Circle Things
Properties
You need this property to solve it.
Mrs. Gauthier
Draw the Diagram
100
This is the line segment going from the center of the circle to its circumfrence.
What is the radius?
100
The perpendicular from the center of the circle that bisects the chord.
What is Perpendicular to Chord Property 1?
100
You need this to find <OAB.
Follow-up: What is <OAB?
What is the tangent radius property?
<OAB=90deg
100
This is Mrs. Gauthier's first name.
What is Isabelle?
100
Perpendicular to Chord Property.
All three elements of the property must be labeled.
Label the bisection, the center and the 90deg.
200
This is the line that connects the circumference to circumference running through the center of the circle.
What is the diameter?
200
A tangent to a circle is perpendicular to the radius at the point of tangency.
What is the Tangent-Radius Property?
200
This diagram illustrates this property.
Follow up: What are x and y (in degrees)?
What is the Perpendicular to Chord Property?
x= 33deg, y=57deg
200
This is how many children Mrs. Gauthier has.
What is 3?
200
The Tangent Radius Property
Lable at least 3 elements on the diagram
Label the point of tangency, the center, the right angle, the tangent, the radius
300
A line that intersects a circle at one point.
What is a tangent?
300
The perpendicular bisector of a chord in a circle passes through the center of the circle.
What is Perpendicular to Chord Property 2?
300
These two theorems are necessary to solve for the length of side a.
Extension: What is angle OPQ?
What is the Radius Property and the Pythagorean Theorem?
a = 5
300
Cats or dogs, AND favorite flavour ice cream.
Cats
Mint chip (the only kind worth eating).
300
This is how two tangents can be used to find the center of a circle.
400
A line segment that joins two points on a circle.
What is a chord?
400
The length of the hypotenuse of a right triangle is equal to the square root of the sums of the squares of the other two sides.
*Correct spelling required*
What is the Pythagorean Theorem?
400
Answer must include a diagram.
What is 16.6cm?
400
This is a card game that Mrs. Gauthier likes to play.
Cribbage, Kaizer, Canasta
400
A circle has diameter of 32cm. There is a chord 20cm long. Label the length of the bisector.
Follow up: What property does this demonstrate?
Perpendicular to chord property
500
This is the name of the line that runs from the center of a circle to a chord, intersecting the chord at 90 degrees.
What is a perpendicular bisector?
500
Perpendicular to Chord property 3
What is a line that joins the centre of a circle and the midpoint of a chord is perpendicular to the chord.
500
A pedestrian underpass is constructed using a cylindrical pipe of radius 2.6m. The bottom of the pipe will be filled and paved. The headroom at the center of the path is 3.9 ms.
How wide is the path?
What properties did you use?
Answer must include a diagram.
4.5m
500
This name, beginning with the letter 'P', is Mrs. Gauthier's middle name.
What is Pauline?
500
You win 500 points!
Woop woop