Download Geometry Measurements 2

Subject Matter: Measuring Angles
Objective: TSWBAT find and compare the measures of angles.
Standards:
G-1.10 Demonstrate an understanding of geometric relationships
(including constructions through investigations by using a variety of
tools such as straightedge, compass, Patty Paper, dynamic geometry
software, and handheld computing devices).
G-1.2 Communicate knowledge of geometric relationships by using
mathematical terminology appropriately
G-2.4 Use direct measurement to determine the length of a segment,
degree of an angle, and distance from a point to a line.
Problem 1
Naming Angles
Name the shaded angle in three different ways.
1.
3.
2.
4. What are two other
names for 1?
5. What are two other
names for KML?
Problem 2
Measuring and Classifying Angles
Find the measure of each angle. Then classify t he angle
as acute, right , obtuse, or straight .
1. AFB
2. AFD
3. CFD
4. BFD
5. AFE
Problem 3
Using Congruent Angles
Complete each statement.
1. MIG  _______
2. PMJ  _______
3. If mKJL  30, then m _____  30
4. If mLMP  100, then mQHG  _____
Problem 4
Using the Angle Addition Postulate
If point B is in the interior of ∠AOC then
m∠AOB + m∠BOC = m∠AOC.
1. If mRQT  55, what are mRQS and mTQS?
2. DEF is a straight angle. What are mDEC and mCEF?
3. If mFHI  142, what are mFHG and mGHI?
4. JKL is a right angle. What are mJKM and mMKL?
5. mCGD  4 x  2, mDGE  3x  5, mEGF  2 x  10.
Find the value of x and the measure of each angle.
6. mCGD  2 x  2, mEGF  37, mCGF  7 x  2.
Find the value of x, mCGD, and mCGF.
• Close the instruction by asking:
Q: How are degrees used to measure and classify
angles? [Degrees are used to measure angles based
on the definition that a full circle has 360 degrees. The
measurement of an angle in degrees is used to classify
angles as acute, right, obtuse, or straight.]
• Classwork: Do Practice: Measuring Angles From G
• Homework: Do # 2 – 22, even, pages 31-32 (textbook)