See the attached PDF file for detailed instructions for this activity

Print pages 17 - 21 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

Draw a segment AB and construct its perpendicular bisector

Label the point of intersection of segment AB and the perpendicular bisector as C

Construct point D on the perpendicular bisector

Measure and record the lengths of AD and BD

Drag point D along the line and measure the lengths of AD and BD

Observe that the lengths od AD and BD remain equal for any position of point D

Observe that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment

Identify that the triangle formed by points A, B, and D is an isosceles triangle

Construct a segment AB

Measure the length of segment AB

With the same measure, create a segment AC

Connect points B and C to form an isosceles triangle

Move the vertex A and observe that point A is equidistant from point B and point C

Construct a perpendicular bisector of segment BC

Observe that point A lies on the perpendicular bisector of segment BC

Drag point A along the perpendicular bisector to verify the observation that a point which is equidistant from the endpoints of a segment, lies on its perpendicular bisector

Draw an angle and construct its angle bisector

Construct a point on the bisector in the interior of the angle

Measure the distance from this point to the rays of the angle

Identify that the distance from the point to each ray is equal

Drag the point along the bisector to verify this observation

Understand that a point that lies on the angle bisector of an angle, is equidistant from the sides of the angle

After the Activity

Review student results:

As a class, discuss questions that appeared to be more challenging