Explain how you can find the centre of a circle if you are given three points on the circumference. Use a drawing to support your answer.

What are the measures of \angle{a}, \angle{b}, and \angle{c}? How do you know?

Draw a triangle that has two complementary angles. Label the measure of each angle.

The shaded shape in the diagram is a trapezoid.

How many pairs of corresponding angles are in the diagram?

The shaded shape in the diagram is a trapezoid.

Which angles inside the trapezoid are supplementary?

The shaded shape in the diagram is a trapezoid.

What is the sum of the interior angles of the trapezoid?

What are the measures of \angle{a}, \angle{b}, \angle{c}, and \angle{d}?

One angle in a triangle measures 98°. Another angle measures 37°.

a) What is the measure of the third angle?

b) How did you determine your answer in part a)?

c) Classify the triangle.

An isosceles triangle has one angle that is 94°.

a) Draw the triangle. Label the measures of all the angles.

b) Reflect the triangle about its sides. What types of quadrilateral did you draw?

c) What are the measures of the angles at which the diagonals meet in each case?

Calculate the length of the unknown side in each right triangle, to one decimal place.

Calculate the length of the unknown side in each right triangle, to one decimal place.

Draw a right triangle that has the 90° angle between 6 cm and 8 cm sides. What is the length of the third side? How do you know without measuring?

When travelling along King Street or Queen Street, the distance between any two parallel streets is always about 1.42 km.

How much greater is the distance along. Park Street from King Street to Queen Street than the distance along Albert Street from King Street to Queen Street?