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Dilations and Similar Figures

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Last updated 6 months ago
23 questions
Note from the author:
Dilations
Success Criteria 1: I can determine if the scale factor will result in an enlargement or reduction.
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Success Criteria 2: I can apply the scale factor to the pre-image to calculate the coordinates of the image.
Success Criteria 3: I can calculate the scale factor when given the pre-image and the image.
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Success Criteria 4: I can explain the effect of a dilation on a coordinate plane. (Assessment Aligned)
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Success Criteria 5: I can explain the effect on the perimeter and area of a figure after a dilation.
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Question 1
1.
  • x, y ---> (.83x, .83y)
  • SF = .23
  • Reduction
  • Enlargement
1
Question 2
2.
What is the scale factor?_______
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Question 3
3.
Is this an enlargement or a reduction?
__________
1
Question 4
4.
What are the vertices of A'B'C' after the dilation?


A' (_______ , _______ )
B' (_______ ,_______ )
C' (_______ , _______ )
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1
Question 6
6.
What is the scale factor?_______
1
Question 7
7.
Is this an enlargement or a reduction?
__________
1
Question 8
8.
What are the vertices of A'B'C' after the dilation?

A' (_______ , _______ )
B' (_______ ,_______ )
C' (_______ , _______ )
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1
Question 10
10.
What is the scale factor?_______
1
Question 11
11.
Is this an enlargement or a reduction?
__________
1
Question 12
12.
What are the vertices of W'X'Y'Z' after the dilation?

W' (_______ , _______ )
X' (_______ ,_______ )
Y' (_______ , _______ )
Z' (_______ ,_______ )
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Question 14
14.
The Triangle OPQ is shown on the coordinate grid. It will be dilated with the origin as the center of dilation using the rule (x, y) --->(ax, ay) to create O'P'Q'
What is the scale factor? And What is the Rule?


The scale factor is _______
Rule: x, y ---> (_______ , _______ )
Question 15
15.
Rectangle EFGH is dilated using the origin as the center of dilation to for Q'R'S'



What is the scale factor? _______
What rule describes the dilation? x, y ---> (_______,_______ )
Question 16
16.
The parallelogram JKLM is shown on the coordinate grid. It will be dilated with the origin as the center of dilation using the rule (x, y) --->(ax, ay) to create J'K'L'M'. If the vertex K' will be located at (4, 2) What is the scale factor of a?


The scale factor is _______
The dilation is a(n) _______
Question 17
17.

Parallelogram DEFG was dilated with the origin as the center of dilation to create D'E'F'G'


Which rule best describes this transformation?

Question 18
18.

Circle I was dilated with the origin as the center of dilation to create Circle II.


Which rule describes this transformation?

Question 19
19.

Hexagon MNOPQR is dilated with origin as the center of dilation. R' the image of R after the dilation has coordinates R' (-6, -3).


Which of the following represents the rule to the dilation?

Question 20
20.
Pentagon RSTUV is shown on the coordinate grid. It will be dilated with the origin as the center of dilation using the rule (x, y) → (ax, ay) to create quadrilateral R'S'T'U'V'. If vertex R’ will be located at (-2, 3), what is the value of the scale factor a?

What is the value of a? _______
Question 21
21.
Triangle LMN is dilated by a scale factor of 1/4 to form triangle L′M′N′.

Perimeter of the original: 12

Area of original: 20


What is the perimeter of the new _______
The area of the image is _______ smaller than the original.
What is the area of the new image is _______
Question 22
22.
Triangle MNO is dilated by a scale factor of 1/5 to form triangle M′N′O′.

Perimeter of the original: = 22.5 m

Area of original: = 9.8 m


What is the perimeter of the new _______
The area of the image is _______ smaller than the original.
What is the area of the new image is _______
Question 23
23.
Triangle MNO is dilated by a scale factor of 3 to form triangle M′N′O′.

Perimeter of the original: = 30 m

Area of original: = 10 m


What is the perimeter of the new _______
The area of the image is _______ greater than the original.
What is the area of the new image is _______
Question 5
5.
What is the rule to describe this dilation?

Rule: x, y ---> (_______, _______ )
Question 9
9.
What is the rule to describe this dilation?

Rule: x, y --> (_______ , _______ )
Question 13
13.
What is the rule to describe this dilation?

x,y ---> (__________ ,__________ )