McDougal Littell Jurgensen Geometry: Student Edition Geometry
McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Chapter 5.2, Problem 10WE
To determine

To prove: ABCD is a parallelogram

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information: m∠A=m∠C=x,  m∠B=m∠D=y  

Proof:

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 5.2, Problem 10WE

    Statements Reasons

    1.   m∠A=m∠C=xm∠B=m∠D=y  

    		1. Given

    2.   2x+2y=360°

    		2. angle sum property of a quadrilateral(sum of angles of a quadrilateral is equal to 360°)

    3.   x+y=180°

    		3. Divide both sides of 2x+2y=360° by 2.

    4.   AB¯∥DC¯, AD¯∥BC¯  

    		4. If a transversal intersects two lines such that each pair of interior angles on a same side of a transversal are supplementary then the lines are said to be parallel.
    5. ABCD is a parallelogram 5. A quadrilateral in which opposite sides are parallel is a parallelogram
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Chapter 5.2, Problem 9WE
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Chapter 5.2, Problem 11WE

Chapter 5 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 5.1 - Prob. 1CECh. 5.1 - Prob. 2CECh. 5.1 - Prob. 3CECh. 5.1 - Prob. 4CECh. 5.1 - Prob. 5CECh. 5.1 - Prob. 6CECh. 5.1 - Prob. 7CECh. 5.1 - Prob. 8CECh. 5.1 - Prob. 9CECh. 5.1 - Prob. 10CE
Ch. 5.1 - Prob. 11CECh. 5.1 - Prob. 12CECh. 5.1 - Prob. 13CECh. 5.1 - Prob. 14CECh. 5.1 - Prob. 15CECh. 5.1 - Prob. 16CECh. 5.1 - Prob. 17CECh. 5.1 - Prob. 18CECh. 5.1 - Prob. 1WECh. 5.1 - Prob. 2WECh. 5.1 - Prob. 3WECh. 5.1 - Prob. 4WECh. 5.1 - Prob. 5WECh. 5.1 - Prob. 6WECh. 5.1 - Prob. 7WECh. 5.1 - Prob. 8WECh. 5.1 - Prob. 9WECh. 5.1 - Prob. 10WECh. 5.1 - Prob. 11WECh. 5.1 - Prob. 12WECh. 5.1 - Prob. 13WECh. 5.1 - Prob. 14WECh. 5.1 - Prob. 15WECh. 5.1 - Prob. 16WECh. 5.1 - Prob. 17WECh. 5.1 - Prob. 18WECh. 5.1 - Prob. 19WECh. 5.1 - Prob. 20WECh. 5.1 - Prob. 21WECh. 5.1 - Prob. 22WECh. 5.1 - Prob. 23WECh. 5.1 - Prob. 24WECh. 5.1 - Prob. 25WECh. 5.1 - Prob. 26WECh. 5.1 - Prob. 27WECh. 5.1 - Prob. 28WECh. 5.1 - Prob. 29WECh. 5.1 - Prob. 30WECh. 5.1 - Prob. 31WECh. 5.1 - Prob. 32WECh. 5.1 - Prob. 33WECh. 5.1 - Prob. 34WECh. 5.1 - Prob. 35WECh. 5.1 - Prob. 36WECh. 5.1 - Prob. 37WECh. 5.1 - Prob. 38WECh. 5.1 - Prob. 39WECh. 5.2 - Prob. 1CECh. 5.2 - Prob. 2CECh. 5.2 - Prob. 3CECh. 5.2 - Prob. 4CECh. 5.2 - Prob. 5CECh. 5.2 - Prob. 6CECh. 5.2 - Prob. 7CECh. 5.2 - Prob. 8CECh. 5.2 - Prob. 9CECh. 5.2 - Prob. 10CECh. 5.2 - Prob. 11CECh. 5.2 - Prob. 12CECh. 5.2 - Prob. 13CECh. 5.2 - Prob. 1WECh. 5.2 - Prob. 2WECh. 5.2 - Prob. 3WECh. 5.2 - Prob. 4WECh. 5.2 - Prob. 5WECh. 5.2 - Prob. 6WECh. 5.2 - Prob. 7WECh. 5.2 - Prob. 8WECh. 5.2 - Prob. 9WECh. 5.2 - Prob. 10WECh. 5.2 - Prob. 11WECh. 5.2 - Prob. 12WECh. 5.2 - Prob. 13WECh. 5.2 - Prob. 14WECh. 5.2 - Prob. 15WECh. 5.2 - Prob. 16WECh. 5.2 - Prob. 17WECh. 5.2 - Prob. 18WECh. 5.2 - Prob. 19WECh. 5.2 - Prob. 20WECh. 5.2 - Prob. 21WECh. 5.2 - Prob. 22WECh. 5.2 - Prob. 23WECh. 5.2 - Prob. 24WECh. 5.2 - Prob. 25WECh. 5.3 - Prob. 1CECh. 5.3 - Prob. 2CECh. 5.3 - Prob. 3CECh. 5.3 - Prob. 4CECh. 5.3 - Prob. 5CECh. 5.3 - Prob. 6CECh. 5.3 - Prob. 7CECh. 5.3 - Prob. 8CECh. 5.3 - Prob. 9CECh. 5.3 - Prob. 1WECh. 5.3 - Prob. 2WECh. 5.3 - Prob. 3WECh. 5.3 - Prob. 4WECh. 5.3 - Prob. 5WECh. 5.3 - Prob. 6WECh. 5.3 - Prob. 7WECh. 5.3 - Prob. 8WECh. 5.3 - Prob. 9WECh. 5.3 - Prob. 10WECh. 5.3 - Prob. 11WECh. 5.3 - Prob. 12WECh. 5.3 - Prob. 13WECh. 5.3 - Prob. 14WECh. 5.3 - Prob. 15WECh. 5.3 - Prob. 16WECh. 5.3 - Prob. 17WECh. 5.3 - Prob. 18WECh. 5.3 - Prob. 19WECh. 5.3 - Prob. 20WECh. 5.3 - Prob. 21WECh. 5.3 - Prob. 22WECh. 5.3 - Prob. 23WECh. 5.3 - Prob. 24WECh. 5.3 - Prob. 25WECh. 5.3 - Prob. 1ST1Ch. 5.3 - Prob. 2ST1Ch. 5.3 - Prob. 3ST1Ch. 5.3 - Prob. 4ST1Ch. 5.3 - Prob. 5ST1Ch. 5.3 - Prob. 6ST1Ch. 5.3 - Prob. 7ST1Ch. 5.3 - Prob. 8ST1Ch. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Prob. 4ECh. 5.3 - Prob. 5ECh. 5.3 - Prob. 6ECh. 5.4 - Prob. 1CECh. 5.4 - Prob. 2CECh. 5.4 - Prob. 3CECh. 5.4 - Prob. 4CECh. 5.4 - Prob. 5CECh. 5.4 - Prob. 6CECh. 5.4 - Prob. 7CECh. 5.4 - Prob. 8CECh. 5.4 - Prob. 9CECh. 5.4 - Prob. 10CECh. 5.4 - Prob. 11CECh. 5.4 - Prob. 1WECh. 5.4 - Prob. 2WECh. 5.4 - Prob. 3WECh. 5.4 - Prob. 4WECh. 5.4 - Prob. 5WECh. 5.4 - Prob. 6WECh. 5.4 - Prob. 7WECh. 5.4 - Prob. 8WECh. 5.4 - Prob. 9WECh. 5.4 - Prob. 10WECh. 5.4 - Prob. 11WECh. 5.4 - Prob. 12WECh. 5.4 - Prob. 13WECh. 5.4 - Prob. 14WECh. 5.4 - Prob. 15WECh. 5.4 - Prob. 16WECh. 5.4 - Prob. 17WECh. 5.4 - Prob. 18WECh. 5.4 - Prob. 19WECh. 5.4 - Prob. 20WECh. 5.4 - Prob. 21WECh. 5.4 - Prob. 22WECh. 5.4 - Prob. 23WECh. 5.4 - Prob. 24WECh. 5.4 - Prob. 25WECh. 5.4 - Prob. 26WECh. 5.4 - Prob. 27WECh. 5.4 - Prob. 28WECh. 5.4 - Prob. 29WECh. 5.4 - Prob. 30WECh. 5.4 - Prob. 31WECh. 5.4 - Prob. 32WECh. 5.4 - Prob. 33WECh. 5.4 - Prob. 34WECh. 5.4 - Prob. 35WECh. 5.4 - Prob. 36WECh. 5.4 - Prob. 37WECh. 5.4 - Prob. 38WECh. 5.4 - Prob. 39WECh. 5.4 - Prob. 40WECh. 5.4 - Prob. 41WECh. 5.4 - Prob. 42WECh. 5.4 - Prob. 1MRECh. 5.4 - Prob. 2MRECh. 5.4 - Prob. 3MRECh. 5.4 - Prob. 4MRECh. 