I need help plz. we are out of school bc of the corona virus and i'm not able to ask my teacher

The new line segment CD is 1/4 th of AB

CD = × AB

Step-by-step explanation:

Given that, RSTU is a square and AB a line drawn through it's center.

let the length of side of square be a.

⇒ Length of line segment AB = a. (as it is same as length of side of square)

Now, given the square is dilated using the scale factor of 1/4 and a line is drawn through the center of the new dilated figure.

let this line be CD with points C and D on sides of dilated square.

Now, as the square is dilated by a factor of 1/4, length of side of dilated square is a× =

⇒ the length of CD =

⇒ The new line segment CD is 1/4 th of AB

CD = × AB