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Dilations and Similar Figures

Last updated 3 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.
1
  • SF = .23
  • x, y ---> (.83x, .83y)
  • Reduction
  • Enlargement
Success Criteria 2: I can apply the scale factor to the pre-image to calculate the coordinates of the image.
1
What is the scale factor?_______
1
Is this an enlargement or a reduction?
__________
1
What are the vertices of A'B'C' after the dilation?


A' (_______ , _______ )
B' (_______ ,_______ )
C' (_______ , _______ )
1
What is the rule to describe this dilation?

Rule: x, y ---> (_______, _______ )
1
What is the scale factor?_______
1
Is this an enlargement or a reduction?
__________
1
What are the vertices of A'B'C' after the dilation?

A' (_______ , _______ )
B' (_______ ,_______ )
C' (_______ , _______ )
1
What is the rule to describe this dilation?

Rule: x, y --> (_______ , _______ )
1
What is the scale factor?_______
1
Is this an enlargement or a reduction?
__________
1
What are the vertices of W'X'Y'Z' after the dilation?

W' (_______ , _______ )
X' (_______ ,_______ )
Y' (_______ , _______ )
Z' (_______ ,_______ )
1
What is the rule to describe this dilation?

x,y ---> (__________ ,__________ )
Success Criteria 3: I can calculate the scale factor when given the pre-image and the image.
1
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 ---> (_______ , _______ )
1
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 ---> (_______,_______ )
1
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) _______
Success Criteria 4: I can explain the effect of a dilation on a coordinate plane. (Assessment Aligned)
1

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


Which rule best describes this transformation?

1

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


Which rule describes this transformation?

1

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?

1
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? _______
Success Criteria 5: I can explain the effect on the perimeter and area of a figure after a dilation.
1
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 _______
1
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 _______
1
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 _______