Given

)3. ∠ACD and ∠BDC are right angles(Def. of ⊥)

4. ∠ACD≅∠BDC (Rt. ∠≅Thm.)

5. CD¯¯¯¯¯≅CD¯¯¯¯¯ (Reflex. Prop. of ≅)

6. △ACD≅△BCD (ASA Steps 1, 5, 4)

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