# Triangle Explorations

1. ### Triangle Worksheets

A. Triangle Construction

1. Please complete the following excercises, and use the information to fill in the worksheets provided by your instructor. Use Geometers' Sketchpad to construct a triangle.Label it ABC. This will be the triangle that you work with for the entire excercise.

2. Measure the angles of your triangle. Hint: Look at your worksheet. If you use the same notations, in the same order as the chart on your worksheet, you will find this excersize easier.Hint
3. Measure the segments of your triangle.
4. Measure the sum of angle ABC and angle BCA.
5. Measure the sum of all three angles

Use Triangle ABC to create a right triangle. Select one vertice at a time and drag it around until you have created a right triangle.

Use your drawing to fill out the chart and record observations.

 Measurments Fill in the Blanks Angle ABC Angle CAB Angle BCA Line AB Line CB Line AC Angle ABC + Angle BCA Angles ABC+BCA+CAB

Right Triangle Observations: example of an observation

Use Triangle ABC to create an isosceles triangle. Select one vertice at a time and drag it around until you have created an isosceles triangle.

Use your drawing to fill out the chart and record observations.

 Measurments Fill in the Blanks Angle ABC Angle CAB Angle BCA Line AB Line CB Line AC Angle ABC + Angle BCA Angles ABC+BCA+CAB

Isosceles Triangle Observations:

Use your drawing to fill out the chart and record observations.

 Measurments Fill in the Blanks Angle ABC Angle CAB Angle BCA Line AB Line CB Line AC Angle ABC + Angle BCA Angles ABC+BCA+CAB

Equilateral Triangle Observations:

Use your drawing to fill out the chart and record observations.

 Measurments Fill in the Blanks Angle ABC Angle CAB Angle BCA Line AB Line CB Line AC Angle ABC + Angle BCA Angles ABC+BCA+CAB

Scalene Triangle Observations:

Final Conjecture:

Did you notice anything that was true of all triangles? Use Geometer's Sketchpad to test your conjecture for any triangle you can create.

Teacher's Notes