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Which case proves that two triangles are congruent when two sides and the included angle are equal?

SSS

SAS

ASA

AAS

Triangles have sides 6, 8, 10 cm, and another triangle has sides 10, 6, 8 cm. Are they congruent?

No, because the order of the sides is different

No, because their perimeters are different

Yes, by SSS, because the three pairs of sides are equal

Yes, because their areas are equal and that alone proves it

If Δ ABC ≅ Δ DEF and AB = 4 cm, what is DE?

3 cm

8 cm

6 cm

4 cm

If Δ ABC ≅ Δ DEF, angle A = 35° and angle B = 85°, find angle F.

60°

35°

95°

120°

If two triangles are congruent, are their perimeters equal?

No, because perimeter depends only on the angles

Yes, because each side equals its corresponding side

No, because the areas may differ

No, because congruent triangles can have different sides

Congruence — Lesson quiz