Question

If vx = wz = 40 cm and m∠zvx = m∠xwz = 22°, can δvzx and δwxz be proven congruent by sas? why or why not?

Answer 1

two triagles congruence can be proven with SAS, if two sides are congruents, and two angles are congruents

can δvzx and δwxz be proven congruent by sas, because
vx = wz = 40 cm and m∠zvx = m∠xwz = 22°

Answer 2

No, there is not enough information given.

Explanation:

The complete question is

If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS? Why or why not?

• Yes, along with the given information, ZX ≅ ZX by the reflexive property.
• Yes, the triangles are both obtuse.
• No, the sides of the triangles intersect.
• No, there is not enough information given.

To prove a congruence with SAS postulate, we need to have to pair of corresponding sides congruent, and the angles formed by then must be also congruent, that's why is called Side-Angle-Side postulate of congruence.

In this case, we have the congruence between one pair of corresponding sides and one pair of corresponding angles, that means we need another congruence between corresponding sides to use the postulate SAS.

Therefore, there's no enough information given to prove the congruence with SAS postulate.