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Math 102, Activities
Pre-class work: (Read the last half of 9.1, (subheadings Angles, Angles Measurement, Types of Angles, and Perpendicular
Lines, and A Line perpendicular to a plane), then read section 9.3, stopping at the heading Constructing Parallel Lines.)
(1) Describing angles Complete each of these definitions. For each term defined, draw an example of the thing. (a) What is an angle?
(b) What does the vertex of an angle refer to?
(c) Two angles are adjacent if they share...
(d) What is a degree?
(e) What is a radian?
(f) Two angles are supplementary if they...
(g) Two angles are complementary if they...
(h) What is a right angle?
(i) What is an acute angle?
(j) What is an obtuse angle?
(2) 3-Angles.doc, number 1.
Classroom work:
(3-Angles.doc, remainder.)
Pre-class work: (Page 602 may be helpful)
(1) Describing angles Complete each of these definitions. For each term defined, draw an example of the thing.
2
(a) What are vertical angles?
(b) What are alternate interior angles?
(c) What are alternate exterior angles?
(d) What does it mean to say that two angles are congruent?
(2) (vertical) Draw two lines which create vertical angles, and measure them with your protractor to verify that they are congruent.
(3) (alternate interior angles, parallel) Draw two parallel lines cut by a transversal. Identify and label alternate interior angles, and measure them both with your protractor. Verify that they are congruent by direct measurement.
(4) (alternate interior angles, nonparallel) Draw two nonparallel lines cut by a transversal. As above, identify and label alternate interior angles, and measure them. Verify that they are no longer congruent. are congruent by direct measurement.
(5) (alternate exterior angles, both cases) Look back at exercises 3 and 4, and locate alternate exterior angles instead. Verify that they, too, are congruent in the parallel case and noncongruent in the nonparallel case. Can you see how the alternate exterior angles are vertical to alternate interior angles?
(6) Draw a non-horizontal straight line from the left side of this paper to the right. (You can do this by folding the page.) Identify four angles that it makes with the edges of the page. Which are equal to each other? Why?
(7) In the picture below, identify and label all pairs of congruent angles.
Classroom work:
