if vx = wz = 40 cm and m∠zvx = m∠xwz = 22°, can △vzx and △wxz be proven congruent by sas? why or why…

if vx = wz = 40 cm and m∠zvx = m∠xwz = 22°, can △vzx and △wxz be proven congruent by sas? why or why not?\nyes, along with the given information, zx ≅ zx by the reflexive property.\nyes, the triangles are both obtuse.\nno, the sides of the triangles intersect.\nno, there is not enough information given.

if vx = wz = 40 cm and m∠zvx = m∠xwz = 22°, can △vzx and △wxz be proven congruent by sas? why or why not?\nyes, along with the given information, zx ≅ zx by the reflexive property.\nyes, the triangles are both obtuse.\nno, the sides of the triangles intersect.\nno, there is not enough information given.

Answer

Explanation:

Step1: Recall SAS congruence criterion

The SAS (Side - Angle - Side) congruence criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Step2: Analyze given information

We are given that $VX = WZ=40$ cm and $\angle ZVX=\angle XWZ = 22^{\circ}$. Also, $\overline{ZX}=\overline{ZX}$ by the reflexive property. The side - angle - side pairs are: In $\triangle VZX$ and $\triangle WXZ$, we have side $VX = WZ$, $\angle ZVX=\angle XWZ$ and side $ZX = ZX$. The angle is the included angle between the two pairs of sides.

Answer:

A. Yes, along with the given information, $\overline{ZX}\cong\overline{ZX}$ by the reflexive property.