Triangle XYZ with vertices X ( 5 , 7 ) , Y ( 8 , 3 ) , and Z ( 2 , 3 ) is reflected over the y-axis and translated up 4 units to

Question

1 year ago

10

form triangle X ` Y ` Z ` . What is the length of segment Y ` Z ` ?

1 answer:

charle [14.2K] · Answer 1 · 2023-09-14T13:51:42+03:00

After the reflection and the translation of XYZ, the length of segment Y'Z' is 6 units

<h3>How to determine the length of segment Y'Z' ?</h3>

The transformation is given as:

Both transformations are rigid transformations.

This means that the lengths YZ and Y'Z' would remain the same

The coordinates are given as:

Y = (8,3)

Z = (2,3)

Both points are on the same y coordinate.

So, the length YZ is

YZ = 8 - 2

Evaluate

YZ = 6

Hence, the length of segment Y'Z' is 6 units