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Congruence — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsCongruence2 Marks
Question
In Figure, AB = DC and BC = AD.
  1. Is $\triangle\text{ABC}\cong\triangle\text{CBD}?$
  2. What congruence condition have you used?
  3. You have used some fact, not given in the question, what is that?
✓

Answer

We have AB = DC
BC = AD
And AC = AC
  1. Yes by SSS $\triangle\text{ABC}\cong\triangle\text{CBD}$
  2. We have used Side congruence condition with one side common in both the triangles.
  3. Yes, have used the fact that AC = CA.

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