8 4 PROPERTIES OF CYCLIC QUADRILATERALS CQ Copyright

EX: GIVEN THAT THE RADIUS OF THE CIRCLE IS 15 CM, FIND THE PERIMETER

I) WHAT IS A CYCLIC QUADRILATERAL Quadrilateral: a polygon with four sides Square, rectangle,

II) PROPERTIES OF A CQ Opposite interior angles in a CQ add to 180

PROOF: OPPOSITE ANGLES IN A CQ ARE SUPPLEMENTARY Prove: © Copyright all rights reserved

EX: FIND & NAME ALL THE CQ’S © Copyright all rights reserved to Homework

EX: DETERMINE THE VALUE OF EACH ANGLE © Copyright all rights reserved to Homework

Exterior angles: angles created by the extension of one side Exterior Angle The

PRACTICE: DETERMINE THE VALUE OF EACH ANGLE © Copyright all rights reserved to Homework

CHALLENGE: DETERMINE THE VALUE “X” & “Y” © Copyright all rights reserved to Homework

HOMEWORK: P 419 # 3 – 14 © Copyright all rights reserved to Homework

Slides: 11

Download presentation

EX: GIVEN THAT THE RADIUS OF THE CIRCLE IS 15 CM, FIND THE PERIMETER OF THE HEXAGON. The interior angle of each triangle is 60 Each triangle is also an equilateral triangle The perimeter of the hexagon will be the base x 6 © Copyright all rights reserved to Homework depot: www. bcmath. ca

I) WHAT IS A CYCLIC QUADRILATERAL Quadrilateral: a polygon with four sides Square, rectangle, parallelogram, trapezoid…. . The sum of all the interior angles is equal to 360 degrees Cyclic Quadrilateral (CQ) A quadrilateral with all four vertices (corners) on the circumference of the circle © Copyright all rights reserved to Homework depot: www. bcmath. ca

II) PROPERTIES OF A CQ Opposite interior angles in a CQ add to 180 degrees If ABCD is a CQ If opposite angles are “Supplementary” Then opposite angles must be “Supplementary” Then ABCD must be a CQ © Copyright all rights reserved to Homework depot: www. bcmath. ca

Exterior angles: angles created by the extension of one side Exterior Angle The Exterior angle is equal to the opposite interior angle © Copyright all rights reserved to Homework depot: www. bcmath. ca