Answered

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Given BD(line over BD) bisects ∠ABC, complete the flowchart proof below. Note that the last statement and reason have both been filled in for you.

Given BDline Over BD Bisects ABC Complete The Flowchart Proof Below Note That The Last Statement And Reason Have Both Been Filled In For You class=
Given BDline Over BD Bisects ABC Complete The Flowchart Proof Below Note That The Last Statement And Reason Have Both Been Filled In For You class=

Sagot :

In order to prove that the triangles are congruent, we can write the following statements and reasons:

First box of the first row:

Statement: BD bisects angle ABC

Reason: Given

First box of the second row:

Statement: Angle ABD congruent to angle DBC

Reason: Definition of angle bisector

Second box of the second row:

Statement: angle ADB congruent to angle BDC

Reason: Given

Third box of the second row:

Statement: Side AB congruent to side BC

Reason: Given

Since we have two pair of corresponding angles and one pair of corresponding sides congruent, the triangles are congruent by case AAS.

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