Decide whether enough information is given to prove that the triangles are congruent using the SAS Congruence Theorem.12210203322.jpg

lwfrgin 2020-12-16 Answered

Decide whether enough information is given to prove that the triangles are congruent using the SAS Congruence Theorem.
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Brittany Patton
Answered 2020-12-17 Author has 100 answers

Step 1
To make the triangle congruent by using the SAS congruence,
First naming the edges and vertex of the triangle,
image
Step 2
By using sum of interior angle property in ABCandDEF,
ABC=180(ABC+BAC)
DEF=180(EDF+DFE)
it is given that,
ACB=EDF=90 (given)...(i)
BAC=DFE(given)...(ii)
Adding equation (i) and (ii) and subtracting them form 180 in both sides,
180(ACB+BAC)=180(EDF+DFE)
ABC=DEF
Now, in ABCandDEF,
AB=EF(given)
ABC=DEF(Proved above)
BC=DE(given)
ABC=DEF (By SAS Congruence Theorem)
Yes, the provided information is enough to prove the triangle congruent by SAS.

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