Unit One Lesson Seven
Lesson seven introduced us to 2 new constructions, constructing congruent angles and constructing an angle bisector. To construct a congruent angle, you need to start by labeling 3 points on the existing angle. Next, draw a ray and name it anything you'd like. After that, put the sharp end of your compass on the middle point and set it to one of the points on a ray. Draw an arc. Label the intersection of the arc you just drew and the original ray. Next. put the sharp end of your compass on the point that lies on the bottom ray and set the pencil tip to the point on the other ray. Draw another small arc. Label a point where the two arcs intersect. Draw a ray through the point you just drew. You have constructed a congruent angle. To construct an angle bisector, place the compass at the shared point of the two rays. Draw an arc crossing over both rays. Label these two points. Place the sharp end on one of the points you just drew, set it to a convenient length, and make a small arc. Do the same thing on the other point without changing the width of the compass. Draw a ray through where the two arcs intersect. The ray you just drew is your angle bisector.
The next part of the lesson was about classifying different types of angles. These are some of the angles we learned about:
The next part of the lesson was about classifying different types of angles. These are some of the angles we learned about:
- Straight angle (measures 180 degrees)
- Acute angle (measures less than 90 degrees)
- Right angle (measures exactly 90 degrees)
- Obtuse angle (measures greater than 90 degrees)
- Angle bisectors (divide an angle into two congruent angles)
- Adjacent angles (same plane, share one common side and one common vertex, but no common interior points)
- Linear pairs (adjacent angles whose noncommon sides form a line)
- Complementary angles (angles whose sum is 90 degrees)
- Supplementary angles (angles whose sum is 180 degrees)
- Vertical angles (two nonadjacent angles formed by two intersecting lines)