Вопрос:

24. Identify the congruence criteria for triangles OKL and OPL based on the markings. Provide a step-by-step explanation.

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Ответ:

Step-by-step explanation:

  • Step 1: Analyze the markings. In triangle OKL and triangle OPL, we see that OK is marked with a single dash and OP is marked with a single dash, indicating OK = OP. KL is marked with a double dash and PL is marked with a double dash, indicating KL = PL. OL is common to both triangles, so OL = OL.
  • Step 2: Identify the congruence criterion. We have three sides of triangle OKL equal to the corresponding three sides of triangle OPL: OK = OP (Side), KL = PL (Side), and OL = OL (Side).
  • Step 3: Apply the SSS congruence criterion. Since all three sides of triangle OKL are equal to the corresponding three sides of triangle OPL, the triangles are congruent by the Side-Side-Side (SSS) congruence postulate.

Answer: Triangles OKL and OPL are congruent by the SSS (Side-Side-Side) congruence criterion.

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