5.4 - Prob. 5MRECh. 5.4 - Prob. 6MRECh. 5.4 - Prob. 7MRECh. 5.4 - Prob. 8MRECh. 5.4 - Prob. 9MRECh. 5.5 - Prob. 1CECh. 5.5 - Prob. 2CECh. 5.5 - Prob. 3CECh. 5.5 - Prob. 4CECh. 5.5 - Prob. 5CECh. 5.5 - Prob. 6CECh. 5.5 - Prob. 7CECh. 5.5 - Prob. 8CECh. 5.5 - Prob. 9CECh. 5.5 - Prob. 10CECh. 5.5 - Prob. 11CECh. 5.5 - Prob. 1WECh. 5.5 - Prob. 2WECh. 5.5 - Prob. 3WECh. 5.5 - Prob. 4WECh. 5.5 - Prob. 5WECh. 5.5 - Prob. 6WECh. 5.5 - Prob. 7WECh. 5.5 - Prob. 8WECh. 5.5 - Prob. 9WECh. 5.5 - Prob. 10WECh. 5.5 - Prob. 11WECh. 5.5 - Prob. 12WECh. 5.5 - Prob. 13WECh. 5.5 - Prob. 14WECh. 5.5 - Prob. 15WECh. 5.5 - Prob. 16WECh. 5.5 - Prob. 17WECh. 5.5 - Prob. 18WECh. 5.5 - Prob. 19WECh. 5.5 - Prob. 20WECh. 5.5 - Prob. 21WECh. 5.5 - Prob. 22WECh. 5.5 - Prob. 23WECh. 5.5 - Prob. 24WECh. 5.5 - Prob. 25WECh. 5.5 - Prob. 26WECh. 5.5 - Prob. 27WECh. 5.5 - Prob. 28WECh. 5.5 - Prob. 29WECh. 5.5 - Prob. 30WECh. 5.5 - Prob. 31WECh. 5.5 - Prob. 32WECh. 5.5 - Prob. 33WECh. 5.5 - Prob. 34WECh. 5.5 - Prob. 35WECh. 5.5 - Prob. 36WECh. 5.5 - Prob. 1ST2Ch. 5.5 - Prob. 2ST2Ch. 5.5 - Prob. 3ST2Ch. 5.5 - Prob. 4ST2Ch. 5.5 - Prob. 5ST2Ch. 5.5 - Prob. 6ST2Ch. 5.5 - Prob. 7ST2Ch. 5.5 - Prob. 8ST2Ch. 5 - Prob. 1CRCh. 5 - Prob. 2CRCh. 5 - Prob. 3CRCh. 5 - Prob. 4CRCh. 5 - Prob. 5CRCh. 5 - Prob. 6CRCh. 5 - Prob. 7CRCh. 5 - Prob. 8CRCh. 5 - Prob. 9CRCh. 5 - Prob. 10CRCh. 5 - Prob. 11CRCh. 5 - Prob. 12CRCh. 5 - Prob. 13CRCh. 5 - Prob. 14CRCh. 5 - Prob. 15CRCh. 5 - Prob. 16CRCh. 5 - Prob. 17CRCh. 5 - Prob. 18CRCh. 5 - Prob. 19CRCh. 5 - Prob. 20CRCh. 5 - Prob. 21CRCh. 5 - Prob. 22CRCh. 5 - Prob. 1CTCh. 5 - Prob. 2CTCh. 5 - Prob. 3CTCh. 5 - Prob. 4CTCh. 5 - Prob. 5CTCh. 5 - Prob. 6CTCh. 5 - Prob. 7CTCh. 5 - Prob. 8CTCh. 5 - Prob. 9CTCh. 5 - Prob. 10CTCh. 5 - Prob. 11CTCh. 5 - Prob. 12CTCh. 5 - Prob. 13CTCh. 5 - Prob. 14CTCh. 5 - Prob. 15CTCh. 5 - Prob. 16CTCh. 5 - Prob. 17CTCh. 5 - Prob. 18CTCh. 5 - Prob. 19CTCh. 5 - Prob. 1CURCh. 5 - Prob. 2CURCh. 5 - Prob. 3CURCh. 5 - Prob. 4CURCh. 5 - Prob. 5CURCh. 5 - Prob. 6CURCh. 5 - Prob. 7CURCh. 5 - Prob. 8CURCh. 5 - Prob. 9CURCh. 5 - Prob. 10CURCh. 5 - Prob. 11CURCh. 5 - Prob. 12CURCh. 5 - Prob. 13CURCh. 5 - Prob. 14CURCh. 5 - Prob. 15CURCh. 5 - Prob. 16CURCh. 5 - Prob. 17CURCh. 5 - Prob. 18CURCh. 5 - Prob. 19CURCh. 5 - Prob. 20CURCh. 5 - Prob. 21CURCh. 5 - Prob. 22CURCh. 5 - Prob. 23CURCh. 5 - Prob. 24CURCh. 5 - Prob. 25CURCh. 5 - Prob. 26CURCh. 5 - Prob. 27CURCh. 5 - Prob. 28CURCh. 5 - Prob. 29CURCh. 5 - Prob. 30CURCh. 5 - Prob. 31CUR

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