Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 14.1, Problem 4OE
To determine

To explain: Whether the statement “A parallelogram ABCD have the sides 2XB=DB .” is true or false.

  Algebra and Trigonometry: Structure and Method, Book 2, Chapter 14.1, Problem 4OE

Expert Solution & Answer
Check Mark

Answer to Problem 4OE

The statement “A parallelogram ABCD have the sides 2XB=DB .” is true.

Explanation of Solution

Given information:

The statement “A parallelogram ABCD have the sides 2XB=DB .”

Consider the provided statement “A parallelogram ABCD have the sides 2XB=DB .”

Parallelogram has a property that opposite sides of a parallelogram are parallel to each other.

Parallelogram has four sides and four angles, sometimes sides and angles are equal and sometimes they may different.

Each diagonal bisects each other and each diagonal divides the quadrilateral into two equal congruent triangles.

Thus the 2XB=DB ,

Here,

  2XB=DBXB=DX

The two vectors are of the same length and face the same direction.

  2XB=DX+XB

Substitute 2XB forDB .

So the equation by adding the vectors:

  2XB=DB

The diagonals are equal and bisects each other, so these are equal but in case of vector,

The two vectors are going in two directions not in same direction.

So the given expression 2XB=DB is true.

Thus, the statement “A parallelogram ABCD have the sides 2XB=DB .” is true.

