Which statement applies to these triangles: - these triangles must be congr

achieverh3 2021-11-18 Answered
Which statement applies to these triangles:
- these triangles must be congruent
- these triangles might be congruent
-these triangles cannot be congruent.
image

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Expert Answer

Philip O'Neill
Answered 2021-11-19 Author has 0 answers
Step 1
image
Consider \(\displaystyle\triangle{A}{D}{C}\)
and \(\displaystyle\triangle{A}{B}{C}\)
\(\displaystyle{A}{D}={A}{B}\) (Given)
\(\displaystyle{D}{C}={B}{C}\) (Given)
\(\displaystyle{A}{C}={A}{C}\) (reflexive property)
Step 2
By SSS congruency
\(\displaystyle\triangle{A}{D}{C}\stackrel{\sim}{=}\triangle{A}{B}{C}\)
\(\displaystyle\therefore\) the triangles must be congruenct.
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