Question

HELP upvote brainliest Write the statement that would go in the empty box to complete the flow proof below.

Given: W is the midpoint of XY and VZ,
PROVE XVM is congruent to YZW

Answer 1

Here, ∠WVX = ∠WZY
& ∠W = ∠W  [ Reflexive Property ]

Triangles have the constant sum, so they would be: equal.
WVX + WXV + W = W + WZY + WYZ
WXY = WYZ   [ ∠WVX = ∠WZY ]

Now, As all the angles are equal, we conclude:
ΔXVW ≈ ΔYZW  [ By ASA Postulate ]

Hope this helps!