Question

WY≅VX. Prove that △WXY≅△VYX.

Answer 1

To prove that triangles WXY and VYX are congruent, we can use the concept of side-angle-side (SAS) congruence. Since WY is congruent to VX (given), we only need to prove that angle WXY is congruent to angle VYX and that side XY is congruent to side YX.

Step-by-step explanation:

To prove that triangles WXY and VYX are congruent, we can use the concept of side-angle-side (SAS) congruence. Since WY is congruent to VX (given), we only need to prove that angle WXY is congruent to angle VYX and that side XY is congruent to side YX.

Proof:

1. Given: WY ≅ VX
2. Since WY ≅ VX (given) and XY is common to both triangles, we have side XY ≅ side YX
3. Angle WXY and angle VYX are vertical angles and therefore congruent
4. By SAS congruence, triangles WXY and VYX are congruent.