Plan for Proof: Show that △APQ≅△BPQ by the SSS Congruence Theorem. Then show that △APM≅△BPM using the SAS Congruence Theorem. Use corresponding parts of congruent triangles to show that ∠AMP and ∠BMP are right angles. STATEMENTS REASONS Response area 1. Given Response area 2. Reflexive Property of Congruence Response area 3. SSS Congruence Theorem Response area 4. Corresponding parts of congruent triangles are congruent. Response area 5. Reflexive Property of Congruence Response area 6. SAS Congruence Theorem Response area 7. Corresponding parts of congruent triangles are congruent. Response area 8. Definition of a linear pair Response area 9. Linear Pair Perpendicular Theorem Response area 10. Definition of perpendicular lines