1. Write on only one side of an A4 sheet. Make a neat cover page.
Topic: Cyclic Quadrilaterals
Draw three congruent circles. Draw a scalene quadrilateral (all four sides are of
different measures) in each of the circle such that
Case 1: Vertices of the quadrilateral lie in the interior of the circle.
Case 2: Vertices of the quadrilateral lie on the circle.
Case 3: Vertices of the quadrilateral lie outside the circle.
Measure all the four angles of the quadrilaterals in each case using a
protractor. Find the sum of the pair of opposite angles.
Give a write up of your experience on completing this activity as well as on
your findings.
Answers
Given : Three congruent circles.
To Find : Draw a scalene quadrilateral
Case 1: Vertices of the quadrilateral lie in the interior of the circle.
Case 2: Vertices of the quadrilateral lie on the circle.
Case 3: Vertices of the quadrilateral lie outside the circle.
Solution:
Take 3 points
Use suitable compass width
Draw one by one 3 circles using points as center and draw circles keeping compass width same
Draw scalene quadrilateral
Case 1: Vertices of the quadrilateral lie in the interior of the circle.
Sum of the pair of opposite angles is not 180°
Case 2 : Vertices of the quadrilateral lie on the circle.
Sum of the pair of opposite angles is 180°
these Quadrilaterals are called cyclic Quadrilateral
and sum the pair of opposite angles is always 180°
Case 3: Vertices of the quadrilateral lie outside the circle
Sum of the pair of opposite angles is not 180°
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Step-by-step explanation:
★Question ::-
Draw three congruent circles. Draw a scalene quadrilateral (all four sides are of
different measures) in each of the circle such that
Case 1: Vertices of the quadrilateral lie in the interior of the circle.
Case 2: Vertices of the quadrilateral lie on the circle.
Case 3: Vertices of the quadrilateral lie outside the circle.
★Given ::-
There are 3 congruent circles
★Solution ::-
take three points
uses treatable compass width
draw one by one 3 circles using point as centre and draw circles keeping compass witdth same
draw scalene quadrilateral
✥ No.1
Vertices of the quadrilateral lie in the interior of the circle
Sum of pair of opposite angle is not 180°
✥ No.2
Vertices of the quadrilateral lie on the circle
Sum of the pair of opposite angles is 180° these quadrilaterals are called cyclic quadrilateral the sum the pair of opposite angles is always 180°
✥ No.3
Vertices of the quadrilateral lie outside the circle.
Sum of the pair of opposite angles is not 180°
Hope it helpfu ☺️