Question

On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is not necessarily true?
A) G'H' = GH

B) G'H'= 8 units

C) m∠HIJ = m∠H'I'J'

D) m∠HI'J = m∠H'IJ'

Answer 1

Suppose the polygon GHIJ , either a convex polygon or concave polygon have coordinates ,G(a,b), H (p,q), and I (r,s) and J (m,n).

Now the Preimage G H I J is translated 8 units to the left to get the polygon G' H' I' J'.

The coordinates of G' (a-8,b), H'(p-8,q), I'(r-8,s) and J (m-8,n).

The two polygons will be congruent. So their side lengths and interior angles will be equal.

Option (A) G'H' =G H and Option(C) m∠H I J = m∠H'I'J' are correct options.

Answer 2

 The question is asking to choose among the following choices that states the equation that is not necessarily true about the said coordinate plane and in my further calculation, the answer would be letter B. G'H' = 8 units. I hope you are satisfied with my answer and feel free to ask for more