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.
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°
Learn More:
ABCD is a cyclic quadrilateral. AB is produced to E. It is given that ...
brainly.in/question/15399713
in the figure ABCD is a cyclic quadrilateral the tangents at the points ...
brainly.in/question/13340209
