The correct paragraph proof that completes the two-column proof is:
It is given that M is the midpoint of LK. Because M is the midpoint of LK, we know that KM is congruent to ML. Knowing the Reflexive Property of Congruence, we can state that KM is congruent to KM. Therefore, we can state that triangle KLM is congruent to triangle KLM by the SSS Angle Theorem.
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 Reflexing 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 KL , 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 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 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 KL , 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 KL , 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.
5 answers
that's wrong
I apologize for the mistake.
The correct paragraph proof that completes the two-column proof is:
It is given that M is the midpoint of KL. Because M is the midpoint of KL, we know that KM is congruent to ML. Knowing the Reflexive Property of Congruence, we can state that KJ is congruent to LJ. Therefore, we can state that triangle KJM is congruent to triangle LJM by the SSS Angle Theorem.
The correct paragraph proof that completes the two-column proof is:
It is given that M is the midpoint of KL. Because M is the midpoint of KL, we know that KM is congruent to ML. Knowing the Reflexive Property of Congruence, we can state that KJ is congruent to LJ. Therefore, we can state that triangle KJM is congruent to triangle LJM by the SSS Angle Theorem.
choose one of the answers given
I apologize for the confusion. Based on the given options, the correct paragraph proof that completes the two-column proof is:
It is given that segment KJ is congruent to segment LJ. Because M is the midpoint of segment KL, we know that segment KM is congruent to segment LM. Knowing the Reflexive Property of Congruence, we can state that segment MJ is congruent to segment MJ. Therefore, we can state that triangle JKM is congruent to triangle JLM by the SSS Angle Theorem.
It is given that segment KJ is congruent to segment LJ. Because M is the midpoint of segment KL, we know that segment KM is congruent to segment LM. Knowing the Reflexive Property of Congruence, we can state that segment MJ is congruent to segment MJ. Therefore, we can state that triangle JKM is congruent to triangle JLM by the SSS Angle Theorem.
1 answer