Circle Geometry

Major and Minor Arcs F

 An Arc is considered major when it more than a semi-circle.

 An Arc is considered minor when it is less than a semi-circle. T

 Label the major and minor arcs in the diagram provided.

Remembering Triangle Geometry

 Name each type of triangle

 Use symbols to indicate facts about each side length, any right angles and measurements of angles

Congruent Chords  If two chords of a circle are congruent, then they have central angles which are equal in measure.  If two chords of a circle are congruent, then their intercepted arcs are congruent.  Two congruent chords in a circle are equal in distance from the center.

Working it:

 In order to complete the following questions, you must combine your newly acquired knowledge about circles and their angles, with your previous knowledge about triangles and their angles.

 When you are asked to justify your answers, you are required to provide an explanation for your response.

Textbook: page 383-384 complete # 10, 11, 12, 13, 14, 15 Circle Geometry

Perpendicular Bisectors

 In your own words, describe the meaning of perpendicular:

 What happens when an object is “bisected”?

 Putting your responses from the above questions together, create a statement that you believe accurately describes what a perpendicular bisector does to a line segment.

o Illustrate below with the provided line segment AB

o What is true about the angle formed at the intersection between the line segment and the perpendicular bisector?

A

B

 What do you think happens when an angle is bisected?

Do you think that the statement is true for all perpendicular bisectors of all chords in a circle? ______

Will perpendicular bisectors of two different chords intersect at the centre of a circle? ______Circle Geometry

J Examples done together

J Homework: page 389: 1 - 5