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XYZ is reflected across the y-axis and then translated down 6 units to form X'Y'Z'. Which of the following statements is false?

A. X has the same measure as X'.

B. Side YZ is the same length as side Y'X'.

C. Z has the same measure as Z'.

D. Side XZ is the same length as side X'Z'.

Option B. Side YZ is the same length as side Y'X'.

Step-by-step explanation:

At first the image is for the given question

The true graph is the attached figure.

As shown at the attached figure.

XYZ is reflected across the y-axis and then translated down 6 units to form X'Y'Z'.

So, X' is the image of point X

     Y' is the image of point Y

     Z' is the image of point Z

And ΔXYZ ≅ ΔX'YΔ'Z'

And the corresponding length are congruent.

We will check the options:

A. X has the same measure as X'. ⇒ True

B. Side YZ is the same length as side Y'X'. ⇒ Wrong

Because YZ will be translated to Y'Z'

C. Z has the same measure as Z'. ⇒ True

D. Side XZ is the same length as side X'Z'. ⇒ True

So, The answer is option B. Side YZ is the same length as side Y'X'.

you should at least use a calculater

step-by-step explanation: