Prove: ABCD =AEFD

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.CT: Test
Problem 9CT: In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN=7.6 cm, find BC.
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I need a two side column proof with the statement and reasons.

A theorem sheet is attached.

Thank you in advance.

PARALLELOGRAM
Diagram:
Definition:
A quadrilateral in which both pairs of opposite
sides are parallel.
Properties:
In a parallelogram:
congruent
Congruent
Supplermentary
The opposite sides are
The opposite angles are
The consecutive angles are
The diagonals bisect each otther
To Prove a quadrilateral is a Parallelogram
If both pairs of opposite sides are
parallel then the quadrilateral is a
parallelogram.
If both pairs of opposite sides are
congruent, then the quadrilateral is a
parallělogram.
If one pair of opposite sides are both
parállel
the quadrilateral is a parallelogram.
If both pairs of opposite _Qng les a
congruent
quadrilateral is a parallelogram.
If the diagonals of a quadrilateral
bisect each other
the quadrilateral is a parallelogram.
and_Congruent , then
are
then the
then
Transcribed Image Text:PARALLELOGRAM Diagram: Definition: A quadrilateral in which both pairs of opposite sides are parallel. Properties: In a parallelogram: congruent Congruent Supplermentary The opposite sides are The opposite angles are The consecutive angles are The diagonals bisect each otther To Prove a quadrilateral is a Parallelogram If both pairs of opposite sides are parallel then the quadrilateral is a parallelogram. If both pairs of opposite sides are congruent, then the quadrilateral is a parallělogram. If one pair of opposite sides are both parállel the quadrilateral is a parallelogram. If both pairs of opposite _Qng les a congruent quadrilateral is a parallelogram. If the diagonals of a quadrilateral bisect each other the quadrilateral is a parallelogram. and_Congruent , then are then the then
Given: ABEF is a parallelogram.
Bis the midpoint of AC
B
Prove: ABCD =A EFD
A
F
Transcribed Image Text:Given: ABEF is a parallelogram. Bis the midpoint of AC B Prove: ABCD =A EFD A F
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