1. Complete the table below for Key Geometry Concepts, by filling in the blanks.

Key Geometry Concepts

A circle is a set of points that are a __________________ from a given point, the centre. The ______________ of a circle is a chord passing through the circle's centre.

A chord is a __________ ____________ inside a circle that joins two points on the _______________ of the circle. A ______________ is a chord that passes through the centre of the circle.

The further the chord is from the _______________the shorter its length. Chords that are equidistant from the centre are ___________ in length.

Any line from the circle's _______________ to the chord's midpoint is perpendicular to the chord. It is called a _________ _____________.

An __________is a section of the circumference of a circle that joins two points on the circle. The length of any __________ will be a fraction of the circumference.

A tangent to a circle is a line segment that _______________ the circle at ____ point. A secant to a circle is a line segment that _______________ the circle at _____ points.

A tangent to a circle is ____________________ to the radius at the point of tangency. Tangent segments are _________ in ___________ when drawn from a point outside the circle.

An _____________ __________ is an angle in a circle with its vertex on the circle. Any ______________ ____________ on the diameter is 90o.

A central angle is formed by two _____________ of a circle. A central angle is always ______________ the measure of an inscribed angle subtended from the same arc, or chord.

A sector is the area enclosed by two ___________ of a circle and the _______ that connects the endpoints of the ___________. The _______ of a sector will be a fraction of the circle's area. The area of a sector is ________________ related the length of the arc subtending the sector.

Equal chords subtend equal ____________ angles and equal ______________ angles. If two inscribed angles are on the same chord and are on the _________ _______ of the chord, the angles are equal.

A segment is formed between a ___________ and a _________.

For prisms and cylinders, the volume can be found by multiplying the _________ __________ by the _______________.

It is important to make sure all measurements are in the _________ __________ before calculating area, volume, perimeter, or surface area.

________, which show an object unfolded, can be used to help visualize the faces of a 3D object. This assists when determining ___________________ ________ of the object, since it is the sum of the areas of all faces on the object.

The imperial system uses ___________, __________, and ___________ for length. The metric system uses units based on multiples of ________. For example five ____________ will equal __________ _______________ or __________ ________________.

Thinking and Communication

2. Show a composite shape that you could divide up multiple ways to find its area.

(illustrate at 3 different ways to divide it up and label dimensions of each division)

3. Indicate clearly (trace or outline or label) on the wheel below where the following are located: radius, central angle, arc, sector, diameter.

4. Describe and show how you could draw a circle precisely through the 3 vertices of a triangle.

Application and Communication (Round answers to nearest tenth of a unit)

5. What is the arc length between the hour hand and minute hand of an analog clock at

10:10? Why might this be a common time for clock makers to use for images of their clocks?

6. For the wheel of emotion above, determine the area of each petal's sector of the inner circle, if the radius of the middle circle is 6cm and the area of each ring is identical to the area of the inner circle.

7. A sphere and a cube have the identical volume of 3375cm3. Will they also have an identical surface area? Justify your answer.

8. Dirt must be excavated for the foundation of a new building 20m by 35m to a depth of 5 metres. How many trips will it take to haul the dirt away if two tandem dump trucks with a capacity of 58.6 m3 are available?