Q

# In Fig 7.15, AB = AC and D is the mid - point of overline BC.

2.  In Fig 7.15, $AB=AC$ and D is the mid-point of $\overline{BC}.$ .

(i) State the three pairs of equal parts in $\Delta ADB$ and $\Delta ADC.$
(ii) Is $\Delta ADB\cong \Delta ADC ?$ Give reasons.
(iii) Is $\angle B = \angle C ?$ Why?

Views

Here in  $\Delta ADB$ and $\Delta ADC.$

i) Three pair of equal parts are:

BD = CD ( as d is the mid point of BC)

AB = AC (given in the question)

ii) Now,

by SSS Congruency rule,

$\Delta ADB\cong \Delta ADC$

iii) As both triangles are congruent to each other we can compare them and say

$\angle B = \angle C$.

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