 # Select all statements that are true about the triangles. 12210203841.jpg -Triangle ABC and DCB are congruent by the Angle-Angle Triangle Congruence th defazajx 2020-11-08 Answered

Select all statements that are true about the triangles. -Triangle ABC and DCB are congruent by the Angle-Angle Triangle Congruence theorem.
-Triangle ABC and BCD are congruent by the Angle-Side-Angle Triangle Congruence theorem.
-Triangle ABC and BCD are congruent by the Side-Side-Side Triangle Congruence theorem.
-Triangle ABC and DCB are congruent by the Side-Angle-Side Triangle Congruence theorem.
-Triangle ABC and DCB are congruent by the Side-Side-Side Triangle Congruence theorem.
-There is not enough information to determine if the triangles are congruent.

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Step 1
We can see from the figure
AB=CD
AC=BD
BC=BC
So, by the SSS property of triangle.
We can say trainges ABC and DCB are congruent.
And also here $\mathrm{\angle }A=\mathrm{\angle }D$
So, by the side angle side property of triangle we can say ABC and DCB are congruent.
Step 2
Trainges ABC and DCB are congruent by the Side-Angle-Side triangle theorem.
Trainges ABC and DCB are congruent by the Side-Side-Side triangle theorem.