Math 3395
Koppelman
HW # 2
Name__________________________
In problems 1 - 4 below, parallel lines are indicated. Find the measure of the angle
marked x in each.
1.
2.
x
49
x
42
3.
4.
50
x
150
5x
x
4x
Paper and pencil constructions
5. Construct a parallel through point S to line m. (Feel free to do this on a separate paper.)
S
m
6. Construct a triangle two of whose three angles have the same measure as A.
A
Problems 7 and 8 below are to be completed using Geometer’s Sketchpad. Please email
your constructions as attachments to ckoppelm@kennesaw.edu by noon on the day of our
next class. Please include your name on your sketch.
7. Using Geometer’s Sketchpad
a. Construct the diagram shown below, in which two pairs of line segments are parallel.
(The letters a, b, and x do not need to appear on the sketch.) Please include a
hard-copy of the sketch when you turn in this assignment.
b. Use the measurement tool to display the measures of the angles marked a, b and x.
c. Make a conjecture about the relationship between the measures of the three angles.
d. Explain why your conjecture will always be true.
x
a
b
8. Using Geometer’s Sketchpad
a. Construct the diagram below, in which AC is parallel to BD . Your diagram should
look exactly like the one shown.
b. Use the measurement tool to display the measures of BCD, ADC, A, and B.
c. Display the sum of the measures of these four angles.
d. Use your cursor to move point B. Does the sum change?
B
A
C
D