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For a triangle, what does the term "isosceles" indicate?

  1. All three sides are of different lengths

  2. No two angles are the same

  3. There is one right angle

  4. There are two equal sides and two equal angles

The correct answer is: There are two equal sides and two equal angles

An isosceles triangle is a triangle with two equal sides and two equal angles. Option A (all three sides are of different lengths) is incorrect because an isosceles triangle, by definition, has two equal sides. Option B (no two angles are the same) is incorrect because an equilateral triangle, not an isosceles triangle, has three equal angles. Option C (there is one right angle) is incorrect because a right triangle, not an isosceles triangle, has one right angle. Therefore, the correct answer is D (there are two equal sides and two equal angles) as it accurately describes the key characteristic of an isosceles triangle.