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let triangle abc be an isosceles triangle where side ab is congruent to side ac. prove that the base angles (angle c and angle b) of an isosceles triangle are congruent.

Explanation:

Draw altitude AD to segment BC such that point D is on BC. This creates right triangles ADB and ADC.

Hypotenuses AB and AC are given as congruent. Leg AD in each triangle is congruent to itself by the reflexive property of congruence.

Then the triangles ADB and ADC are congruent by the HL congruence theorem.

Angles B and C are corresponding parts of congruent triangles, so are congruent by CPCTC.

answer: the answer is d