Math Problem Statement

Classify Triangles by Sides: All sides are _____. All angles are _____. Congruent: _____.

Solution

The image appears to be part of a worksheet asking to classify a triangle by its sides and angles.

Based on the diagram of the triangle in the image, it looks like an equilateral triangle (since all sides seem to be marked as equal, and all angles in an equilateral triangle are equal to 60°).

Here's how to fill in the blanks:

  • All sides are: equal (since all three sides are of the same length).
  • All angles are: equal (since in an equilateral triangle, all angles are 60°).
  • Congruent: Yes (all sides and angles are congruent, meaning they are the same).

Would you like more details, or do you have any questions?

Here are some follow-up questions:

  1. What is the difference between an equilateral and an isosceles triangle?
  2. How would you classify a triangle if only two sides are equal?
  3. What is the sum of the angles in any triangle?
  4. Can you explain the difference between acute, obtuse, and right triangles?
  5. How would you prove that all angles in an equilateral triangle are 60°?

Tip: Always remember that the sum of angles in any triangle is 180°.

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Math Problem Analysis

Mathematical Concepts

Triangle Classification
Equilateral Triangle

Formulas

Sum of angles in a triangle = 180°

Theorems

Congruency of Equilateral Triangles

Suitable Grade Level

Grade 4-6