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Theorem Related to Cyclic Quadrilateral Video Lecture - Class 9
FAQs on Theorem Related to Cyclic Quadrilateral Video Lecture - Class 9
| 1. What is a cyclic quadrilateral? |  |
Ans. A cyclic quadrilateral is a four-sided polygon that can be inscribed in a circle, which means that all its vertices lie on the circumference of a circle.
| 2. What is the sum of the opposite angles in a cyclic quadrilateral? | |
Ans. In a cyclic quadrilateral, the sum of the opposite angles is always equal to 180 degrees. This property is known as the cyclic quadrilateral theorem.
| 3. How can we prove that a quadrilateral is cyclic? | |
Ans. To prove that a quadrilateral is cyclic, we need to show that the opposite angles are supplementary (their sum is 180 degrees). This can be done by demonstrating that the quadrilateral can be inscribed in a circle.
| 4. What are some properties of a cyclic quadrilateral? | |
Ans. Some properties of a cyclic quadrilateral include:
- The opposite angles are supplementary.
- The sum of the interior angles is always 360 degrees.
- The exterior angle formed by extending one side of the quadrilateral is equal to the interior opposite angle.
- The perpendicular bisectors of the sides of a cyclic quadrilateral meet at a point on the circumference of the circle.
| 5. How can we use the properties of a cyclic quadrilateral to solve problems? | |
Ans. The properties of a cyclic quadrilateral can be used to solve various problems, such as finding missing angles or lengths. By applying the cyclic quadrilateral theorem and utilizing the relationships between the angles and sides, we can determine unknown values in the given problem.
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Nov 24, 2024 Last updated |
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