![]() The parallel sides (base) of the isosceles trapezoid have equal angles. When the legs or non-parallel sides of a trapezoid are equal in length, the trapezoid is said to be isosceles. In other words, the bases are parallel and the legs are equal in. There are three types of trapezoid namely isosceles trapezoid, scalene trapezoid, and right trapezoid. This entry was posted in Geometry, Grades 6-8, Grades 9-12 and tagged base angles of isosceles trapezoid, isosceles trapezoid proof, trapezoid base angles are congruent, trapezoid congruent base angles by Math Proofs. An isosceles trapezium is a trapezium in which the non-parallel sides are equal in measure. $latex \angle A \cong \angle D$ since corresponding parts of congruent triangles are congruent. $latex \triangle ABC \cong \triangle DCF$ ( SSSTriangle Congruence) ![]() In trapezoid ABCD below, $latex \overline$ by the Hypotenuse Leg Theorem. The sum of the measures of the angles of a quadrilateral. In this post, we prove that if a trapezoid is isosceles, its base angles are congruent. SOLUTION: The trapezoid QRST is an isosceles trapezoid so each pair of base angles is congruent. Since segment BC is parallel to segment AD. Opposite sides of an isosceles trapezoid are the same length (congruent). Another definition is that an isosceles trapezoid is a trapezoid whose base angles are congruent. An isosceles trapezoid is a trapezoid whose base are congruent. The bases (top and bottom) of an isosceles trapezoid are parallel. The parallel sides are the base and the non parallel sides are called the legs. A trapezoid is a quadrilateral with exactly one pair of parallel sides (definitions may differ in other sources).
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