Chapter 14 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 14.1 - Prob. 11OECh. 14.1 - Prob. 12OECh. 14.1 - Prob. 13OECh. 14.1 - Prob. 14OECh. 14.1 - Prob. 15OECh. 14.1 - Prob. 16OECh. 14.1 - Prob. 1WECh. 14.1 - Prob. 2WECh. 14.1 - Prob. 3WECh. 14.1 - Prob. 4WECh. 14.1 - Prob. 5WECh. 14.1 - Prob. 6WECh. 14.1 - Prob. 7WECh. 14.1 - Prob. 8WECh. 14.1 - Prob. 9WECh. 14.1 - Prob. 10WECh. 14.1 - Prob. 11WECh. 14.1 - Prob. 12WECh. 14.1 - Prob. 13WECh. 14.1 - Prob. 14WECh. 14.1 - Prob. 15WECh. 14.1 - Prob. 16WECh. 14.1 - Prob. 17WECh. 14.1 - Prob. 18WECh. 14.1 - Prob. 19WECh. 14.1 - Prob. 20WECh. 14.1 - Prob. 21WECh. 14.1 - Prob. 22WECh. 14.1 - Prob. 1PCh. 14.1 - Prob. 2PCh. 14.1 - Prob. 3PCh. 14.1 - Prob. 4PCh. 14.1 - Prob. 5PCh. 14.1 - Prob. 6PCh. 14.1 - Prob. 7PCh. 14.1 - Prob. 8PCh. 14.1 - Prob. 9PCh. 14.1 - Prob. 1MRECh. 14.1 - Prob. 2MRECh. 14.1 - Prob. 3MRECh. 14.1 - Prob. 4MRECh. 14.1 - Prob. 5MRECh. 14.1 - Prob. 6MRECh. 14.1 - Prob. 7MRECh. 14.1 - Prob. 8MRECh. 14.1 - Prob. 9MRECh. 14.2 - Prob. 1OECh. 14.2 - Prob. 2OECh. 14.2 - Prob. 3OECh. 14.2 - Prob. 4OECh. 14.2 - Prob. 5OECh. 14.2 - Prob. 6OECh. 14.2 - Prob. 7OECh. 14.2 - Prob. 8OECh. 14.2 - Prob. 9OECh. 14.2 - Prob. 10OECh. 14.2 - Prob. 11OECh. 14.2 - Prob. 12OECh. 14.2 - Prob. 1WECh. 14.2 - Prob. 2WECh. 14.2 - Prob. 3WECh. 14.2 - Prob. 4WECh. 14.2 - Prob. 5WECh. 14.2 - Prob. 6WECh. 14.2 - Prob. 7WECh. 14.2 - Prob. 8WECh. 14.2 - Prob. 9WECh. 14.2 - Prob. 10WECh. 14.2 - Prob. 11WECh. 14.2 - Prob. 12WECh. 14.2 - Prob. 13WECh. 14.2 - Prob. 14WECh. 14.2 - Prob. 15WECh. 14.2 - Prob. 16WECh. 14.2 - Prob. 17WECh. 14.2 - Prob. 18WECh. 14.2 - Prob. 19WECh. 14.2 - Prob. 20WECh. 14.2 - Prob. 21WECh. 14.2 - Prob. 22WECh. 14.2 - Prob. 23WECh. 14.2 - Prob. 24WECh. 14.2 - Prob. 25WECh. 14.2 - Prob. 26WECh. 14.2 - Prob. 27WECh. 14.2 - Prob. 28WECh. 14.2 - Prob. 29WECh. 14.2 - Prob. 30WECh. 14.2 - Prob. 31WECh. 14.2 - Prob. 32WECh. 14.2 - Prob. 1CECh. 14.2 - Prob. 2CECh. 14.2 - Prob. 3CECh. 14.2 - Prob. 4CECh. 14.2 - Prob. 1STCh. 14.2 - Prob. 2STCh. 14.2 - Prob. 3STCh. 14.2 - Prob. 4STCh. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - Prob. 4ECh. