Question

Triangle ABC is reflected to form Triangle A'B'C'. What is the measurement of segment A'B'?

Answer 1

2 units

Explanation:

Since a reflection doesn't change the angle or line segment measurements, Triangle A'B'C' will be congruent to Triangle ABC. Therefore, segment AB would be equivalent to segment A'B' and since segment AB=2 units, segment A'B' would equal 2 units as well.

Answer 2

Answer: The required length of segment A'B' is 2 units.

Step-by-step explanation: Given that the triangle ABC is reflected to form triangle A'B'C'.

We are to find the length of segment A'B'.

From the graph, we note that

the co-ordinates of the vertices A and B are (3, -2) and (3, 0) respectively.

So, using distance formula, the length of the segment AB is given by

`AB=√((3-3)^2+(0+2)^2)=√(0+2^2)=√(2^2)=2.`

Since reflection of a figure does not change its shape and size, so the length of segment A'B' is equal to the segment AB.

Thus, the required length of segment A'B' is 2 units.