Question

Marcus and Marlee are comparing △ ABC with right angle B with △ PQR with right angle Q to determine if they are congruent. overline AB≌ overline QR and overline AC≌ overline PR Marcus says the triangles are congruent by the HL Congruence Theorem, but Marlee does not agree. Who is correct? (Hint: Draw a picture.) (1 point) Marcus is correct; the triangles are right triangles where a leg and the hypotenuse of one triangle is congruent to a leg and hypotenuse of the other triangle. Neither is correct; the triangles are congruent by Side-Angle-Side. Marlee is correct; the triangles are not congruent because the corresponding legs are not marked as congruent. Neither is correct; the triangles are congruent by Side-Side-Angle

Answer 1

Marcus is correct. Since ∠B and ∠Q are right, AC and PR are the hypotenuses and AB and QR are legs. With hypotenuse AC ≅ PR and leg AB ≅ QR, the Hypotenuse-Leg (HL) theorem gives the triangles congruent.