Math Problem Statement

Which pairs of triangles appear to be congruent? Check all that apply.

Solution

The question asks which pairs of triangles appear to be congruent. Let's analyze the triangles visually.

  1. Triangles 1 and 3: These appear to be congruent since they have the same shape and size.
  2. Triangles 2 and 4: These also appear congruent because they have the same shape and size, despite being oriented differently.

So, the correct pairs of congruent triangles are:

  • A. Triangles 1 and 3 (Correct)
  • D. Triangles 2 and 4 (Correct)

Your selections are correct.

Would you like more details or have any questions? Here are some related questions you might find interesting:

  1. What are the criteria for two triangles to be congruent?
  2. How can transformations help in proving triangle congruency?
  3. Can you list different types of triangle congruence (e.g., SSS, SAS)?
  4. What is the difference between congruent and similar triangles?
  5. How can you use coordinate geometry to prove triangle congruency?

Tip: When comparing triangles for congruency, focus on their corresponding sides and angles to see if they match either through direct comparison or using transformations.

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Math Problem Analysis

Mathematical Concepts

Geometry
Congruent Triangles

Formulas

N/A for visual congruence analysis

Theorems

Triangle Congruence Theorems (SSS, SAS, ASA, AAS, HL)

Suitable Grade Level

Grades 6-8