Cyclic Quadrilateral Worksheet
Explore properties of cyclic quadrilaterals, including angles and opposite angles, with this Grade 9 geometry worksheet.
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Cyclic Quadrilateral Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work where necessary.
1. Which of the following is true for a cyclic quadrilateral?
Opposite sides are parallel.
Opposite angles are supplementary.
All sides are equal.
All angles are equal.
2. If one angle of a cyclic quadrilateral is 80 degrees, what is the measure of its opposite angle?
80 degrees
90 degrees
100 degrees
180 degrees
3. A quadrilateral whose all four vertices lie on a circle is called a .
4. The sum of opposite angles in a cyclic quadrilateral is always degrees.
5. In the cyclic quadrilateral ABCD shown below, if angle A = 70 degrees, find the measure of angle C.
6. A cyclic quadrilateral has angles in the ratio 1:2:3:4. Find the measure of each angle.
7. All rectangles are cyclic quadrilaterals.
True
False
8. A parallelogram is always a cyclic quadrilateral.
True
False
9. Prove that the exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.