24 A transformation maps A(-1, -2), B(3, 4), and C(2, 4) onto A (3,-4), B'(7, 2), and C (6, 6). Determine if the transformation is a translation.
Choose all that apply.
vbs, all pairs of corresponding points have moved in the same direction
by the same distance.
No, one or more pairs of corresponding points have not moved the
same distance.
No, one or more pairs of corresponding points have not moved in the
same direction.
Solve it

Hey there!

No, one or more pairs of corresponding points have not moved the

same distance.

Let me know if this helps :)

(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