Question

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.

Answer 1

D 3

Explanation:

Answer 2

C'D'=3 units

Explanation:

we know that

The translation of a segment does not modify its length

so

The length of the segment CD and the length of the segment C'D' are equal

therefore

C'D'=3 units

Verify

Let

The coordinate of point C equal to x1 and the coordinate of point D equal to x2

so

The length of segment CD is equal to

CD=x2-x1=3

The rule of the translation is

x ------> x+2

The new coordinates will be

C'=x1+2

D'=x2+2

The length of segment C'D' is equal to

(x2+2)-(x1+2)=(x2-x1)=3 units