Yes, absolutely. All trapezoids can tessellate because all quadrilaterals tessellate the plane. Every trapezoid is half of a paralellogram, and parallelograms tessellate. Many trapezoids have additional ways of tessellating.

An isosceles trapezoid has two congruent legs and one pair of parallel sides. The base angles are congruent to one another, and by same side interior angles, the upper angles are supplementary to the respective base angles, meaning that they are both 180° – (the measure of the base angle).

The bases (top and bottom) of an isosceles trapezoid are parallel. Opposite sides of an isosceles trapezoid are the same length (congruent). The angles on either side of the bases are the same size/measure (congruent). The diagonals (not show here) are congruent.

The parallel sides are called bases, and the other two sides are called legs. Now, if a trapezoid is isosceles, then the legs are congruent, and each pair of base angles are congruent. In other words, the lower base angles are congruent, and the upper base angles are also congruent.

Two angles that share a base of a trapezoid are base angles of the trapezoid. The base angles of an isosceles trapezoid are congruent. The diagonals of an isosceles trapezoid are congruent.

Yes opposite angles of a trapezoid are supplementary. Supplementary angles of a trapezoid is defined as the sum of two opposite angles is 180…

Any pair of consecutive angles are supplementary. The diagonals are perpendicular. The diagonals bisect the angles of the rhombus. Any pair of consecutive angles are supplementary.

A trapezoid has two bases, each of which is one of the parallel sides. We already know (thanks to our extensive background in working with parallel lines) that consecutive interior angles are supplementary, so we’ve proven that consecutive angles in a trapezoid that share the same leg are supplementary.

Isosceles trapezoids have two sides that are opposite and parallel. The angles adjacent to each non-parallel side are supplementary. The angles adjacent to each parallel side are congruent.

Because of the parallel sides, consecutive angles are same-side interior angles and are thus supplementary. (All the special quadrilaterals except the kite, by the way, contain consecutive supplementary angles.) Reason for statement 1: Given. Reason for statement 2: The legs of an isosceles trapezoid are congruent.

2 right angles

A Parallelogram is a flat shape with opposite sides parallel and equal in length. Angles “a” and “b” add up to 180°, so they are supplementary angles.

In a cyclic quadrilateral, opposite angles are supplementary. If a pair of angles are supplementary, that means they add up to 180 degrees.

Consecutive angles are always supplementary if the transversal crosses parallel lines.

parallelogram

Find An Angle In A Parallelogram : Example Question #7 In a parallelogram, consecutive angles are supplementary and opposite angles are congruent.

The two interior angles of a kite that are on opposite sides of the symmetry axis are equal.

A kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: degrees degrees degrees. Additionally, kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles.

Can two angles of a kite be consecutive and supplementary? No, because if two consecutive angles are supplementary, then another pair of consecutive angles are also supplementary. Since a kite has one pair of congruent opposite angles, then two pairs of opposite angles must be congruent.

360°

Any one of the following properties distinguishes an isosceles trapezoid from other trapezoids: The diagonals have the same length. The base angles have the same measure. Opposite angles are supplementary, which in turn implies that isosceles trapezoids are cyclic quadrilaterals.

The angles between the congruent sides are called vertex angles. The other angles are called non-vertex angles. If we draw the diagonal through the vertex angles, we would have two congruent triangles. Theorem: The non-vertex angles of a kite are congruent.