Download Day 4 - Angles TERM NAME DIAGRAM Angle The interior of an

Day 4 - Angles
TERM
NAME
DIAGRAM
Angle
The interior of an angle is
.
The exterior of an angle is
.
You cannot name an angle just by its vertex, if the point is the
vertex of more than one angle. In this case, you must use three points to name the angle.
E
1
D
2
H
F
Give two other names for 1 .
The measure of an angle is usually given in degrees.
Acute Angle
Right Angle
Obtuse Angle
Straight Angle
Day 4 - Angles
Find the measure of each angle. Then classify.
a. WXV
b. ZXW
Congruent angles are
.
Ark Marks are used to show that two angles are congruent. Write two true statements about the
diagram above.
What is congruent?
What is equal?
An angle bisector is
.
In the diagram,
bisects
; thus
.
What is congruent?
Construct an angle congruent to A .
Construct the angle bisector of A .
Day 4 - Angles
Write the Angle Addition Postulate on your postulate sheet.
Connecting Algebra to Geometry
Remember the steps?
Problem #1
D is in the interior of ABC .
mABD  67 and mABC  105 . Find
mDBC .
Problem #2
T is in the interior of PQR .
mPQR  (10 x  7) , mRQT  (5 x ) , and
mPQT  (4 x  6) . Find mPQT ,
mRQT , and mPQR .
Problem #3
BD bisects ABC , mABD  (6 x  3) ,
and mDBC  (8 x  7) . Find mABD ,
mDBC , and mABC .
Day 4 - Angles
Homework:
1. What is measure of the angle below?
Construct an angle congruent it to the right.
2.
Classify it.
Draw an angle that is 70o. Then, construct the angle bisector.
For questions 3 - 5, follow the steps from Connecting Algebra and Geometry on the previous
page.
3.
L is in the interior of JKM . mJKM  82.5 and mJKL  56.4 . Find mLKM .
4.
SP bisects RST . mRSP  (3 x  2) and mPST  (9 x  26) . Find mRSP ,
mPST , and mRST .
5.
BD bisects ABC . mABC  (4 x  5) and mABD  (3 x  1) . Find mABD ,
mDBC , and mABC .