Download Tuesday, Oct 30

Document related concepts
no text concepts found
Transcript
5 Minute Check
Solve. Complete in your notebook.
1. If two angles are complementary and one of them is
77°, what is the size of the other angle?
2. If two angles are complementary and one of them is 34°,
what is the size of the other angle?
3. Two angles are complementary and one of them is four
times as big as the other. What is the size of the larger of
the two angles?
4. There are six angles around a point. One of them is 45˚
and the other five are all the same. What is the size of one
of the five angles?
5 Minute Check
Solve. Complete in your notebook.
1. If two angles are complementary and one of them is
77°, what is the size of the other angle?
5 Minute Check
Solve. Complete in your notebook.
1. If two angles are complementary and one of them is
77°, what is the size of the other angle?
13°
5 Minute Check
Solve. Complete in your notebook.
2. If two angles are complementary and one of them is 34°,
what is the size of the other angle?
5 Minute Check
Solve. Complete in your notebook.
2. If two angles are complementary and one of them is 34°,
what is the size of the other angle?
56°
5 Minute Check
Solve. Complete in your notebook.
3. Two angles are complementary and one of them is four
times as big as the other. What is the size of the larger of
the two angles?
5 Minute Check
Solve. Complete in your notebook.
.
3. Two angles are complementary and one of them is four
times as big as the other. What is the size of the larger of
the two angles?
x+ 4x = 90
5x = 90
Since the larger angle is 4x the
smaller, then the larger angle is
5x = 90
4 · 18 = 72˚
5 5
x = 18
5 Minute Check
Solve. Complete in your notebook.
4. There are six angles around a point. One of them is 45˚
and the other five are all the same. What is the size of one
of the five angles?
5 Minute Check
Solve. Complete in your notebook.
4. There are six angles around a point. One of them is 45˚
and the other five are all the same. What is the size of one
of the five angles?
45 + 5x = 360
-45
-45
5x = 315
5x = 315
5 5
x = 63˚
Friday, Feb 28
Chapter13-2
Measuring Angles
Angles
Objective: To draw and label angles.
Angles
An angle of 80° is what type of angle?
Angles
An angle of 80° is what type of angle?
Since 80° is between 0° and 90°, it is an
acute angle.
Angles
An angle of 90° is what type of angle?
Angles
An angle of 90° is what type of angle?
90° is a right angle.
Angles
An angle of 165° is what type of angle?
Angles
An angle of 165° is what type of angle?
Since 165° is between 90° and 180°, it is
an obtuse angle.
Angles
Is this angle right, straight, obtuse or
acute?
Angles
Is this angle right, straight, obtuse or
acute?
Since the angle is 180°, it is straight.
Angles
Is this angle right, straight, obtuse or
acute?
Angles
Is this angle right, straight, obtuse or
acute?
Since the angle has the “right angle
symbol”, it must be a right angle.
Angles
Is this angle right, straight, obtuse or
acute?
Angles
Is this angle right, straight, obtuse or
acute?
Since the angle is less than 90°, it is
acute.
Angles
Two angles are complementary if the sum
of their angles is 90°.
Two angles are supplementary if the sum
of their angles is 180°.
Angles
Angles A and B are complementary. If
m A = 45°, what is m B?
Angles
Angles A and B are complementary. If
m A = 45°, what is m B?
90° - 45° = m B
35° = m B
Angles
Angles M and N are supplementary. If
m M = 95°, what is the measure of N?
Angles
Angles M and N are supplementary. If
m M = 95°, what is the measure of N?
M+
N = 180°
95° + N = 180°
N = 85°
Angles
Angles C and D are complementary. If
m C = 27°, what is the measure of D?
Angles
Angles C and D are complementary. If
m C = 27°, what is the measure of D?
C+
D = 90°
27° + D = 90°
D = 63°
Angles
Angles A and B are supplementary. If
m A = 147°, what is the measure of B?
Angles
Angles A and B are supplementary. If
m A = 147°, what is the measure of B?
A+
B = 180°
147° + B = 180°
B = 33°
Angles
Is the angle obtuse, right, acute or
straight?
Angles
Acute. Estimate the angle.
Angles
Acute. Estimate the angle.
About 45°
Angles
Is the angle obtuse, right, acute or
straight?
Angles
Obtuse. Estimate the angle.
Angles
Obtuse. Estimate the angle.
About 135°
Angles
Is the angle obtuse, right, acute or
straight?
Angles
Straight. Estimate the angle.
Angles
Straight. Estimate the angle.
Straight angles are always 180°.
Angles
If two angles are the same they are called
congruent.
Angles
The symbol for congruent is .
e.g.
The measure of angle ABC is the same
as the measure of angle PQR.
Angles
In a drawing, congruent angles are shown
in the same manner as congruent sides
on the polygon.
e.g.
Angles
ReviewWhat integer describes a loss of 9 yards?
Angles
ReviewWhat integer describes a loss of 9 yards?
-9
Angles
Review+6+(+8) =
Angles
Review+6+(+8) = 14
Angles
Review-15 ÷ (-3) =
Angles
Review-15 ÷ (-3) = 5
Angles
Review-34 ÷ (17) =
Angles
Review-34 ÷ (17) = -2
Angles
Review-48 ÷ (-12) =
Angles
Review-48 ÷ (-12) = 4
Angles
Review6(34.4 + 5.3) =
Angles
Review6(34.4 + 5.3) = 238.2
Angles
Review4(14.1 + 16.8) =
Angles
Review4(14.1 + 16.8) =123.6
Angles
Review8(14 ÷ 7) =
Angles
Review8(14 ÷ 7) = 16
Angles
Review3(121 ÷ 11) =
Angles
Review3(121 ÷ 11) = 33
Angles
Review3(8²) =
Angles
Review3(8²) = 192
Angles
Why was the obtuse angle upset?
Angles
Why was the obtuse angle upset?
Because he was never right.
Angles
Agenda Notes –
No Homework –
Practice Skills 13-2
Due at the end of the period
Mid-Chapter 13 Quiz
Monday, March 3
Related documents