Question

Suppose the two line segments in a coordinate plane one with a length of 120 units and other with a length of 240 units were both rotated 90 degrees about the origin and then translated 50 units up one of the resulting segments could have a length of...Units.

Answer 1

`Line\ 1 = 120\ units`

`Line\ 2 = 240\ units`

Explanation:

Given

`Line\ 1 = 120\ units`

`Line\ 2 = 240\ units`

Transformation

Rotation: 90 degrees

Translation: 50 units up

Required

The new length of one of the lines

Since no options were given, I will solve for the lengths of the two lines

From the question, the transformations are rotation and translation. These two types of translation do not alter the length or angle of a shape.

This implies that both lines will still retain their original lengths.

So. we can conclude that, after the transformation

`Line\ 1 = 120\ units`

`Line\ 2 = 240\ units`