Cyclic Quadrilaterals Worksheet
Explore the properties of cyclic quadrilaterals, including opposite angles, exterior angles, and related theorems, with this Grade 10 math worksheet.
Includes
Standards
Cyclic Quadrilaterals
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following statements is true about a cyclic quadrilateral?
All sides are equal.
Opposite angles are supplementary.
Diagonals are perpendicular.
All angles are right angles.
2. In the cyclic quadrilateral ABCD shown below, if ∠A = 80° and ∠B = 110°, find the measures of ∠C and ∠D.
∠C =
∠D =
3. The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.
4. A quadrilateral can be cyclic if and only if the perpendicular bisectors of its sides are .
5. All rectangles are cyclic quadrilaterals.
True
False
6. A rhombus is always a cyclic quadrilateral.
True
False
7. A cyclic quadrilateral has angles (2x + 10)°, (3x - 20)°, (y + 30)°, and (2y - 10)°. Find the values of x and y.
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