What makes a trapezoid isosceles




















In these figures, the other two sides are parallel, too and so they meet not only the requirements for being a trapezoid quadrilateral with at least one pair of parallel sides but also the requirements for being a parallelogram.

The definition given above is the one that is accepted within the mathematics community and, increasingly, in the education community. Many sources related to K education have historically restricted the definition of trapezoid to require exactly one pair of parallel sides.

This narrower view excludes parallelograms as a subset of trapezoids, and leaves only the figures like , , and. Parallelograms with special features, like right angles or all congruent sides or both , are given their own distinctive names: rectangle, rhombus, and square.

Learn Practice Download. Isosceles Trapezoid An isosceles trapezoid is a trapezoid with congruent base angles and congruent non-parallel sides. Isosceles Trapezoid Definition 2. Properties of Isosceles Trapezoid 3.

Isosceles Trapezoid Formula 4. Examples on Isosceles Trapezoid Example 1: Find the height of the isosceles trapezoid if the area is inches 2 and the lengths of the bases are 12 inches and 20 inches.

Example 2: Find the area of an isosceles trapezoid if its bases are 3 inches and 5 inches and its height is 4 inches. Example 3: Find the perimeter of an isosceles trapezoid if its bases are 20 inches and 25 inches and non-parallel sides are 30 inches each. Symmetries of Rectangles. Symmetries of Isosceles Trapezoids. Properties of Rectangles.

View All Related Lessons. Vincent Huang. Trapezoid ABCD. Walk through homework problems step-by-step from beginning to end. Hints help you try the next step on your own. Unlimited random practice problems and answers with built-in Step-by-step solutions.

Practice online or make a printable study sheet. Collection of teaching and learning tools built by Wolfram education experts: dynamic textbook, lesson plans, widgets, interactive Demonstrations, and more. MathWorld Book. Wolfram Web Resources ».



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