GEOMETRY a Geosketchpad Power Theorem Project

GEOMETRY A GeoSketchpad – Power Theorem Project

Name:______Date:______

CHORD-CHORD POWER THEOREM

Directions:

1.  Create a circle and two intersecting chords labeled AB and CD. Label the point of intersection E.

2.  Measure (and record your data) the following:

AE=____ EB=______

CE=____ ED=______

3.  Find the Product of AE and EB and the product of CE and ED. Record your results

AE*EB= ______CE*ED = ______

4.  Create a new circle, larger or small than your original and repeat the process.

Q1: What do you think the Chord-Chord Power Theorem is?

Q2: What happens if the chords are diameters?

SECANT-SECANT POWER THEOREM

Directions:

1.  Create a circle and then create two secant segments from one exterior point on the circle

2.  Label the segments as below:

3. Find the following measurements:

AB = ______AC = ______

AD = ______AE = ______

3.  Find the relationship between the above measurements.

Hint: Think products

Q1: What do you think the Secant-Secant Power Theorem is?

SECANT-TANGENT POWER THEOREM

Directions:

1.  Create a circle

2.  Create a secant and tangent to the circle from the same exterior point. Be very careful creating the tangent segment, begin by forming the radius and then create a perpendicular line.

3.  Label as follows:

4.  Find the following measurements:

AB = ______AC = ______

AD = ______

5.  Write what you think the secant-tangent power theorem is on your sketch and then drop the sketch into my inbox. (make sure your name is on the sketch)