![]() ![]() The triangle EBC is the isosceles triangle. The second implication is that the straight line segments AD and EC are congruent as the opposite sides of the parallelogram AECD. The segment AE is shorter than AB, hence, the point E lies The first implication of this fact is that the segments AE and DCĪre congruent as the opposite sides of the parallelogram. Then the quadrilateral AECD is the parallelogram,īecause it has parallel opposite sides AE and DC, as well as To the lateral side DA, which intersects the base AB at the point E Straight line segment CE from the vertex of the shorter base parallel Let ABCD be an isosceles trapezoid ( Figure 3a). Theorem 1In an isosceles trapezoid the base angles are congruent. The angles at the ends of the larger base of a trapezoid are called the base angles (the angles L A and L B in Figure 1).Ī trapezoid is called isosceles if its lateral sides are congruent (see Figure 2). The non-parallel sides of a trapezoid are called its lateral sides or legs (sides AD and BC in Figure 1). The parallel sides of a trapezoid are called its bases (sides AB and DC in Figure 1). Trapezoid is a quadrilateral which has two opposite sides parallel and the other two sides non-parallel (see the Figure 1). In this lesson you will learn major definitions and facts related to trapezoids and their base angles. ![]()
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