classifying triangles. what do we remember about classifying angles? what are the different types of...
TRANSCRIPT
![Page 1: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/1.jpg)
Classifying Triangles
![Page 2: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/2.jpg)
What do we remember about classifying angles?
What are the different types of angles?
Acute, right, obtuse, and straight
![Page 3: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/3.jpg)
How are triangles classified?
Triangles are classified in two ways: by their sides and their angles
![Page 4: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/4.jpg)
Types of triangles classified by their sides
EquilateralIsoscelesScalene
![Page 5: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/5.jpg)
Types of triangles classified by their angles
AcuteRightObtuse
![Page 6: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/6.jpg)
Equilateral Triangles
All 3 sides are congruent
(Note: all 3 angles are congruent also)
![Page 7: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/7.jpg)
Equilateral Triangles cont’d
![Page 8: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/8.jpg)
Isosceles Triangles
2 sides are congruent
(Note: base angles are also congruent)
![Page 9: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/9.jpg)
Isosceles Triangle cont’d
![Page 10: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/10.jpg)
Scalene Triangle No sides are congruent
![Page 11: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/11.jpg)
Scalene Triangle
![Page 12: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/12.jpg)
Acute Triangle All 3 angles are acute
![Page 13: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/13.jpg)
Acute Triangle
![Page 14: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/14.jpg)
Right Triangle Has 1 right angle
![Page 15: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/15.jpg)
Right Triangle
![Page 16: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/16.jpg)
Obtuse Triangle Has 1 obtuse angle
![Page 17: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/17.jpg)
Obtuse Triangle
![Page 18: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/18.jpg)
Multiple Classifications
Triangles can be classified by both their sides and angles:
Acute IsoscelesRight IsoscelesObtuse IsoscelesAcute ScaleneObtuse ScaleneRight Scalene
![Page 19: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/19.jpg)
What type of triangle does not have multiple classifications?
Equilateral Triangles – all of its angles and sides are congruent, so there cannot be different types of equilateral triangles.
![Page 20: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/20.jpg)
Acute Isosceles Triangle
2 sides are congruent and all angles are acute
![Page 21: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/21.jpg)
Obtuse Isosceles Triangle
2 sides are congruent and one angle is obtuse
![Page 22: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/22.jpg)
Right Isosceles Triangle
2 sides are congruent and one angle is a right angle
![Page 23: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/23.jpg)
Acute Scalene Triangle
No sides are congruent and all angles are acute
![Page 24: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/24.jpg)
Obtuse Scalene Triangle
No sides are congruent and one angle is obtuse
![Page 25: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/25.jpg)
Right Scalene Triangle
No sides are congruent and one angle is a right angle
![Page 26: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/26.jpg)
Two sets of questions we should ask ourselves when classifying triangles:
1. Regarding angles:Are all 3 angles acute, or is 1 angle right or obtuse?
2. Regarding sides:Are all 3 sides congruent, are only 2 sides congruent, or are no sides congruent?
![Page 27: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/27.jpg)
For you to try: what type of triangles are the following triangles?
![Page 28: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/28.jpg)
![Page 29: Classifying Triangles. What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight](https://reader035.vdocument.in/reader035/viewer/2022062321/56649da65503460f94a91149/html5/thumbnails/29.jpg)