Friday, March 5, 2010

17.1 Congruent Segments and Angles (p.376-379)

I. Congruent: Exactly the same is size and shape
A. Segments: Make congruent line segments by using a compass to measure the length of the original line segment and then marking the same distance with your compass on a ray.
B. Angles: Build a congruent angles using a straight edge and compass
1. Draw a ray
2. Draw an arc through the original angle
3. Draw the SAME arc through the ray - label the point of intersection
4. Use a compass to measure the distance between the rays in the original angle
5. Using the same compass opening, mark the distance on the arc through the ray
6. Draw a ray from the endpoint in the original ray through the x formed by the arcs in steps 2 and 5

Monday, March 1, 2010

16.6 Circles p.368-369

I. Circle is all the points that are the same distance from a center point – this means every point in a circle is the same distance from the center.
II. Lines through a circle: labeled the same way as line segments – with a line above the two letters
A. Radius: a line segment with one endpoint at the center and the other endpoint on the circle
B. Chord: Line segment with both endpoints on the circle
a. Diameter: a chord that goes through the center of the circle
i. A diameter is twice the length of the radius
ii. A diameter is the longest chord that can be made in a circle

Here is an explanation on how to use a compass from mathsteacher.com