Properties of Isosceles Trapezoids
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- Here are some properties of isosceles trapezoids. A trapezoid is a cyclic quadrilateral (that is, can fit inside a circle) with one pair of parallel sides. An isosceles trapezoi…
By Abigale Kim (a+bi), David Stoner, Alex Federspiel, Joshua Siktar
- One way to prove that a quadrilateral is an isosceles trapezoid is to show: The quadrilateral has two parallel sides. The lower base angles are congruent and the upper base angl…
By Caroline K, Alex Federspiel
Problems 7
- In the above figure, trapezoid ABCDABCDABCD is inscribed within a circle. Which of the following must be true?
- Suppose that in isosceles trapezoid ABCDABCDABCD angle AAA is 130∘130^{\circ}130∘. If angle CCC is acute, what is its measure?
- ABCDABCDABCD is an isosceles trapezoid where ABABAB and CDCDCD are parallel. We also know that m∠CAB=3x+10,m\angle CAB = 3x + 10,m∠CAB=3x+10, m∠ABD=2y,m\angle ABD = 2y,m∠ABD=2y,…
- ABCDABCDABCD is an isosceles trapezoid where ABABAB and CDCDCD are parallel. We also know that m∠CAB=3x+10,m\angle CAB = 3x + 10,m∠CAB=3x+10, m∠ABD=2y,m\angle ABD = 2y,m∠ABD=2y,…
- Trapezoid WXYZWXYZWXYZ is an isosceles trapezoid where WX‾∥YZ‾\overline{WX} \parallel \overline{YZ}WX∥YZ and m∠WXY=115∘.m\angle WXY = 115^{\circ}.m∠WXY=115∘. What is the measure…
- Trapezoid WXYZWXYZWXYZ is an isosceles trapezoid where WX‾∥YZ‾\overline{WX} \parallel \overline{YZ}WX∥YZ and m∠WXY=115∘.m\angle WXY = 115^{\circ}.m∠WXY=115∘. What is the measure…
- Suppose ABCDABCDABCD is an isosceles trapezoid where AB‾∥CD‾\overline{AB} \parallel \overline{CD}AB∥CD and the angle measures in degrees are represented in terms of variables x,…