
Dilations
Presentation
•
Mathematics
•
7th - 10th Grade
•
Hard
+2
Standards-aligned
Ana Alcaraz
Used 185+ times
FREE Resource
10 Slides • 12 Questions
1
Dilations
2
Multiple Select
Which statements are true about Dilations?
They are rigid transformations
They are non-rigid transformations
They change the size of a shape (bigger or smaller)
They change a shape
3
Scale Factors
> 1 Enlargement
> 0 & < 1 Reduction
=0 Makes it a point
Negative: Reflection through Point (Center of Dilation)
4
Multiple Select
Similar figures have ...
Congruent Angles
Congruent Side Lengths
Proportional Angles
Proportional Side Lengths
5
Multiple Choice
Are these similar figures?
Yes
No
6
Similar Figures
Set up the proportions to determine if they are similar
Do these simplify to the same ratio?
7
Similar Figures
Set up the proportions to determine if they are similar
Do these simplify to the same ratio?
23=23=23 YES!
8
Multiple Choice
Are the two figures similar?
Yes
No
9
Multiple Choice
Are the two figures similar?
Yes
No
10
Make sure to set up ratios with corresponding sides
2024=1518=1012 56=56=56
11
Fill in the Blanks
Find x using the proportional relationships of similar figures.
Type answer...
12
Set up a Proportion and Solve Like an Equation
1025=6x --> 1025⋅6=x
25x=106 --> x=106⋅25
Make sure you look at CORRESPONDING sides
13
To do a Dilation on the Coordinate Plane
Multiply by the scale factor!
Dilate the triangle by 3.
F(2, -2), G(2, 2), H(-1, -2)
14
To do a Dilation on the Coordinate Plane
Multiply by the scale factor!
Dilate the triangle by 3.
F(2, -2), G(2, 2), H(-1, -2)
F'(6, -6), G'(6, 6), H'(-3, -6)
15
Same Starting Point, Different Factor
Multiply by the scale factor
2 1or 0.5
F(2, -2), G(2, 2), H(-1, -2)
16
Same Starting Point, Different Factor
Multiply by the scale factor
2 1or 0.5
F(2, -2), G(2, 2), H(-1, -2)
F'(1, -1), G'(1, 1), H(-1/2, -1)
17
Fill in the Blanks
Dilate by a factor of 5.
A(2, 3), B(1, 4), C(4, 5)
Type answer...
18
Fill in the Blanks
Similar figures have
Type answer...
19
Fill in the Blanks
Similar figures have
Type answer...
20
Multiple Choice
A figure has a point at (3, 4). When dilated by a factor of 2, the new image point is located where?
(5, 6)
(5, 8)
(6, 8)
(6, 6)
21
Multiple Choice
Find x.
18
14
12
11
22
Multiple Choice
Find x.
6
9
Dilations
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