Given: K is the midpoint of JL, M is the midpoint of LN, JK = MN
Prove:
KL
≅
LM

Given that JK = MN, JK = KL, and LM = MN, therefore, by transitive property, we have;

KL ≅ LM

Step-by-step explanation:

The given information are;

The midpoint of the segment JL = The point K

The midpoint of the segment LN = The point M

Given that JK = MN

The two column proof is given as follows;

Statement               Reason

1) JK = KL                 Definition of the midpoint of segment JL

2) LM = MN              Definition of the midpoint of a segment LN

3) JK = MN              Given

4) KL ≅ LM              Transitive property.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

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step-by-step explanation: