Prove triangle theorems including angle sum, isosceles base angles, midsegment theorem, and medians concurrence.
Choose the triangle theorem needed for a problem
Problem
A triangle has \(\text{two}~\text{congruent}~\text{sides}\), and a base angle is unknown. Name the theorem that directly relates the \(\text{two}~\text{base}~\text{angles}\) and is therefore the useful first step.
The efficient way to identify a theorem is to match the direction from its evidence to its conclusion. We’ll start with the marked congruent sides, identify the opposite-angle relationship as the target, and rule out options whose hypotheses require angle totals, midpoints, medians, or a centroid.
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