+ All Categories
Home > Documents > 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles...

5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles...

Date post: 20-Mar-2018
Category:
Upload: vandieu
View: 225 times
Download: 1 times
Share this document with a friend
34
5-1 Classifying Triangles
Transcript
Page 1: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

5-1 Classifying Triangles

Page 2: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

Today we will be learning how to classify triangles according to length of sides and measurement of the angles.

Page 3: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

First we will learn to classify by the

ANGLES

Page 4: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

Right triangles have ONE right angle

Page 5: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

Acute Triangles have three acute angles

Smaller than 90o

Smaller than 90o

Smaller than 90o

Acute Angle

Page 6: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

Obtuse Triangles have ONE obtuse angle

Obtuse Angle

Page 7: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

We will now learn to classify triangles by their sides.

Page 8: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

If you collapsed all of the sides they would form a line.

Equilateral Triangles have 3 equal sides

Page 9: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

Isosceles Triangles have 2 equal sides.

Page 10: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

Scalene Triangles have NO equal sides.

Page 11: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

Classifying  Triangles  by  Their  Sides  §  EQUILATERAL  –  3  congruent  sides  

 

§  ISOSCELES  –  at  least  two  sides    

 congruent  

 

§  SCALENE  –  no  sides  congruent  

EQUILATERAL

ISOSCELES

SCALENE

Page 12: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-3A

Slide 3 of 3

Page 13: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-3B

Slide 3 of 3

Page 14: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-3C

Slide 3 of 3

Page 15: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-3D

Slide 3 of 3

Page 16: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

You have now learned that triangles can be classified by either their sides or their angles.

Page 17: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

10-1 ANGLES OF A TRIANGLE

Page 18: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-1A

Slide 1 of 2

Page 19: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-2A

Slide 2 of 2

Page 20: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-2B

Slide 2 of 2

Page 21: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-2C

Slide 2 of 2

Page 22: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-2D

Slide 2 of 2

Page 23: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-2D

Slide 2 of 2

Page 24: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-2E

Slide 2 of 2

Page 25: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-2E

Slide 2 of 2

Page 26: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-2F

Slide 2 of 2

Page 27: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-2G

Slide 2 of 2

Page 28: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-2H

Slide 2 of 2

Page 29: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-2I

Slide 2 of 2

Page 30: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-2J

Slide 2 of 2

Page 31: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

1-2J

Slide 2 of 2

Page 32: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

GUIDED PRACTICE for Examples 3 and 4

5 .

Find the measures of the acute angles of the right triangle in the diagram shown.

26° and 64° ANSWER

Page 33: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

The perimeter of a triangle is 29 cm. The length of the first side is twice the length of the second side. The length of the third side is 5 more than the length of the second side. Find the side lengths and then classify the triangle by its side lengths.

Page 34: 5-1 Classifying Triangles - moshaughnessy - home Triangles have 3 equal sides Isosceles Triangles have 2 equal sides. Scalene Triangles have NO ... SCALENE*–no*sides*congruent EQUILATERAL

The ratio of angle measures of a triangle is 7:16:22. Find the angle measures and then classify the triangle by its angle measures.


Recommended