Tarif drew the rectangle shown below and then reflected it over CD to form Rectangle A'BCD. He argues that the image of the rectangle will be in the same location as the original rectangle was. His
classmate, Raquel, thinks that it will not be.
D
с
Drag the points that will remain in the same location when the rectangle is reflected to the
appropriate box as well as the points that will move when the rectangle is reflected.
do
Points That Will Remain in
the Same Location When
the Rectangle is Reflected
Points That Will Not Remain
in the Same Location When
the Rectangle is Reflected
B
A

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

no because after the troops were pulled many blacks were killed by hangings lynchings and other cruel ways which in a way interrupted the reconstruction of the south and differed from the way abraham lincoln had an idea of reconstruction

8: 40

2 hours

10: 40

55 min

11: 35