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

defazajx

Answered question

2020-11-08

Choose all correct statements about triangles.
image
-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.

Answer & Explanation

Aamina Herring

Aamina Herring

Skilled2020-11-09Added 85 answers

Step 1 
From the figure we can see that
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 A=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.

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