Wingeom Angles & Arcs 2



Wingeom Angles & Arcs 2

Consider the diagram below. In the circle on the left you will find two secants intersecting a circle. Your assignment is to demonstrate that the measure of the angle of intersection is one-half the difference of the measures of the intercepted arcs. In the circle on the right you will find a tangent and a secant. Your assignment is to demonstrate that the measure of the angle of intersection, once again, is one-half the difference of the measures of the intercepted arcs.

Construct Circle Centered at A with Radius AB

Put the mouse in the Btn/Segment mode. Using the right mouse button, place point A and B on the screen. If you do not see the little circles that represent points, do Edit/labels/offset. On the command bar select Circle/Radius-center. In the pop-up frame, complete the information: centered at A, (●) circle through point B, draw and close.

Construct the Two Secants

With the mouse in the Btns/Segment mode, using the right mouse button, very carefully place points C, D, and E (not F and I!). Connect D to C (if you do C to D the order of further labels in this document will be changed) and C to E, in the usual manner.

Determining F and I

From the command bar, select Point/Intersection/Mixed. Fill in the information: line DC and highlight center A; through B; mark. Repeat this technique for CE and close.

Determine the Relationship between the Angle and the Intercepted Arcs

On the command bar select Meas. Type ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download