Which triangles are congruent by SAS?

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Question:

Which triangles are congruent by SAS? A. ABC and TUVB. VTU and ABCC. VTU and HGFD. none of the above

Answer:

Answer:

Option A

Triangles ABC and TUV

Step-by-step explanation:

Given three triangles ABC , FGH and TUV

For triangles ABC and FGH, given that

DF =AB

DH = AC

and angle F = angle A

This cannot be taken as SAS congruence because the angle F is not included between the equal sides.  Two triangles can be congruent by SAS only if two sides and included angle are congruent.

For triangles ABC and TUV we have AB=TU, AC = TV and

included angles between these sides are equal.

So these two triangles are congruent

We write corresponding sides only in order Hence ABC = TUV

and Not VTU =ABC

So option A is true.

From the answer and question examples above, hopefully, they could guide the student deal with the question they had been looking for and take notice of every detail declared in the answer above. You could then have a discussion with your classmate and continue the school learning by studying the question jointly.

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