Question

Which triangles are congruent by SAS?

A. ABC and TUV
B. VTU and ABC
C. VTU and HGF
D. none of the above

Answer 1

Option A

Triangles ABC and TUV

Explanation:

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Answer 2

Option A

Triangles ABC and TUV

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.