Question

**SHOW WORK IF POSSIBLE**

For Items 9-11, refer to the diagram.

9. If WX WZ, is APXW APZW? Explain.

A Yes; the triangles are congruent by the Side-Angle-Side Congruence Theorem.

B Yes; the triangles are congruent by the Angle-Side-Angle Congruence Theorem.

C Yes; the triangles are congruent by the Side-Side-Side Congruence Theorem.

D No; the triangles are not congruent.

10. If XZ LWY and XY = ZY, is ΔΧΥΡ = ΔΖΥΡ? Explain.

A Yes; the triangles are congruent the Hypotenuse-Leg Congruence Theorem.

B Yes; the triangles are congruent by the Angle-Side-Angle Congruence Theorem.

C Yes; the triangles are congruent by the Angle-Angle-Side Congruence Theorem.

D No; the triangles are not congruent.

11. If XW|| YZ and ZXWZ = ZZYX, is AXWZ AZYX? Explain.

A Yes; the triangles are congruent by the Angle-Angle-Side Congruence Thoerem.

B Yes; the triangles are congruent by the Angle-Side-Angle Congruence Thoerem.

C Yes; the triangles are congruent by the Side-Angle-Side Congruence Theorem.

D No; the triangles are not congruent.​

Answer 1

9.) Yes; the triangles are congruent by the Side-Side-Side Congruence Theorem.

What is Side-Side-Side Congruence Theorem?

Side-Side-Side Congruence Theorem can be defined as the theorem which states that if all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent.

Since it is given that;

∆PXW ≈ ∆ PZW

Then line WX should be congruent to line WZ by the Side-Side-Side Congruence Theorem.