Draw a circle of radius 3 cm and draw its diameter and label it as AC. Construct its perpendicular bisector and let it intersect the circle at B and D. What type of quadrilateral is ABCD? Justify your answer.
Solution:
Given, radius of a circle is 3 cm.
Draw its diameter and label it as AC.
We have to construct a perpendicular bisector and let it intersect the circle at B and D.
We have to find the type of quadrilateral ABCD.
To construct the quadrilateral ABCD,
1. With center O and radius OC = 3 cm , draw a circle.
2. Join AC.
3. Draw a perpendicular bisector of AC that intersects the circumference of circle at B and D.
4. Join BD.
Therefore, ABCD is a cyclic quadrilateral.
✦ Try This: Draw a circle of radius 4 cm and draw its diameter and label it as PR. Construct its perpendicular bisector and let it intersect the circle at Q and S. What type of quadrilateral is PQRS? Justify your answer.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 194
Draw a circle of radius 3 cm and draw its diameter and label it as AC. Construct its perpendicular bisector and let it intersect the circle at B and D. What type of quadrilateral is ABCD? Justify your answer.
Summary:
A circle of radius 3 cm and its diameter labelled as AC. The perpendicular bisector intersects the circle at B and D. The type of quadrilateral ABCD is a cyclic quadrilateral.
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