a) Which angles are equal?

b) What name is used to describe these angles?

If AB || CD and \angle{1}=82°, what are the measures of the other seven angles?

Which angles are supplementary to \angle{a}? How do you know?

What is the measure of the marked angle?

a) Is this a right triangle? Explain how you know.

b) If you rotate the triangle 180° about the midpoint of its longest side, what type of quadrilateral is formed?

c) How can you use your answer to part b) to predict whether or not the diagonals will meet at a 90° angle?

A square that is drawn on the hypotenuse of a right triangle has an area of 25 cm^2. What are possible lengths of the legs? Explain your thinking.

Draw each shape. Then determine the missing value, without measuring.

an acute angled triangle with a 50° angle, a 45° angle, and an angle that measures __

Draw each shape. Then determine the missing value, without measuring.

a right triangle with a 4.0 cm side, a 7.0 cm side, and a hypotenuse that measures __ cm

Draw each shape. Then determine the missing value, without measuring.

an isosceles triangle with two 6.0 cm sides that have a 150° angle in between, and equal angles that measure __

Draw each shape. Then determine the missing value, without measuring.

a parallelogram made of two right triangles, both with a 12° angle and an angle that measures __

Two cyclists start at the same location. Cyclist A travels 5.5 km, turns left 90°, and travels 3.4 km. Cyclist B travels 3.4 km, turns right 90°, and travels 5 km. (All distances are in straight lines.)

a) If both cyclists turn and ride directly back to the start in a straight line, who will have farther to ride?

b) What calculations do you have to make to determine the answer to part a)?

c) Why was it important to know that the cyclists turned at an angle of 90°?