# Unit 2, Lesson 4: Dilations on a Square Grid

Author:
Ms. Espy

## 4.1: Estimating a Scale Factor

Point C is the dilation of point B with center of dilation A and scale factor s. Estimate s and explain your reasoning on your paper.

## 4.2 Dilations on a Grid

#1 Directions
1. Dilate quadrilateral ABCD with center P and scale factor 2.
2. On your paper, explain the relationship between the pre-image and image. Include these words in your explanation:
﻿-distance ﻿-area ﻿-center of dilation﻿﻿

## #2 Directions

1. Dilate triangle QRS with center T and scale factor 2.
2. Dilate triangle QRS with center T and scale factor 1/2.
3. On your paper, explain the difference between dilating with a scale factor greater than 1 and dilating with a scale factor less than 1. Use the following words in your explanation:
﻿ ﻿-distance ﻿ ﻿-center of dilation

## 4.3 Dilations on a Coordinate Grid Directions

1. On your paper, guess the quadrant for point E' after a dilation with center Q at (-3, 4) and a scale factor of 2. Explain why you guessed that quadrant.
2. Dilate trapezoid CDEF with center Q at (-3, 4) and scale factor 2.
3. Explain on your paper why your guess was correct or incorrect.
4. Explain on your paper the relationship between QE and QE'. (Think: How does distance relate to scale factor for the pre-image and image?)