Page 212 - ABCTE Study Guide_Neat
P. 212
Practice, Practice, Practice:
If , what is the measure of ?
A 40°
B 45°
C 50°
D 60°
Answer
The correct answer is C. Because and and are vertical angles, then
. Because the sum of the measures of the angles in a triangle is 180°, then the measure
of is 180° - (40° + 90°), or 50°.
Constructions
These tools are a typical compass and straight edge. They are the tools that you and your
students will use to construct simple geometric figures by hand. A compass is used for
drawing arcs and circles and for copying lengths. The straight edge is used only to draw
straight lines. While a ruler is typically used as a straight edge, it will not be used to measure
lengths during constructions.
Given a line segment, how would you construct the midpoint and perpendicular
bisector of that segment using a compass and a straight edge?
Follow these steps: