Intro to Dilations

INTRODUCTION

TO

​

Multiple Choice

First, identify the old and new image. Now, did the triangle get bigger or smaller?

• The triangle got smaller

• The triangle got bigger

Multiple Choice

First, identify the old and new image. Now, did the triangle get bigger or smaller?

• The triangle got smaller

• The triangle got bigger

Multiple Choice

Is this an enlargement or a reduction?

• Enlargement

• Reduction

Multiple Choice

Triangle ABC is dilated by a scale factor of  $8$ to form Triangle A’B’C’ with the origin as a center of dilation.

Which rule represents this dilation? 

•  $(8x,8y)\ \rightarrow\ (x,y)\$  

•  $(x,y)\ \ \rightarrow\ \ (x+8,\ y-8​)$  
  

•  $(x,y)\ \rightarrow\ (8x,\ 8y)$  

• 
  

   $(x,y)\ \ \rightarrow\ \ (\frac{x}{8},\ \frac{y}{8})$  

Multiple Select

Which of the following algebraic rules represents an enlargement?

***There's more than 1 correct answer!

•  $(x,y)\ \rightarrow\ (1.6x,1.6y)$  
  

•  $(x,y)\ \rightarrow\ (0.75x,0.75y)$  
  

•  $(x,y)\ \rightarrow\ (\frac{18}{5}\ x,\ \frac{18}{5}\ y)$  
  

•  $(x,y)\ \rightarrow\ (-x,y)$  
  

Multiple Select

Which of the following algebraic rules represents a reduction?

***There's more than 1 correct answer!

•  $(x,y)\ \rightarrow\ (3x,3y)$  
  

•  $(x,y)\ \rightarrow\ (\frac{3}{4}x,\ \frac{3}{4}​y\ )$  
  

•  $(x,y)\ \rightarrow\ (0.99x,0.99y)$  
  

•  $(x,y)\ \rightarrow\ (5x,\ 5y)$  
  

Multiple Choice

Which rule best represents the dilation that was applied to Pentagon EFGHI to create Pentagon E'F'G'H'I’?

• $(x,y)\rightarrow\ (x+2,y-4)$
  

• $(x,y)\ \rightarrow\ (0.33x,0.33y)$
  

• $(x,y)\ \rightarrow\ (3x,3y)$
  

• $(x,y)\ \rightarrow\ (x-2,y+4)$
  

Multiple Choice

Trapezoid ABCD was dilated with the origin as the center to create Trapezoid A'B'C'D’.

Which rule best represents the dilation that was applied to Trapezoid ABCD to create Trapezoid A'B'C'D' ?

• $(x,y)\ \ \rightarrow\ \ (\frac{1}{2}x,\frac{1}{2}​y)$

• $(x,y)\ \ \rightarrow\ \ (2x,\ 2y)$
  

• $(x,y)\ \ \rightarrow\ \ (4x,\ 2​y)$
  

• $(x,y)\ \ \rightarrow\ \ (-x,\ -y)$
  

Multiple Choice

Which rule best represents the dilation that was applied to quadrilateral WXYZ to create quadrilateral W’X’Y’Z’?

• $(x,y)\rightarrow\ (\frac{4}{10}​x,\ \frac{4}{10}​y)$
  

• $(x,y)\ \rightarrow\ (x+3,y+2)$
  

• $(x,y)\rightarrow\ (\frac{10}{4}​x,\ \frac{10}{4}​y$
  

• $(x,y)\ \rightarrow\ (x-3,y-2)$
  

Multiple Choice

Quadrilateral PNDM was dilated with the origin as the center to create quadrilateral P'N'D'M’.

Which rule best represents the dilation that was applied to quadrilateral PNDM to create quadrilateral P'N'D'M’?

•  $(x,y)\ \rightarrow\ (x-1,\ y+1)$  
  

•  $(x,y)\ \rightarrow\ \left(\frac{1}{9}x,\ \frac{1}{9}y)\right)$  
  

•  $(x,y)\ \rightarrow\ (0.77x,\ 0.77y)$ 
  

•  $(x,y)\ \rightarrow\ \left(\frac{6}{3}x,\ \frac{6}{3}y)\right)$  
  

Multiple Choice

A dilation produces a congruent figure

• True

• False

Multiple Choice

Which representation of a transformation on a coordinate grid does not preserve congruence?

• translation

• dilation

• rotation

• reflection

Multiple Choice

Which representation of a transformation on a coordinate grid does not preserve congruence?

• (x, y) ⟶ (y, ⎯x)

• (x, y) ⟶ (⎯x , ⎯y)

• (x, y) ⟶ (x +2, y ⎯ 3)

• (x, y) ⟶ ( 3x, 3y)