Question

Given AC‾⊥BD‾AC ⊥ BD , complete the flowchart proof below. Note that the last statement and reason have both been filled in for you.

Answer 1

$AC\perp BD$

Reason: Given

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$\angle BDC_{\text{ }}and_{\text{ }}\angle BDA_{\text{ }}are_{\text{ }}right_{\text{ }}angles$

Reason: Perpendicular lines form right angles.

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$\angle BDC\cong\angle BDA$

Reason: All right angles are congruent.

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$CD\cong AD$

Reason: Given

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$BC\cong BA$

Reason: Given

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$\begin{gathered} \Delta ABD\cong CBD \\ \end{gathered}$

Reason: HL