Q:

Line segment CD has a length of 3 units. It is translated 2 units to the right on a coordinate plane to obtain line segment C’D. What is the length of C’D.

Accepted Solution

A:
Answer:C'D'=3 units Step-by-step explanation:we know thatThe translation of a segment does not modify its lengthsoThe length of the segment CD and the length of the segment C'D' are equalthereforeC'D'=3 units VerifyLetThe coordinate of point C equal to x1 and the coordinate of point D equal to x2soThe length of segment CD is equal toCD=x2-x1=3The rule of the translation is x ------> x+2The new coordinates will beC'=x1+2D'=x2+2The length of segment C'D' is equal to(x2+2)-(x1+2)=(x2-x1)=3 units