Question

(02.01 LC)

Line segment AB has a length of 3 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A prime B prime. What is the length of A prime B prime?
A. 1 unit
B.2 units
C. 3 units
D. 5 units

Answer 1

answer is c. 3 units. it only moved, didnt change in length

Answer 2

The correct option is C.

Explanation:

It is given that line segment AB has a length of 3 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A'B'.

Translation is a rigid transformation. It means the shape and size of preimage and image are same. In other words we can say that the preimage and image are congruent.

Corresponding sides of congruent figures are congruent.

`AB\cong A'B'`

`AB=A'B'` (Definition of concurrent segment)

`3=A'B'` (AB=3 units)

The length of A'B' is 3 units. Therefore the correct option is C.