Given: KL || MN; KL @ MN L is the midpoint of JN Prove: JK || LM

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J L N M K Given: KL || MN; KL MN L is the midpoint of JN Prove: JK || LM PROOF #1

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PROOF #1. Given: KL || MN; KL @ MN L is the midpoint of JN Prove: JK || LM. K. M. J. L. N. PROOF #1 – ANSWER KEY. Given: KL || MN; KL @ MN L is the midpoint of JN Prove: JK || LM. Statements Reasons. K. M. J. L. N. PROOF #2. - PowerPoint PPT Presentation

Transcript of Given: KL || MN; KL @ MN L is the midpoint of JN Prove: JK || LM

Page 1: Given:   KL || MN; KL  @  MN             L is the midpoint of JN Prove:  JK || LM

J L N

MK

Given: KL || MN; KL MN

L is the midpoint of JN

Prove: JK || LM

PROOF #1

Page 2: Given:   KL || MN; KL  @  MN             L is the midpoint of JN Prove:  JK || LM

J L N

MKPROOF #1 – ANSWER KEY

Given: KL || MN; KL MN

L is the midpoint of JN

Prove: JK || LM

Statements Reasons

Page 3: Given:   KL || MN; KL  @  MN             L is the midpoint of JN Prove:  JK || LM

PROOF #2

Given: LF || WH; HY LY

Prove: ΔWHY ΔFLY

W

H

Y

F

L

Page 4: Given:   KL || MN; KL  @  MN             L is the midpoint of JN Prove:  JK || LM

PROOF #2 – ANSWER KEY

Statements Reasons

W

H

Y

F

L

Given: LF || WH; HY LY

Prove: ΔWHY ΔFLY

Page 5: Given:   KL || MN; KL  @  MN             L is the midpoint of JN Prove:  JK || LM

PROOF #3

Given: X and Y are right angles;

WZ bisects XZY

Prove: ΔWXZ ΔWYZ

X

Z

W

Y

Page 6: Given:   KL || MN; KL  @  MN             L is the midpoint of JN Prove:  JK || LM

PROOF #3 – ANSWER KEY

Statements Reasons

X

Z

W

Y

Given: X and Y are right angles;

WZ bisects XZY

Prove: ΔWXZ ΔWYZ

Page 7: Given:   KL || MN; KL  @  MN             L is the midpoint of JN Prove:  JK || LM

Given: B and C are right angles;

AB DC

Prove: ΔABD ΔDCA

PROOF #4

A D

B C

Page 8: Given:   KL || MN; KL  @  MN             L is the midpoint of JN Prove:  JK || LM

PROOF #4 – ANSWER KEY

Statements Reasons

Given: B and C are right angles;

AB DC

Prove: ΔABD ΔDCA A D

B C