Given: ∠XWY ≅ ∠ZYW ∠X and ∠Z are both right angles.
Prove: YXW ≅ WZY
Answers
Answer:
Step-by-step explanation:
Prove: YXW ≅ WZY
The image is a quadrilateral WXYZ with a diagonal YW such that we get two triangles YXW and WZY. Measure of angle X and angle Z is 90 degrees. Angle XWY and angle ZYW are marked as congruent.
A. Given: ∠XWY ≅ ∠ZYW , ∠X and ∠Z are both right angles.
∠X ≅ ∠Z (they have the same measure).
∠XYW ≅ ∠ZWY (alternate interior angles of parallel lines).
WY ≅ WY (Reflexive Property of Congruence).
YXW ≅ WZY (by SAS)
B. Given: ∠XWY ≅ ∠ZYW , ∠X and ∠Z are both right angles.
∠X ≅ ∠Z (they have the same measure.)
WY ≅ WY (Reflexive Property of Congruence).
YXW ≅ WZY (by AAS)
C. Given: ∠XWY ≅ ∠ZYW , ∠X and ∠Z are both right angles.
∠X ≅ ∠Z (they have the same measure.)
WY ≅ WY (Reflexive Property of Congruence.)
YXW ≅ WZY (by SAS)