Prove: In the following figure, triangles ADC and BDC are congruent.&nbsp;Given AC=BC and D is a mid-point of AB.&nbsp;

(SSS) - If three sides of one triangle are equal, respectively, to three sides of a second triangle, then the triangles are congruent.&nbsp;Make the table of statement and reason for&nbsp;△ADC=△BDC.&nbsp;AC=BC (Provided)&nbsp;AD=DB (D is mid-point of AB)&nbsp;CD=CD (Reflexive property)&nbsp;△ADC=∼△BDC&nbsp;(SSS Congruence property)&nbsp;Thus,&nbsp;△ADC=∼△BDC&nbsp;by the SSS congruence property.

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High School
Geometry
High school geometry
Congruence

Harlen Pritchard

Answered question

2021-07-19

Prove: In the following figure, triangles ADC and BDC are congruent.

Given AC=BC and D is a mid-point of AB.

Answer & Explanation

Cullen

Skilled2021-07-20Added 89 answers

(SSS) - If three sides of one triangle are equal, respectively, to three sides of a second triangle, then the triangles are congruent.

Make the table of statement and reason for $△ A D C = △ B D C$ .
AC=BC (Provided)
AD=DB (D is mid-point of AB)
CD=CD (Reflexive property)
$△ A D C \tilde{=} △ B D C$ (SSS Congruence property)
Thus, $△ A D C \tilde{=} △ B D C$ by the SSS congruence property.

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