High School

If G is the midpoint of AB, classify each triangle by its angles and sides.

1. Triangle CFE:
2. Triangle BEC:
3. Triangle BFG:
4. Triangle GAF:

Answer :

Final answer:

These triangles have been classified based on their angle measurements and side lengths.

Explanation:

1. CFE: Triangle CFE is classified as an isosceles triangle because it has two equal sides, CF and CE, and two equal angles, ∠CFE and ∠CEF.

2. BEC: Triangle BEC is classified as a scalene triangle because all three sides, BE, EC, and BC, are of different lengths, and all three angles, ∠BEC, ∠BCE, and ∠CEB, are different as well.

3. BFG: Triangle BFG is classified as an equilateral triangle because all three sides, BF, FG, and BG, are of equal length, and all three angles, ∠BFG, ∠FBG, and ∠FGB, are equal.

4. GAF: Triangle GAF is classified as an isosceles triangle because it has two equal sides, GA and GF, and two equal angles, ∠GAF and ∠GFA.

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