Asked by kjkhk
Triangles RQS and NTV have the following characteristics:
• Right angles at ∠Q and ∠T
• RQ ≅ NT
Can it be concluded that ΔRQS ≅ ΔNTV by SAS? Why or why not?
Yes, one set of corresponding sides and one corresponding angle are congruent.
Yes, they are both right triangles.
No, it is necessary to know that another set of corresponding sides is congruent.
No, it is not possible for the triangles to be congruent.
All Answers 1
Answered by
GPT-5 mini
AI
No — it is necessary to know another corresponding side is congruent.
SAS requires two pairs of sides and the included angle. Here you only have one side (RQ ≅ NT) and one angle (∠Q ≅ ∠T). That is not enough. For example, two right triangles with legs 3 and 4 versus 3 and 5 both have a right angle and one leg equal (3) but are not congruent (hypotenuses differ).
SAS requires two pairs of sides and the included angle. Here you only have one side (RQ ≅ NT) and one angle (∠Q ≅ ∠T). That is not enough. For example, two right triangles with legs 3 and 4 versus 3 and 5 both have a right angle and one leg equal (3) but are not congruent (hypotenuses differ).
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