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.3 - Prob. 1OECh. 14.3 - Prob. 2OECh. 14.3 - Prob. 3OECh. 14.3 - Prob. 4OECh. 14.3 - Prob. 5OECh. 14.3 - Prob. 6OECh. 14.3 - Prob. 7OECh. 14.3 - Prob. 8OECh. 14.3 - Prob. 9OECh. 14.3 - Prob. 10OECh. 14.3 - Prob. 11OECh. 14.3 - Prob. 12OECh. 14.3 - Prob. 1WECh. 14.3 - Prob. 2WECh. 14.3 - Prob. 3WECh. 14.3 - Prob. 4WECh. 14.3 - Prob. 5WECh. 14.3 - Prob. 6WECh. 14.3 - Prob. 7WECh. 14.3 - Prob. 8WECh. 14.3 - Prob. 9WECh. 14.3 - Prob. 10WECh. 14.3 - Prob. 11WECh. 14.3 - Prob. 12WECh. 14.3 - Prob. 13WECh. 14.3 - Prob. 14WECh. 14.3 - Prob. 15WECh. 14.3 - Prob. 16WECh. 14.3 - Prob. 17WECh. 14.3 - Prob. 18WECh. 14.3 - Prob. 19WECh. 14.3 - Prob. 20WECh. 14.3 - Prob. 21WECh. 14.3 - Prob. 22WECh. 14.3 - Prob. 23WECh. 14.3 - Prob. 24WECh. 14.3 - Prob. 25WECh. 14.3 - Prob. 26WECh. 14.3 - Prob. 27WECh. 14.3 - Prob. 28WECh. 14.3 - Prob. 29WECh. 14.3 - Prob. 30WECh. 14.3 - Prob. 31WECh. 14.3 - Prob. 32WECh. 14.3 - Prob. 33WECh. 14.3 - Prob. 34WECh. 14.3 - Prob. 35WECh. 14.3 - Prob. 36WECh. 14.3 - Prob. 1MRECh. 14.3 - Prob. 2MRECh. 14.3 - Prob. 3MRECh. 14.3 - Prob. 4MRECh. 14.3 - Prob. 5MRECh. 14.3 - Prob. 6MRECh. 14.3 - Prob. 7MRECh. 14.3 - Prob. 8MRECh. 14.3 - Prob. 9MRECh. 14.3 - Prob. 10MRECh. 14.4 - Prob. 1OECh. 14.4 - Prob. 2OECh. 14.4 - Prob. 3OECh. 14.4 - Prob. 4OECh. 14.4 - Prob. 5OECh. 14.4 - Prob. 6OECh. 14.4 - Prob. 7OECh. 14.4 - Prob. 8OECh. 14.4 - Prob. 9OECh. 14.4 - Prob. 10OECh. 14.4 - Prob. 11OECh. 14.4 - Prob. 12OECh. 14.4 - Prob. 1WECh. 14.4 - Prob. 2WECh. 14.4 - Prob. 3WECh. 14.4 - Prob. 4WECh. 14.4 - Prob. 5WECh. 14.4 - Prob. 6WECh. 14.4 - Prob. 7WECh. 14.4 - Prob. 8WECh. 14.4 - Prob. 9WECh. 14.4 - Prob. 10WECh. 14.4 - Prob. 11WECh. 14.4 - Prob. 12WECh. 14.4 - Prob. 13WECh. 14.4 - Prob. 14WECh. 14.4 - Prob. 15WECh. 14.4 - Prob. 16WECh. 14.4 - Prob. 17WECh. 14.4 - Prob. 18WECh. 14.4 - Prob. 19WECh. 14.4 - Prob. 20WECh. 14.4 - Prob. 21WECh. 14.4 - Prob. 22WECh. 14.4 - Prob. 23WECh. 14.4 - Prob. 24WECh. 14.4 - Prob. 25WECh. 14.4 - Prob. 26WECh. 14.4 - Prob. 27WECh. 14.4 - Prob. 28WECh. 14.4 - Prob. 29WECh. 14.4 - Prob. 30WECh. 14.4 - Prob. 31WECh. 14.4 - Prob. 32WECh. 14.4 - Prob. 33WECh. 14.4 - Prob. 34WECh. 14.4 - Prob. 35WECh. 14.4 - Prob. 36WECh. 14.4 - Prob. 37WECh. 14.5 - Prob. 1OECh. 14.5 - Prob. 2OECh. 14.5 - Prob. 3OECh. 14.5 - Prob. 1WECh. 14.5 - Prob. 2WECh. 14.5 - Prob. 3WECh. 14.5 - Prob. 4WECh. 14.5 - Prob. 5WECh. 14.5 - Prob. 6WECh. 14.5 - Prob. 7WECh. 14.5 - Prob. 8WECh. 14.5 - Prob. 9WECh. 14.5 - Prob. 10WECh. 14.5 - Prob. 11WECh. 14.5 - Prob. 12WECh. 14.5 - Prob. 13WECh. 14.5 - Prob. 14WECh. 14.5 - Prob. 15WECh. 14.5 - Prob. 16WECh. 14.5 - Prob. 17WECh. 14.5 - Prob. 18WECh. 14.5 - Prob. 19WECh. 14.5 - Prob. 20WECh. 14.5 - Prob. 21WECh. 14.5 - Prob. 22WECh. 14.5 - Prob. 23WECh. 14.5 - Prob. 1MRECh. 