Which of the following shows why parallelogram pqrs is congruent to parallelogram p'q'r's'?
a.
the parallelogram was rotated 180° clockwise about the origin and shifted 5 units in the y-direction.
b.
the parallelogram was rotated 90° clockwise about the origin and shifted -5 units in the y-direction.
c.
the parallelogram was rotated 90° clockwise about the origin and shifted 5 units in the x-direction.
d.
the parallelogram was rotated 180° clockwise about the origin and shifted -5 units in the x-direction.

B

Step-by-step explanation:

1. First transformation is the rotation 90° clockwise about the origin. This transformation has the rule

(x,y)→(y,-x).

Then

2. The second transformation is translation 5 units down with the rule

(x,y)→(x,y-5).

Then

associative property hopes this ! : )

step-by-step explanation:

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.