GED Math Practice Test

Which triangle has two equal sides and two equal angles?

1. Equilateral triangle

2. Isosceles triangle

3. Right triangle

4. Scalene triangle

The correct answer is: Isosceles triangle

The correct answer is the isosceles triangle because this type of triangle is defined by having at least two sides that are equal in length. When a triangle has two equal sides, the angles opposite those sides are also equal. This property directly links the equal lengths of the sides to the equal measures of the angles, fulfilling the condition specified in the question. An equilateral triangle, while it also has equal sides, has all three sides equal, which means all three angles are also equal, leading to a specific classification rather than the focus on just two equal sides and angles. A right triangle is characterized by having one angle that measures 90 degrees, which doesn't necessitate the equality of any of its sides or the other angles. A scalene triangle, on the other hand, is defined by having all sides of different lengths, resulting in all angles also being different, which does not meet the criteria mentioned in the question. Thus, the characteristics of an isosceles triangle align perfectly with the requirement of having two equal sides and two equal angles.