Effect on the paper

Activity 2

Objective:To investigate and deduce the properties of the angle bisector.

Back

Step 1:  On a sheet of paper, draw ∠ABC.

Next Step

Video

Step 2:  Construct the angle bisector of ∠ABC.

Step 3:  Mark a point on the angle bisector and label it as P. One example is shown in the diagram.

Final effect on the paper

Questions:  (a) What do you notice about the symmetry involving the angle bisector?(b) What can you deduce about △MPB and △NPB?(c) What can you say about the lengths MP and NP? Explain your answer.(d) Choose another point Q on the angle bisector and repeat the steps above. Does the property in (c) still hold?

Step 4:  Let N be the point on AB such that PM is perpendicular to AB. Let N be the point on BC such that PM is perpendicular to BC.Mark the points M and N in the diagram.

Step 5:  Fold along the angle bisector.

Step 6:  Fold along MP.