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Answer:
∆KAF, by rule LA
Step-by-step explanation:
The angle bisector divides angle FAP into two equal angles KAF and KAP. The two right triangles share side KA, so we have a leg KA and an angle KAF, KAP that are the same in the two triangles. That is enough to invoke rule LA (leg, angle) to claim congruence.
∆KAP ≅ ∆KAF by rule LA
