Answer: G
<u>Step-by-step explanation:</u>
(x, y) → (
,
)
means that the new quadrilateral will be
the size of the original quadrilateral, so it will be smaller because the it maps to a fraction that is less than 1.
The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.
This means




Step 1. Simplify

to

Step 2. Simplify

to

Step 3. Simplify

to

Step 4. Cancel

on both sides
Step 5. Multiply both sides by

(the LCM of

)
Step 6. Expand
Step 7. Subtract

from both sides
Step 8. Simplify

to

Step 9. Multiply both sides by


Done! :) Hope this helps! :)