Download Arcs, triangles, bisectors and work

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.
 Label the major and minor arcs in the diagram provided.
T
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? ________
 Examples done together
 Homework: page 389: 1 - 5