Question

What additional information is needed to prove the triangles are congruent by the SAS postulate

Answer 1

Choice 2
You need to know line WX is congruent to line WZ. WY is a reflexive side so means it is equal in both triangles. Angle XWY and angle ZWY are congruent as marked in the picture so in order to know if Triangle XWY and Triangle ZWY by the SAS postulate, you need to know if sidez WX and WZ are congruent.

Answer 2

The additional information required to prove the triangles are congruent by the SAS postulate is WX = WZ.

What is the SAS postulate?

The triangles are congruent if two sides and the included angle of one triangle are congruent with two sides and the included angle of another triangle.

It is shown in the figure that:

• WY = YW (Common side)
• ∠XWY = ∠ZWY (included angles)

Hence, WX should be equal to WZ for the triangles to be congruent.

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