Question

What else would need to be congruent to show that ABC equals XYZ by SAS

Answer 1

`\bar B\bar C` ≅
`\bar Y \bar Z` need to be congruent to show that ABC equals XYZ by SAS. Option B is the right choice.

As we know that,

SAS stands for side-angle-side, which indicates that for two triangles to be congruent, all two sides and the angle they produce must be congruent and equal.

You have an angle, <B and <Y, and a side, AB and XY, in this instance. The last side, which produces angle B along with side AB on triangle ABC and angle Y along with side XY on triangle XYZ, is all that is needed to finish this.

The answer must be the sides of triangles ABC and XYZ are, respectively, BC and YZ.

Option B is the right choice.

Answer 2

Remember that SAS stands for side-angle-side, meaning two sides and the angle formed by those sides must all be congruent for two triangles to be congruent.

In this case, you have a side—AB and XY—and an angle, <B and <Y. To complete this, you simply need the final side, which forms angle B along with side AB on triangle ABC, and forms angle Y along with side XY on triangle XYZ.

By looking at the diagram, you can tell this side on triangle ABC is BC, and the side on triangle XYZ is YZ, so the answer must be B.