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# Statement Reason - PowerPoint PPT Presentation

x is the midpoint of AB z is the midpoint of AC y is the midpoint of BC AX =BX AZ = CZ BY = CY AB = 2ZY AC = 2XY BC = 2XZ 1/2 AB = ZY 1/2 AC = XY 1/2 BC = XZ 1/2 AB = AX = XB 1/2 AC = AZ = CZ 1/2 BC = BY = CY ZY = AX = XB XY = AX = XB XY = AZ = CZ XZ = CY = BY

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## PowerPoint Slideshow about ' Statement Reason' - mirit

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Presentation Transcript

z is the midpoint of AC

y is the midpoint of BC

AX =BX

AZ = CZ

BY = CY

AB = 2ZY

AC = 2XY

BC = 2XZ

1/2 AB = ZY

1/2 AC = XY

1/2 BC = XZ

1/2 AB = AX = XB

1/2 AC = AZ = CZ

1/2 BC = BY = CY

ZY = AX = XB

XY = AX = XB

XY = AZ = CZ

XZ = CY = BY

AXZ = YXZ = XBY = ZYC

XYZ similar ABC

4 XYZ = ABC

XYZ = ABC/4

Given

Definition of a midpoint

Medial Triangle Theorem

Division Property of Equality

Definition of a midpoint

Substitution

Side Side Side Congruence

Side Side Side Similarity

Substitution

Division Property of Equality

Statement Reason