1.5 Angles (Drawing, Labeling, Measuring, Classifying) 2016 EXPORT
1
September 14, 2016
Mental Floss: Tuesday Sept 13th
W X YX is the midpoint of WY. Find the two possible values of WY.
Mental Floss: Wednesday Sept 14th
C U B
You are given the following information:
• , , and
Find the CU and UB.
1.5 Angles
Lesson Objectives
• Name Angles
• Measure and classify angles
• Identify congruent angles
• Use the Angle Addition Postulate to find angle measures
• Bisect Angles
AnglesAn angle is a set of points consisting of two different rays that have the same endpoint, called the vertex. The rays are the sides of the angle.
Naming Angles
1.
2.
3.
4.
Classifying Angles
Acute:
Right:
Obtuse:
Straight:
1.5 Angles (Drawing, Labeling, Measuring, Classifying) 2016 EXPORT
2
September 14, 2016
Interior of angle = The region containing all the points between the sides of the angle.
Exterior of angle = The region containing all the points outside the angle.
Congruent Segments = Segments with the same length or measure.
1.
2.
3. Tick marks
A B
X Y
Congruent Angles = Angles with the same measure.
1.
2.
3. Tick marks G
H
Segment Addition Postulate =
• If B is between A and C, then AB + BC = AC.
• If AB + BC = AC, then B is between A and C.
Angle Addition Postulate =
• If P is on the interior of , then the measure of is equal to the sum of the measures of and .
1.5 Angles (Drawing, Labeling, Measuring, Classifying) 2016 EXPORT
3
September 14, 2016
1.5 p.43
• #6,7,914 (Day 1)
• #21,23,25,28,30,34,38,48,54 (Day 2)
• Cut out #44,56
• Due Thursday 9/15