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which triangle is congruent to △abc?

Question

which triangle is congruent to △abc?

Explanation:

Step1: Recall congruence criteria

Congruent triangles have equal - side lengths and equal - angle measures. We can use SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side) and HL (Hypotenuse - Leg for right - triangles) criteria. Here, we can look at the side - length markings.

Step2: Analyze the given $\triangle ABC$

In $\triangle ABC$, we have two side - length markings. We need to find a triangle with the same two side - length markings in the same relative positions.

Step3: Check each option

Option A: The side - length markings do not match those of $\triangle ABC$.
Option B: The side - length markings match those of $\triangle ABC$. The two marked sides and the included angle (by the position of the markings) are in the same relative positions as in $\triangle ABC$.
Option C: The side - length markings do not match those of $\triangle ABC$.
Option D: The side - length markings do not match those of $\triangle ABC$.

Answer:

B.