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HW-1.3 Practice B (2-10), pg. 27 (46-50)
Summer Packet and 1.1-1.3 Quiz WED 9-10-14
www.westex.org HS, Teacher Website
9-8-14
Warm up—Geometry H
1. If a point bisects a segment what is another
name for the point?
2. Explain why any two right angles are congruent.
3. List the 4 ways this angle can be named.
A
B
1
C
GOAL:
I will be able to:
1. name and classify angles.
2. measure angles and angles that are bisected.
3. construct segments and bisect segments.
4. construct angles and bisect angles.
HW-1.3 Practice B (2-10), pg. 27 (46-50)
Summer Packet and 1.1-1.3 Quiz WED 9-10-14
www.westex.org HS, Teacher Website
Name ______________________
Geometry H
1.3 Measuring Angles
GOAL:
I will be able to:
1.
name and classify angles.
2.
measure angles and angles that are bisected.
An __________ is formed by two rays, or sides, with a
COMMON ENDPOINT called the __________.
The set of all points BETWEEN the sides of the angle is
the ____________ ___ ___ __________.
The set of all points OUTSIDE the angle is the
____________ ___ ___ __________.
EXAMPLE 1—Naming Angles
Name 3 DIFFERENT angles in the picture to the right.
___________
__________
__________
EXAMPLE 2—Measuring and Classifying Angles
Find the measure of each angle. Then classify each as
acute, right or obtuse.
a. BOA
b. DOB
c. EOC
Date _______
_________________________ are angles that have the
same measure. In the diagram, mABC = mDEF so
ABC  DEF. __________ are used to show that two
angles are congruent.
EXAMPLE 3—Using the Angle Addition Postulate
mDEG = 115°, and mDEF = 48°. Find mFEG.
YOU TRY:
(DRAW A PICTURE!!!)
K is in the interior of LMN, mLMK =52°, and mKMN = 12°. Find mLMN.
An __________ ____________ is a ray that divides an angle into two congruent angles.
JK bisects LJM; thus LJK  KJM.
EXAMPLE 4—Finding the Measure of an Angle
KM bisects JKL, mJKM = (4x + 6)°, and
mMKL = (7x – 12)°. Find mJKM.
YOU TRY:
(DRAW A PICTURE!!!)
JK bisects LJM, mLJK = (-10x + 3)°, and
mKJM = (–x + 21)°. Find mLJM.
1.2 and 1.3 Constructions
GOAL:
I will be able to:
1.
construct segments and bisect segments.
2.
construct angles and bisect angles.
The construction below also finds the midpoint of the segment (the point of
intersection of the perpendicular bisector and the original line segment.)