14.5 - Prob. 2MRECh. 14.5 - Prob. 3MRECh. 14.5 - Prob. 4MRECh. 14.5 - Prob. 5MRECh. 14.5 - Prob. 6MRECh. 14.5 - Prob. 7MRECh. 14.5 - Prob. 1STCh. 14.5 - Prob. 2STCh. 14.5 - Prob. 3STCh. 14.5 - Prob. 4STCh. 14.5 - Prob. 5STCh. 14.5 - Prob. 6STCh. 14.6 - Prob. 1OECh. 14.6 - Prob. 2OECh. 14.6 - Prob. 3OECh. 14.6 - Prob. 4OECh. 14.6 - Prob. 5OECh. 14.6 - Prob. 6OECh. 14.6 - Prob. 7OECh. 14.6 - Prob. 8OECh. 14.6 - Prob. 1WECh. 14.6 - Prob. 2WECh. 14.6 - Prob. 3WECh. 14.6 - Prob. 4WECh. 14.6 - Prob. 5WECh. 14.6 - Prob. 6WECh. 14.6 - Prob. 7WECh. 14.6 - Prob. 8WECh. 14.6 - Prob. 9WECh. 14.6 - Prob. 10WECh. 14.6 - Prob. 11WECh. 14.6 - Prob. 12WECh. 14.6 - Prob. 13WECh. 14.6 - Prob. 14WECh. 14.6 - Prob. 15WECh. 14.6 - Prob. 16WECh. 14.6 - Prob. 17WECh. 14.6 - Prob. 18WECh. 14.6 - Prob. 19WECh. 14.6 - Prob. 20WECh. 14.6 - Prob. 21WECh. 14.6 - Prob. 22WECh. 14.6 - Prob. 23WECh. 14.6 - Prob. 24WECh. 14.6 - Prob. 25WECh. 14.7 - Prob. 1OECh. 14.7 - Prob. 2OECh. 14.7 - Prob. 3OECh. 14.7 - Prob. 4OECh. 14.7 - Prob. 5OECh. 14.7 - Prob. 6OECh. 14.7 - Prob. 7OECh. 14.7 - Prob. 8OECh. 14.7 - Prob. 1WECh. 14.7 - Prob. 2WECh. 14.7 - Prob. 3WECh. 14.7 - Prob. 4WECh. 14.7 - Prob. 5WECh. 14.7 - Prob. 6WECh. 14.7 - Prob. 7WECh. 14.7 - Prob. 8WECh. 14.7 - Prob. 9WECh. 14.7 - Prob. 10WECh. 14.7 - Prob. 11WECh. 14.7 - Prob. 12WECh. 14.7 - Prob. 13WECh. 14.7 - Prob. 14WECh. 14.7 - Prob. 15WECh. 14.7 - Prob. 16WECh. 14.7 - Prob. 17WECh. 14.7 - Prob. 18WECh. 14.7 - Prob. 19WECh. 14.7 - Prob. 20WECh. 14.7 - Prob. 21WECh. 14.7 - Prob. 22WECh. 14.7 - Prob. 23WECh. 14.7 - Prob. 24WECh. 14.7 - Prob. 25WECh. 14.7 - Prob. 26WECh. 14.7 - Prob. 27WECh. 14.7 - Prob. 28WECh. 14.7 - Prob. 29WECh. 14.7 - Prob. 1MRECh. 14.7 - Prob. 2MRECh. 14.7 - Prob. 3MRECh. 14.7 - Prob. 4MRECh. 14.7 - Prob. 5MRECh. 14.7 - Prob. 6MRECh. 14.7 - Prob. 7MRECh. 14.7 - Prob. 8MRECh. 