Geometry Writing Assignment: Proofs on Congruent Triangles Each proof is worth 10 points Total Points: 50 Complete a two column proof for each problem. 1. Given:ADABand EACAProve: ΔABC ΔADE 2. Given:and EDCBCDECDBDCProve: ΔBCD ΔEDC 1. Side AB and AD are congruent|Given 2. Side CA and EA are congruent|Given 3. Angle CAB and DAE are congruent|Vertical Angle Theorem 4. Triangle ABC is congruent to ADE|SAS Theorem 1. Angle BCD is congruent to Angle EDC|Given 2. Angle BDC is congruent to Angle ECD|Given 3. Side CD is congruent to Side CD|Reflexive Property 4. BCD is congruent to EDC|ASA Theorem

3. Given: D is the midpoint of AC, BDABDC. Prove ΔABD ΔCBD 4. Given: SGPGand STPT. Prove: GSTGPT1. D is the midpoint of Side AC|Given