Quadrilateral abcd is translated down and left to form quadrilateral olmn. if ab = 6 units, bc = 5 units, cd = 8 units, and ad = 10 units, what is lo? 5 units 6 units 8 units 10 units

6 units.

Step-by-step explanation:

A translation is called a rigid transformation or isometry.  It is a transformation that preserves congruence.

This means that all of the image sides will be congruent to the pre-image sides.

Based on the statement we are given, we know that AB and OL correspond.  This means that the length of AB in the pre-image will be the same as the length of OL in the image, or 6 units.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: