Question

Line segment ab has a length of 4 units. it is translated 1 unit to the right on a coordinate plane to obtain line segment a prime b prime. what is the length of a prime b prime? 1 unit 4 units 5 units 6 units

Answer 1

The answer is B 4. tell me if it is right to be marked brailyist

Answer 2

The length of A'B' is 4 unit.

Explanation:

Translation is a rigid transformation in which a figure or a line segment is shifted or moved without changing its shape and size,

That is, if the measurement of segment AB is 4 unit then after translation by any factor its measurement will not change,

So, the measurement of segment A'B' would be 4 unit.

Verification :

Let the coordinates of A and B are
`(x_1, y_1)` and
`(x_2, y_2)` respectively,

Also, the rule of translation 1 unit right is,

`(x,y)\rightarrow (x+1, y)`

By the distance formula,

The measure of segment AB =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

Thus, if A'B' is the transformed segment of segment AB,

Then, coordinates of A' and B' are
`(x_1+1, y_1)` and
`(x_2+1, y_2)`

So, the measure of segment A'B' =
`√((x_2+1-x_1-1)^2+(y_2-y_1)^2)=√((x_2-x_1)^2+(y_2-y_1)^2)`

Hence, the measure of AB = measure of A'B'