Answered: Giveh: In Quadrilateral ACDE,

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section10.2: Polygons And Quadrilaterals

Problem 11E

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A. If both pairs of opposite angles in a quadrilateral are congruent then the quadrilateral is a parallelogram. B. If one pair of opposite sides of the quadrilateral is both parallel and congruent then the quadrilateral is a parallelogram. C.If both pairs of opposite sides of a quadrilateral are parallel then the quadrilateral is a parallelogram. D.If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram.

Giveh: In Quadrilateral ACDE, <EAB<EBA, AE C Dand BC DE
Prove: BCDE is a parallelogram.
B
STATEMENTS
REASONS
1. ZEAB = Z EBA
1. Given
2. AE = BE
2. Converse of the isosceles triangle
theorem
3. BE CD
3. Substitution Property
4. BCDE is a parallelogram
4. ?
Which statement can be used to justify Step 4 in this prool?

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