The number side lengths are multiplied by to get the side lengths of a similar shape.
What is the Scale Factor
Find the height of the tree, h.
16 ft
Original (x, y) Image (5x, 5y)
Would this produce a similar figure? Why or why not?
What is yes, similar. (Same SF applied)
Write a ratio of 15 boys to 12 girls
15 to 12 = 5 to 4
15/12 = 5/4
15:12 = 5:4
What is the scale factor from the smaller figure to the larger figure?
Scale factor of 2
The comparison of two things (ex: length to width)
What is a Ratio
Which sides are similar?
DE= ZY
AB = VW
BC= Wx
AE= VZ
CD= XY
What copier size factor was used to create an image that is 1.5 times larger?
What is 150%?
A class has 12 students who like football and 5 who do not like football. Write a ratio of students who do not like football to those who like football.
5 to 12
What is the Scale Factor?
Mrs. Hatfield will show you the picture! :)
1.5
Exactly the same shape and size
Congruent
_____________ and ______________ are two methods that can be used to find missing side lengths of similar figures.
Scale factor and ratios (proportions)
Name what our current unit is called.
Dialations
Are the following ratios equivalent?
4:6 and 18:24
no
How does the Scale Factor affect the perimeter of a figure?
The perimeter changes by the scale factor.
What must be true for shapes to be similar?
- Same shape
-Corresponding angles are congruent
-Corresponding sides are proportional (equal ratios)
Are these shapes similar figures?
Yes
Scale factor of 2
Write an equivalent ratio to the ratio 4:5
8:10
12:15
16:20
What is the scale factor from the shadow of the wall to the shadow of the tree?
4
Describe what corresponding sides are in similar figures.
Corresponding sides are the sides in the same position on two different figures
Use the picture to find the height of the tree.
10 ft
Solve for x.
x = 14
How does the Scale Factor affect the area of a figure?
The area changes by the scale factor multiplied by the scale factor or the scale factor squared. Example, if the scale factor is 3, the area changes by 9.