I only need help on questions 6 and 7. (Use the congruent figure on top to answer 6 and 7.)

See below.

Step-by-step explanation:

All statements of congruent angles and congruent segments are correct.

A similarity statement can be written ...

Write a similarity statement ...

ABCD ~ HJKL

The reason written in the problem is incorrect. The polygons are similar, not congruent, so you cannot state that they are congruent as a reason for them to be similar.

This is the correct reason:

"The reason as why the two shapes are similar is that each angle A, B, C, D is congruent to each corresponding angle H, J, K, L, respectively, and the lengths of corresponding sides are proportional."

"A similarity ratio is a ratio that compares the lengths of the corresponding sides of two similar polygons. The ratio is written in the same order as the two

polygons."

For the similarity ratio, we use two corresponding sides.

AB = 8; HJ = 12

AB/HJ = 8/12 = 2/3

The similarity ratio of ABCD to HJKL is 2/3.

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:

-4

step-by-step explanation: