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50 POINTS!!

What are the missing parts that correctly complete the proof?

50 POINTS!! What are the missing parts that correctly complete the proof?-example-1
User Craigb
by
6.2k points

2 Answers

6 votes
2. ∠JKM≅∠LKM
5. MK≅MK
6. Transitive Property of Congruence
7. Corresponding parts of congruent triangles are congruent.
8. Definition of Equidistant

User Bergben
by
6.4k points
6 votes

Answer:- 2. ∠JKM≅∠LKM

5. MK≅MK

6. AAS congruence postulate.

7. Corresponding parts of congruent triangles are congruent.

8. Definition of equidistant.

Therefore the complete proof will be

Proof :- 1. KM is the line bisector of ∠JKL. [Given]

2. ∠JKM≅∠LKM [Definition of bisector]

3. ∠KXM and ∠KYM are right angles [Given]

4. ∠KXM ≅ ∠KYM [All right angles are congruent]

5. MK≅MK [reflexive property of congruence]

6. ΔKXM ≅ ΔKYM [AAS congruence postulate]

7. MX≅MY [Corresponding parts of congruent triangles are congruent]

8. Point M is equidistant from the sides of ∠JKL [Definition of equidistant]

Hence proved.


User Matt DiTrolio
by
6.5k points
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