Q. 1444.4( 16 Votes )

# ABC is an isosceles triangle with AB = AC and D is the mid-point of base BC (Fig. 6.48).

A. State three pairs of equal parts in the triangles ABD and ACD.

B. Is ∆ABD ≅ ∆ACD. If so why?

Answer :

Given: AB = AC; D is midpoint of BC

As D is midpoint of BC

BD = DC

In Δ ADB and Δ ADC

AB = AC (given)

BD = DC (D is midpoint of BC)

AD = AD (common)

⇒ these are all 3 equal parts of triangles ABD and ACD

⇒ yes ∆ABD ≅ ∆ACD

Because it follows SSS congruence criterion

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A. State three pairs of equal parts in the triangles ABD and ACD.

B. Is ∆ABD ≅ ∆ACD. If so why?

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