Choose the paragraph proof that correctly completes the two-column proof. Given: M is the midpoint of . Prove: Statement Reason Given ? Definition of Midpoint ? ? ? (1 point) Responses It is given that . Because M is the midpoint of , we know that . Knowing the Reflexive Property of Congruence, we can state that . Therefore, we can state that by the SSS Angle Theorem. It is given that Image with alt text: segment KJ is congruent to segment LJ . Because M is the midpoint of Image with alt text: segment KM , we know that Image with alt text: segment KM is congruent to segment LM . Knowing the Reflexive Property of Congruence, we can state that Image with alt text: segment MJ is congruent to segment MJ . Therefore, we can state that Image with alt text: triangle JKM is congruent to triangle JLM by the SSS Angle Theorem. It is given that . Because M is the midpoint of , we know that . Knowing the Reflexive Property of Congruence, we can state that . Therefore, we can state that by the SSS Angle Theorem. It is given that Image with alt text: segment KJ is congruent to segment LJ . Because M is the midpoint of Image with alt text: segment KM , we know that Image with alt text: angle JMK is congruent to angle JML . Knowing the Reflexing Property of Congruence, we can state that Image with alt text: segment MJ is congruent to segment MJ . Therefore, we can state that Image with alt text: triangle JKM is congruent to triangle JLM by the SSS Angle Theorem. It is given that . Because M is the midpoint of , we know that . Knowing the Reflexing Property of Congruence, we can state that . Therefore, we can state that by the SAS Angle Theorem. It is given that Image with alt text: segment KJ is congruent to segment LJ . Because M is the midpoint of Image with alt text: segment KM , we know that Image with alt text: segment KM is congruent to segment LM . Knowing the Reflexing Property of Congruence, we can state that Image with alt text: segment MJ is congruent to segment MJ . Therefore, we can state that Image with alt text: triangle JKM is congruent to triangle JLM by the SAS Angle Theorem. It is given that . Because M is the midpoint of , we know that . Knowing the Reflexing Property of Congruence, we can state that . Therefore, we can state that by the SAS Angle Theorem.

Answer 1

It is given that Image with alt text: segment KJ is congruent to segment LJ . Because M is the midpoint of Image with alt text: segment KM , we know that Image with alt text: segment KM is congruent to segment LM . Knowing the Reflexing Property of Congruence, we can state that Image with alt text: segment MJ is congruent to segment MJ . Therefore, we can state that Image with alt text: triangle JKM is congruent to triangle JLM by the SAS Angle Theorem.