Question

3 finish the triangle proof by dragging the correct reasons to their box. there will be two extra unused reasons! given: ( jkcong lk ), ( km ) bisects ( angle jkl ) prove: ( angle kjmcongangle klm ) definition of midpoint definition of bisect reflexive property cpctc given sas given

Explanation:

Step1: Reason for \(JK\cong LK\)

Given

Step2: Reason for \(KM\) bisects \(\angle JKL\)

Given

Step3: Reason for \(\angle JKM\cong\angle LKM\)

Definition of Bisect

Step4: Reason for \(MK\cong MK\)

Reflexive Property

Step5: Reason for \(\triangle JKM\cong\triangle LKM\)

SAS (Side - Angle - Side: \(JK = LK\), \(\angle JKM=\angle LKM\), \(MK = MK\))

Step6: Reason for \(\angle KJM\cong\angle KLM\)

CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

Answer:

1. Given
2. Given
3. Definition of Bisect
4. Reflexive Property
5. SAS
6. CPCTC