Which statement is true of the diagram below?
i think it is D can some one cofirm this
A.XY > YZ
B.WY = WZ
C.WX < YZ
D.XY = YZ
You are wrong.
Here's a graph you can play with: https://www.desmos.com/calculator/wy7dptwaij
To start with, both angles are set at 38° so both triangles are congruent (by SAS congruency).
Try changing the slider for b to make that angle bigger and see what happens to the length of YX
And note that the lengths of WX and WZ stay constant.
Here is a new graph with calculation for the lengths of ZY and XY and a slider for the length of WY (in the folder):
Try drawing the two triangles together. They have 2 sides that are the same length.
Both have the same base. WX=WZ
Both have an adjoining side that is the same length. Shown by the arc.
If i make the angle between them bigger, what happens to the third side?