
Defining an Isosceles Trapezoid - Mathematics Stack Exchange
Jul 1, 2024 · A Trapezoid is a quadrilateral with at least one set of parallel sides. An Isosceles Trapezoid is a Trapezoid where the legs are of equal length. These definitions are called …
geometry - Proving that a quadrilateral is an isosceles trapezoid if ...
Aug 6, 2022 · A quadrilateral is an isosceles trapezoid if and only if the diagonals are congruent. And more specifically, Wikipedia's "Isosceles trapezoid" entry says: (An isosceles trapezoid is …
geometry - Isosceles trapezoid - Mathematics Stack Exchange
I was solving an exercise on Isosceles trapezoid whose diagonal was given, and I note that If I draw a diagonal in the isosceles trapezoid I got two triangles To determine the area of the …
Height of an isosceles trapezoid - Mathematics Stack Exchange
Aug 24, 2018 · Suppose we have an isosceles trapezoid whose length of the associated square is $20$ and the length of the hypotenuse of the triangles is $30$. I want to determine if it is …
How to find the centre of the circle that inscibes an isosceles …
Dec 16, 2021 · An isosceles trapezoid is cyclic The book describes the process as such: "the center of the circle containing all four vertices of the trapezoid is the point of intersection of the …
Prove that the dual (ie, "midpoint polygon") of an isosceles …
Oct 16, 2019 · Prove that the dual of an isosceles trapezoid is a rhombus. Here, the "dual" of any polygon is where its sides intersects the midpoint of each side of the "outer" figure.
Show that a trapezoid is cyclic if and only if it is isosceles
Dec 31, 2020 · Can you do the forward direction? i.e. show that IF a trapezoid is isosceles, then it is cyclic. This I think is the easier of the two implications.
Given lengths of larger base and two equal sides, as well as area of …
Jul 9, 2025 · Given lengths of larger base and two equal sides, as well as area of an isosceles trapezoid, find length of the smaller base Ask Question Asked 2 months ago Modified 2 …
Isosceles trapezoid and special triangles in a square with ...
Nov 7, 2025 · In triangle $\triangle KDH$, since $\angle DHK = 45°$ (from the right isosceles triangle $\triangle CEH$): $$\angle DKH = 180° - 67.5° - 45° = 67.5°$$ Therefore $\angle KDH …
How to bisect an isosceles trapezoid into two equal area parts
Jul 30, 2016 · 2 Given an isosceles trapezoid: I want to draw a line parallel to the bases (that is, parallel to and in between AD and BC) such that the top half and the bottom half both have …