Prove in the following figure, triangles ABC and ADC are congruent.

Anish Buchanan

Anish Buchanan

Answered question

2021-07-20

To prove: In the following figure, triangles ABC and ADC are congruent.
Given:
Figure is shown below:

It is provided that BAC=DAC and BCA=DCA.

Answer & Explanation

2k1enyvp

2k1enyvp

Skilled2021-07-21Added 94 answers

Formula used:
Angle - Side - Angle (ASA) - If two angles and the included side of one triangle are equal, respectively, to two angles and the included side of a second triangle, then the triangles are congruent.
Proof:
Make the table of statement and reason for ABC=ADC.
BAC=DAC (Given)
BCA=DCA (Given)
AC=AC (Reflexive property)
ABC=ADC (ASA Congruence property)
Thus, the ABC=ADC by the ASA congruence property.

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