it is possible, if the triangle is bigger than the rectangle, for example the rectangle has a base of 5 and height of 2-- so the area is 10; and then the triangle has a base of 5 and a height of 4-- the area is also 10.
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If the triangle and hexagon are equilateral, then the trapezoid is not like the others because all of its angles are not equal. A rectangle will have 4 equal right angles. An equilateral triangle will have 3 equal acute 60 degree angles. An equilateral hexagon will have 6 equal obtuse 120 degreeangles.
No, a triangle and a rectangle are not congruent. Congruent means exactly the same size and shape. A triangle has 3 sides while a rectangle has four. A triangle's three angles always add up to 180 degrees where as a rectangle's four right angles always equal 360 degrees. They are not congruent- not even similar- at all.
No, not every triangle is half of a rectangle. A rectangle has four sides and four right angles, while a triangle has three sides and three angles. The area of a triangle is not necessarily half of the area of a rectangle with the same base and height. Triangles and rectangles are different geometric shapes with distinct properties.