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7_4 Similar Triangles Day 1.notebook April 10, 2015 Warm Up April 10, 2015 1) Find the length of the missing sides of the similar polygons 12.5 x 11 26.25 7.14 y Show work

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Page 1: 7 4 Similar Triangles Day 1.notebook - math.mvhs.nbed.nb.camath.mvhs.nbed.nb.ca/K. Sears/documents/7_4SimilarTrianglesDay1… · 7_4 Similar Triangles Day 1.notebook April 10, 2015

7_4   Similar Triangles Day 1.notebook April 10, 2015

Warm UpApril 10, 2015

1) Find the length of the missing sides of the similar polygons

12.5x

11

26.25

7.14

y

Show work

Page 2: 7 4 Similar Triangles Day 1.notebook - math.mvhs.nbed.nb.camath.mvhs.nbed.nb.ca/K. Sears/documents/7_4SimilarTrianglesDay1… · 7_4 Similar Triangles Day 1.notebook April 10, 2015

7_4   Similar Triangles Day 1.notebook April 10, 2015

Questions from the homework...

6.

Page 3: 7 4 Similar Triangles Day 1.notebook - math.mvhs.nbed.nb.camath.mvhs.nbed.nb.ca/K. Sears/documents/7_4SimilarTrianglesDay1… · 7_4 Similar Triangles Day 1.notebook April 10, 2015

7_4   Similar Triangles Day 1.notebook April 10, 2015

Warm Up

1) Find the length of the missing sides of the similar polygons

12.5x

26.25

7.14

y11

12.5  =    x    =   1126.25     7.14       y

12.5  =    x    26.25    7.14         

12.5  =    1126.25        y

cross multiply

26.25 x = (12.5)(7.14)

26.25 x = 89.25

26.5 x = 89.2526.25      26.25

solve for x

x = 3.4

full ratio

12.5 y  = (11)(26.25)

12.5 y  = 288.75

12.5 y  = 288.7512.5          12.5

solve for y

y = 23.1

Solution

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7_4   Similar Triangles Day 1.notebook April 10, 2015

Triangles

Page 5: 7 4 Similar Triangles Day 1.notebook - math.mvhs.nbed.nb.camath.mvhs.nbed.nb.ca/K. Sears/documents/7_4SimilarTrianglesDay1… · 7_4 Similar Triangles Day 1.notebook April 10, 2015

7_4   Similar Triangles Day 1.notebook April 10, 2015

Are these triangles similar?

T

R

I

C

A

N3

4

5.2 9

12

15.6

Let's Compare sideserase

Triangles are just polygons

Step 1) Match up Angles

Step 2) Set up ratios

TRI CNA

TRCN

RINA

TICA

= =

 412

5.2  15.6

39= =

0.3  =  0.3  = 0.3

Since  corresponding sides are proportionate and angles are equal then

TRI CNA~

Page 6: 7 4 Similar Triangles Day 1.notebook - math.mvhs.nbed.nb.camath.mvhs.nbed.nb.ca/K. Sears/documents/7_4SimilarTrianglesDay1… · 7_4 Similar Triangles Day 1.notebook April 10, 2015

7_4   Similar Triangles Day 1.notebook April 10, 2015

Page 7: 7 4 Similar Triangles Day 1.notebook - math.mvhs.nbed.nb.camath.mvhs.nbed.nb.ca/K. Sears/documents/7_4SimilarTrianglesDay1… · 7_4 Similar Triangles Day 1.notebook April 10, 2015

7_4   Similar Triangles Day 1.notebook April 10, 2015

Page 8: 7 4 Similar Triangles Day 1.notebook - math.mvhs.nbed.nb.camath.mvhs.nbed.nb.ca/K. Sears/documents/7_4SimilarTrianglesDay1… · 7_4 Similar Triangles Day 1.notebook April 10, 2015

7_4   Similar Triangles Day 1.notebook April 10, 2015

Angles equal and sides are proportionate

Page 9: 7 4 Similar Triangles Day 1.notebook - math.mvhs.nbed.nb.camath.mvhs.nbed.nb.ca/K. Sears/documents/7_4SimilarTrianglesDay1… · 7_4 Similar Triangles Day 1.notebook April 10, 2015

7_4   Similar Triangles Day 1.notebook April 10, 2015

Create a proportion,by matching the 

corresponding sides!!

Write the Similarity Statement:

Write the proper ratios:

Fill in the ratios:

Solve:

WHAT YOU HAVE TO INCLUDE ON A TEST

Page 10: 7 4 Similar Triangles Day 1.notebook - math.mvhs.nbed.nb.camath.mvhs.nbed.nb.ca/K. Sears/documents/7_4SimilarTrianglesDay1… · 7_4 Similar Triangles Day 1.notebook April 10, 2015

7_4   Similar Triangles Day 1.notebook April 10, 2015

Solve for x .

a)  AB

C

x

12.0

25.6

6.012.8

8.5

You only need a full ratio and a ratio with the missing side

2 ratios needed

=

Similarity statement

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7_4   Similar Triangles Day 1.notebook April 10, 2015

Show your work

Page 12: 7 4 Similar Triangles Day 1.notebook - math.mvhs.nbed.nb.camath.mvhs.nbed.nb.ca/K. Sears/documents/7_4SimilarTrianglesDay1… · 7_4 Similar Triangles Day 1.notebook April 10, 2015

7_4   Similar Triangles Day 1.notebook April 10, 2015

5

6

9

Q

RU

T p12

1810

W

Page 13: 7 4 Similar Triangles Day 1.notebook - math.mvhs.nbed.nb.camath.mvhs.nbed.nb.ca/K. Sears/documents/7_4SimilarTrianglesDay1… · 7_4 Similar Triangles Day 1.notebook April 10, 2015

7_4   Similar Triangles Day 1.notebook April 10, 2015

Homework

Page 349 ­ 350

4) Show all work5)6)7)

ab