An isosceles triangle and a isosceles trapezoid.
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A trapezoid with two congruent, opposite sides is an isosceles trapezoid.
A triangle with two congruent sides is an isoscelestriangle. But an equilateral triangle has two congruent sides. (It actually has three congruent sides.) And isosceles triangle is generally described as a triangle with exactly two congruent sides.
A trapezoid will always have two parallel sides. However, it will not necessarily have two congruent sides. The only way it will have two congruent sides is if the angles at the base match.
A triangle which has no two sides congruent is called a Scalene Triangle.
A trapezoid.