Label the Major and Minor Arcs in the Diagram Provided
Circle Geometry
Major and Minor ArcsF
- 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
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.
- Illustrate below with the provided line segment AB
- 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