14.8 - Prob. 1OECh. 14.8 - Prob. 2OECh. 14.8 - Prob. 3OECh. 14.8 - Prob. 4OECh. 14.8 - Prob. 5OECh. 14.8 - Prob. 6OECh. 14.8 - Prob. 7OECh. 14.8 - Prob. 8OECh. 14.8 - Prob. 9OECh. 14.8 - Prob. 10OECh. 14.8 - Prob. 11OECh. 14.8 - Prob. 12OECh. 14.8 - Prob. 13OECh. 14.8 - Prob. 14OECh. 14.8 - Prob. 15OECh. 14.8 - Prob. 16OECh. 14.8 - Prob. 1WECh. 14.8 - Prob. 2WECh. 14.8 - Prob. 3WECh. 14.8 - Prob. 4WECh. 14.8 - Prob. 5WECh. 14.8 - Prob. 6WECh. 14.8 - Prob. 7WECh. 14.8 - Prob. 8WECh. 14.8 - Prob. 9WECh. 14.8 - Prob. 10WECh. 14.8 - Prob. 11WECh. 14.8 - Prob. 12WECh. 14.8 - Prob. 13WECh. 14.8 - Prob. 14WECh. 14.8 - Prob. 15WECh. 14.8 - Prob. 16WECh. 14.8 - Prob. 17WECh. 14.8 - Prob. 18WECh. 14.8 - Prob. 19WECh. 14.8 - Prob. 20WECh. 14.8 - Prob. 21WECh. 14.8 - Prob. 22WECh. 14.8 - Prob. 23WECh. 14.8 - Prob. 24WECh. 14.8 - Prob. 25WECh. 14.8 - Prob. 26WECh. 14.8 - Prob. 27WECh. 14.8 - Prob. 28WECh. 14.8 - Prob. 29WECh. 14.8 - Prob. 30WECh. 14.8 - Prob. 31WECh. 14.8 - Prob. 32WECh. 14.8 - Prob. 33WECh. 14.8 - Prob. 34WECh. 14.8 - Prob. 35WECh. 14.8 - Prob. 36WECh. 14.8 - Prob. 37WECh. 14.8 - Prob. 38WECh. 14.8 - Prob. 39WECh. 14.8 - Prob. 40WECh. 14.8 - Prob. 41WECh. 14.8 - Prob. 42WECh. 14.8 - Prob. 43WECh. 14.8 - Prob. 44WECh. 14.8 - Prob. 45WECh. 14.8 - Prob. 46WECh. 14.8 - Prob. 1STCh. 14.8 - Prob. 2STCh. 14.8 - Prob. 3STCh. 14.8 - Prob. 4STCh. 14.8 - Prob. 5STCh. 14.8 - Prob. 6STCh. 14.8 - Prob. 7STCh. 14.8 - Prob. 8STCh. 14.8 - Prob. 9STCh. 14.8 - Prob. 1ECh. 14.8 - Prob. 2ECh. 14.8 - Prob. 3ECh. 14 - Prob. 1CRCh. 14 - Prob. 2CRCh. 14 - Prob. 3CRCh. 14 - Prob. 4CRCh. 14 - Prob. 5CRCh. 14 - Prob. 6CRCh. 14 - Prob. 7CRCh. 14 - Prob. 8CRCh. 14 - Prob. 9CRCh. 14 - Prob. 10CRCh. 14 - Prob. 11CRCh. 14 - Prob. 12CRCh. 14 - Prob. 13CRCh. 14 - Prob. 14CRCh. 14 - Prob. 15CRCh. 14 - Prob. 16CRCh. 14 - Prob. 1CTCh. 14 - Prob. 2CTCh. 14 - Prob. 3CTCh. 14 - Prob. 4CTCh. 14 - Prob. 5CTCh. 14 - Prob. 6CTCh. 14 - Prob. 7CTCh. 14 - Prob. 8CTCh. 14 - Prob. 9CTCh. 14 - Prob. 10CTCh. 14 - Prob. 1MPSCh. 14 - Prob. 2MPSCh. 14 - Prob. 3MPSCh. 14 - Prob. 4MPSCh. 14 - Prob. 5MPSCh. 14 - Prob. 6MPSCh. 14 - Prob. 7MPSCh. 14 - Prob. 8MPSCh. 14 - Prob. 9MPSCh. 14 - Prob. 10MPSCh. 14 - Prob. 11MPSCh. 14 - Prob. 1CLRCh. 14 - Prob. 2CLRCh. 14 - Prob. 3CLRCh. 14 - Prob. 4CLRCh. 14 - Prob. 5CLRCh. 14 - Prob. 6CLRCh. 14 - Prob. 7CLRCh. 14 - Prob. 8CLRCh. 14 - Prob. 9CLRCh. 14 - Prob. 10CLRCh. 14 - Prob. 11CLRCh. 14 - Prob. 12CLRCh. 14 - Prob. 13CLRCh. 14 - Prob. 14CLRCh. 14 - Prob. 15CLRCh. 14 - Prob. 16CLRCh. 14 - Prob. 17CLRCh. 14 - Prob. 18CLRCh. 14 - Prob. 19CLRCh. 14 - Prob. 20CLRCh. 14 - Prob. 21CLRCh. 14 - Prob. 22CLR
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