Download angle - nimitz49

Troy borrowed money from his
father so that he could buy a used
car. The table shows the remaining
balance, b, of Troy’s loan after each
payment.
Which function can be used to
describe this relationship?
A b = 3910 – 225p
B b = 4135 – 225p
C b = 2785 + 225p
D b = 3685 – 225p
Obj 1 - TAKS 2004 10th [A.B1(B)]
Problem #8
Engage Learning!
• Fill out the Graphic Organizer with
as many examples as you can
before the next part of the lesson
starts.
Can someone Explain this?
• Watch the Brain Pop and fill in the
Vocabulary activity while you
watch.
• When the Brain Pop is over,
complete as much of the Word
Find as you can before the next
part of the Lesson.
What is an Angle?
An angle is a figure formed by two rays, or
sides, with a common endpoint called the
vertex (plural: vertices). You can name an
angle several ways: by its vertex, by a
point on each ray and the vertex, or by a
number.
Check It Out! Example 1
Write the different ways
you can name the angles
in the diagram.
RTQ, T, STR, 1, 2
The set of all points between the sides of the
angle is the interior of an angle. The exterior
of an angle is the set of all points outside the
angle.
Angle Name
R, SRT, TRS, or 1
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 all three points to name the
angle, and the middle point is always the vertex.
Example 2: Measuring and Classifying Angles
Find the measure of each angle. Then classify
each as acute, right, or obtuse.
A. WXV
mWXV = 30°
WXV is acute.
B. ZXW
mZXW = |130° - 30°| = 100°
ZXW = is obtuse.
Types of Angles
Angle & Segment Addition
Postulates
Test this out with a ruler and spagetti!
Spaghetti Snapping
or
Segment Addition Post
• Use the edge of the TAKS chart to measure
your Spaghetti in cm.
• Break your Spaghetti into two pieces that are
not the same length.
• Measure each of the lengths separately.
• Add the lengths of those smaller pieces
together.
• Do they add up the length of the original
piece?
Angle Addition Post.
If you have two pieces of pizza and
someone takes one, then puts that entire
piece back, do you have as much pizza
as you did before?
Check It Out! Example 3
mXWZ = 121° and mXWY = 59°. Find mYWZ.
mYWZ = mXWZ – mXWY  Add. Post.
mYWZ = 121 – 59
Substitute the given values.
mYWZ = 62
Subtract.
An angle bisector 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.
DON’T FORGET!
• COMPLETE YOUR EXIT TICKET
AND DROP IT INTO THE BASKET
ON YOUR WAY OUT OF THE
ROOM!