Bluebonnet Module 2 - Topic 1 - Lesson 4
Angle Bisectors
Create an angle bisector for angle ABC.
Place point D on the angle bisector.
Create a line from the point perpendicular to the sides of the angle.
Mark points E and F where the perpendicular lines intersect the sides of the angle.
Measure the lengths of segments DE and DF.
Measure the lengths of segments BE and BF.
Measure angle DBE and angle DBF.
Measure angle BDE and angle BDF.
Angles in Angle Bisectors
What do you notice about the angle measures?
Segments in Angle Bisectors
What do you notice about the lengths of the segments?
Perpendicular Bisectors
Create the perpendicular bisector for segment AB.
Label the point of intersection C.
Create point D on the perpendicular bisector.
Measure the lengths of AD and BD.
Measure angle CAD and angle CBD.
Move point D and observe the changes in the measures.
Segments in Perpendicular Bisectors
What do you notice about the lengths of segments AD and BD?
Angles in Perpendicular Bisectors
What do you notice about the measures of angle CAD and angle CBD?