Geometry - Dilations Given Center and Scale Factor: CCSS.Math.Content.HSG-SRT.A.1

If the red figure is an object and the blue figure is an object after dilation, what is the scale factor?

Plot10

$\frac{1}{2}$

$- \frac{1}{2}$

Explanation

The best way to solve for the scale factor is to find the same vertex from each object, and divide their components.

Let's use $\left ( 5, \quad 9\right )$ and $\left ( \frac{5}{2}, \quad \frac{9}{2}\right )$

Let's divide the x-coordinates together.

$\frac{5}{\frac{5}{2}}=5\cdot \frac{2}{5}=2$

Since we are going from the smaller object to the larger object, we know that our scale factor is going to be greater than one.

So our final answer is going to be.

If the red figure is an object and the blue figure is an object after dilation, what is the scale factor?

Plot1

$\frac{1}{5}$

$- \frac{1}{5}$

Explanation

The best way to solve for the scale factor is to find the same vertex from each object, and divide their components.

Let's use

$\left ( 6, \quad 9\right )$ and $\left ( \frac{6}{5}, \quad \frac{9}{5}\right )$

Let's divide the x-coordinates together.

$\frac{6}{\frac{6}{5}}=6\cdot \frac{5}{7}=5$

Since we are going from the smaller object to the larger object, we know that our scale factor is going to be greater than one.

So our final answer is going to be.

If the red figure is an object and the blue figure is an object after dilation, what is the scale factor?

Plot4

$\frac{1}{4}$

$- \frac{1}{4}$

Explanation

The best way to solve for the scale factor is to find the same vertex from each object, and divide their components.

Let's use $\left ( 1, \quad 9\right ) )$ and $\left ( \frac{1}{4}, \quad \frac{9}{4}\right)$

Let's divide the x-coordinates together.

$\frac{1}{\frac{1}{4}}=1\cdot \frac{4}{1}=4$

Since we are going from the smaller object to the larger object, we know that our scale factor is going to be greater than one.

So our final answer is going to be.

If the blue figure is an object and the red is an object after dilation, what is the scale factor?

Plot12

$\frac{1}{4}$

$- \frac{1}{4}$

Explanation

The best way to solve for the scale factor is to find the same vertex from each object, and divide their components.

Let's use $\left ( 3, \quad 9\right )$ and $\left ( \frac{3}{4}, \quad \frac{9}{4}\right )$

Let's divide the x-coordinates together.

$\frac{3}{\frac{3}{4}}=3\cdot \frac{4}{3}=4$

Since we are going from the larger object to the smaller object, we know that our scale factor is going to be less than one.

So our final answer is going to be.

$\frac{1}{4}$

If the blue figure is an object and the red is an object after dilation, what is the scale factor?

Plot5

$\frac{1}{3}$

$-\frac{1}{3}$

Explanation

The best way to solve for the scale factor is to find the same vertex from each object, and divide their components.

Let's use $( 4, \quad 9 )$ and $\left ( \frac{4}{3}, \quad 3\right )$

Let's divide the x-coordinates together.

$\frac{4}{\frac{4}{3}}=4\cdot \frac{3}{4}=3$

Since we are going from the larger object to the smaller object, we know that our scale factor is going to be less than one.

So our final answer is going to be.

$\frac{1}{3}$

If the blue figure is an object and the red is an object after dilation, what is the scale factor?

Plot7

$\frac{1}{5}$

$- \frac{1}{5}$

Explanation

The best way to solve for the scale factor is to find the same vertex from each object, and divide their components.

Let's use $\left ( 0, \quad 5\right )$ and $\left ( 0, \quad 1\right )$

Let's divide the x-coordinates together.

$\frac{5}{1}=5$

Since we are going from the larger object to the smaller object, we know that our scale factor is going to be less than one.

So our final answer is going to be.

$\frac{1}{5}$

If the red figure is an object and the blue figure is an object after dilation, what is the scale factor?

Plot2

$\frac{1}{5}$

$- \frac{1}{5}$

Explanation

The best way to solve for the scale factor is to find the same vertex from each object, and divide their components.

Let's use $\left ( 7, \quad 3\right )$ and $\left ( \frac{7}{5}, \quad \frac{3}{5}\right )$

Let's divide the x-coordinates together.

$\frac{7}{\frac{7}{5}}=7\cdot \frac{5}{7}=5$

Since we are going from the smaller object to the larger object, we know that our scale factor is going to be greater than one.

So our final answer is going to be.

If the blue figure is an object and the red is an object after dilation, what is the scale factor?

Plot11

$\frac{1}{5}$

$- \frac{1}{5}$

Explanation

The best way to solve for the scale factor is to find the same vertex from each object, and divide their components.

Let's use $\left ( 0, \quad 8\right )$ and $\left ( 0, \quad \frac{8}{5}\right )$

Let's divide the x-coordinates together.

$\frac{8}{\frac{8}{5}}=8\cdot \frac{5}{8}=5$

Since we are going from the larger object to the smaller object, we know that our scale factor is going to be less than one.

So our final answer is going to be.

$\frac{1}{5}$

If the blue figure is an object and the red is an object after dilation, what is the scale factor?

Plot6

$\frac{1}{2}$

$- \frac{1}{2}$

Explanation

The best way to solve for the scale factor is to find the same vertex from each object, and divide their components.

Let's use $\left ( 8, \quad 2\right )$ and $\left ( 4, \quad 1\right )$

Let's divide the x-coordinates together.

$\\frac{8}{4}=2$

Since we are going from the larger object to the smaller object, we know that our scale factor is going to be less than one.

So our final answer is going to be.

$\frac{1}{2}$

If the red figure is an object and the blue figure is an object after dilation, what is the scale factor?

Plot8

$\frac{1}{5}$

$- \frac{1}{5}$

Explanation

The best way to solve for the scale factor is to find the same vertex from each object, and divide their components.

Let's use $\left ( 0, \quad 1\right )$ and $\left ( 0, \quad \frac{1}{5}\right )$

Let's divide the x-coordinates together.

$\frac{1}{\frac{1}{5}}=1\cdot \frac{5}{1}=5$

Since we are going from the smaller object to the larger object, we know that our scale factor is going to be greater than one.

So our final answer is going to be.

Dilations Given Center and Scale Factor: CCSS.Math.Content.HSG-SRT.A.1

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