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Smartboard Notes.notebook 1 December 03, 2018 Apr 87:54 PM 4.3 Similar Triangles A. Identify Similar Triangles Two triangles are similar if their corresponding angles are equal. Notation: ∆ABC ∆EFG

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Page 1: 4.3 Similar Triangles - Grade 9 Math...Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree? Smartboard Notes.notebook

Smartboard Notes.notebook

1

December 03, 2018

Apr 8­7:54 PM

4.3 Similar Triangles

A. Identify Similar Triangles

Two triangles are similar if their corresponding angles are equal. 

Notation:

∆ABC ∆EFG

Page 2: 4.3 Similar Triangles - Grade 9 Math...Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree? Smartboard Notes.notebook

Smartboard Notes.notebook

2

December 03, 2018

Apr 8­8:08 PM

Similar triangles have porportional sides. 

Page 3: 4.3 Similar Triangles - Grade 9 Math...Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree? Smartboard Notes.notebook

Smartboard Notes.notebook

3

December 03, 2018

Apr 8­8:09 PM

1. Determine if each pair of triangles is similar.  Show how you know.

Page 4: 4.3 Similar Triangles - Grade 9 Math...Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree? Smartboard Notes.notebook

Smartboard Notes.notebook

4

December 03, 2018

Apr 8­8:09 PM

1. Determine if each pair of triangles is similar.  Show how you know.

Page 5: 4.3 Similar Triangles - Grade 9 Math...Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree? Smartboard Notes.notebook

Smartboard Notes.notebook

5

December 03, 2018

Apr 8­8:28 PM

Page 6: 4.3 Similar Triangles - Grade 9 Math...Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree? Smartboard Notes.notebook

Smartboard Notes.notebook

6

December 03, 2018

Apr 8­7:53 PM

c) 

Page 7: 4.3 Similar Triangles - Grade 9 Math...Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree? Smartboard Notes.notebook

Smartboard Notes.notebook

7

December 03, 2018

Apr 8­8:11 PM

B. Using Similar Triangles 

Example 1 – Kyle is drawing triangles for a math puzzle.  Use your knowledge of similar triangles to determine:

a) if the triangles are similar

b) the missing side length

Page 8: 4.3 Similar Triangles - Grade 9 Math...Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree? Smartboard Notes.notebook

Smartboard Notes.notebook

8

December 03, 2018

Apr 8­8:19 PM

Part b can be solved using two methods:

Method 1 – Use a scale factor

Method 2 – Use a proportion

Page 9: 4.3 Similar Triangles - Grade 9 Math...Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree? Smartboard Notes.notebook

Smartboard Notes.notebook

9

December 03, 2018

Apr 8­8:20 PM

Example 2 – Word ProblemTonya is 1.3 meters tall.  She stands 7 meters in front of a tree and casts a shadow 1.8 meters long.  How tall is the tree? 

Page 10: 4.3 Similar Triangles - Grade 9 Math...Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree? Smartboard Notes.notebook

Smartboard Notes.notebook

10

December 03, 2018

Apr 8­8:22 PM

You try:

Page 11: 4.3 Similar Triangles - Grade 9 Math...Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree? Smartboard Notes.notebook

Smartboard Notes.notebook

11

December 03, 2018

Dec 3­9:19 AM

Page 12: 4.3 Similar Triangles - Grade 9 Math...Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree? Smartboard Notes.notebook

Smartboard Notes.notebook

12

December 03, 2018

Apr 8­8:24 PM

Page 13: 4.3 Similar Triangles - Grade 9 Math...Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree? Smartboard Notes.notebook

Smartboard Notes.notebook

13

December 03, 2018

Apr 8­8:27 PM

Page 150 #4-8

Page 151 #9, 10, 12-16


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