8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson...
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Transcript of 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson...
![Page 1: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/1.jpg)
8-2 Classifying Angles
Course 2
Warm UpWarm Up
Problem of the DayProblem of the Day
Lesson PresentationLesson Presentation
![Page 2: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/2.jpg)
Warm Up
Course 2
8-2 Classifying Angles
1. What percent of the model is shaded?
2. Find the value of 52 + 53.
3. What is the percent of change if 20 is increased to 25?
4. On a scale drawing of a tree with a scale of 1 cm = 0.9 m, the height of the tree is 1.2 cm. What is the actual height of the tree?
71%
150
25%
1.08 m
![Page 3: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/3.jpg)
An angle is formed by two rays with a common endpoint. The two rays are the sides of the angle. The common endpoint is the vertex.
Angles are measured in degrees (°).
A
CB
1
Vertex
Course 2
8-2 Classifying Angles
Learn to identify angles and angle pairs.
![Page 4: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/4.jpg)
An angle’s measure determines the type of angle it is.
A right angle is an angle that that measures exactly 90°. Thesymbol indicates a right angle.An acute angle is an anglethat measures less than 90°.
An obtuse angle is an anglethat measures more than 90°but less than180°.
A straight angle is an anglethat measures 180°.
Course 2
8-2 Classifying Angles
![Page 5: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/5.jpg)
Tell whether each angle is acute, right, obtuse or straight.
A. B.
obtuse angle acute angle
Course 2
8-2 Classifying Angles
![Page 6: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/6.jpg)
Insert Lesson Title Here
Tell whether each angle is acute, right, obtuse, or straight.
A. B.
straight angle acute angle
Course 2
8-2 Classifying Angles
![Page 7: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/7.jpg)
If the sum of the measures of two angles is 90°,then the angles are complementary angles.
If the sum of the measures of two angles is 180°,then the angles are supplementary angles.
Course 2
8-2 Classifying Angles
![Page 8: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/8.jpg)
Course 2
8-2 Classifying Angles
COmplementary
upplementary
C C= 90˚
= 180˚
+ 90˚
C
![Page 9: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/9.jpg)
Course 2
8-2 Classifying Angles
You can name this angle ABC, CBA, B, or 1.
Reading Math
A •
B • • C
1
![Page 10: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/10.jpg)
Use the diagram to tell whether the angles are complementary, supplementary, or neither.
Course 2
8-2 Classifying Angles
Since 60° + 30° = 90°, PMQ and OMP are complementary.
O
P Q
M
OMP and PMQ
![Page 11: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/11.jpg)
Use the diagram to tell whether the angles are complementary, supplementary, or neither.
Course 2
8-2 Classifying Angles
O
N R
M
Since 15° + 165° = 180°, NMO and OMR are supplementary.
Read mNMO as “the measure of angle NMO.”
Reading Math
NMO and OMR
![Page 12: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/12.jpg)
Use the diagram to tell whether the angles are complementary, supplementary, or neither.
Course 2
8-2 Classifying Angles
PMQ and QMR P Q
RM
Since 30° + 75° = 105°, PMQ and QMR are neither complementary or supplementary.
![Page 13: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/13.jpg)
Angles A and B are complementary.
If mA is 56°, what is the mB?
Course 2
8-2 Classifying Angles
Angles P and Q are supplementary.
If mP is 32°, what is the mQ?
![Page 14: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/14.jpg)
One way to classify triangles is by the lengths of their sides.
Course 2
8-6 Classifying Triangles
Learn to classify triangles by their side lengths and angle measures.
![Page 15: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/15.jpg)
Triangles classified by sides
A scalene trianglehas no congruent sides.
Course 2
8-6 Classifying Triangles
![Page 16: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/16.jpg)
Triangles classified by sides
An isosceles trianglehas 2 congruent sides
Course 2
8-6 Classifying Triangles
![Page 17: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/17.jpg)
Triangles classified by sides
In an equilateral triangle, all of the sides are congruent.
Course 2
8-6 Classifying Triangles
![Page 18: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/18.jpg)
Another way to classify triangles is by the measures of their angles.
Triangles classified by angles
In an acute triangle, all of the angles are acute.
Course 2
8-6 Classifying Triangles
![Page 19: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/19.jpg)
Triangles classified by angles
An obtuse triangle hasone obtuse angle.
Course 2
8-6 Classifying Triangles
![Page 20: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/20.jpg)
Triangles classified by angles
A right triangle has one right angle.
Course 2
8-6 Classifying Triangles
![Page 21: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/21.jpg)
Classify each triangle according to its sides and angles.
A. Two congruent sidesacute Three acute angles
This is an isosceles acute triangle.
B. No congruent sidesright One right angle
This is a scalene right triangle.
isosceles
scalene
Course 2
8-6 Classifying Triangles
![Page 22: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/22.jpg)
Classify each triangle according to its sides and angles.
C. Three congruent sides
acute Three acute angles
This is an equilateral acute triangle.
equilateral
Course 2
8-6 Classifying Triangles
D. No congruent sides
obtuse One obtuse angle (exceeds 90°)
This is a scalene obtuse triangle.
scalene
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Insert Lesson Title Here
Classify each triangle according to its sides and angles.
E. Two congruent sidesobtuse One obtuse angle
This is an isosceles obtuse triangle.
F. Two congruent sides
right One right angle
This is an isosceles right triangle.
isosceles
isosceles
Course 2
8-6 Classifying Triangles
![Page 24: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/24.jpg)
Identify the different types of triangles in the figure, and determine how many of each there are.
Type How many Name
Scalene 2 ABD, BCD
Isosceles
Right
Obtuse
Acute
ACE, ABC
ABD, BCD
ACE
ABC
2
2
1
1
Course 2
8-6 Classifying Triangles
![Page 25: 8-2 Classifying Angles Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.](https://reader036.fdocuments.us/reader036/viewer/2022070412/56649f145503460f94c29768/html5/thumbnails/25.jpg)
Insert Lesson Title Here
A
BC
D
EF
G
H
I J
Identify the different types of triangles in the figure, and determine how many of each there are.
Isosceles
Obtuse
Acute
5
2
4
NameHow manyType
DJA, JDG
HJI, BCD
DFE
DJA, ADG
JDG, JHI,
BCD, DEF
Course 2
8-6 Classifying Triangles
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Lesson Quiz
Classify each triangle according to its sides and angles.
1. 7ft, 8ft, 12ft
2. 45°, 90°, 45°
3. 12, 9, 12
4. 120°, 20°, 40°
5. Identify the different types of triangles in the figure and determine how many of each there are.
right
scalene
Insert Lesson Title Here
isosceles
obtuse
1 isosceles acute triangle, 1 equilateral triangle, 1 scalene right triangle
Course 2
8-6 Classifying Triangles