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Common Core: High School - Geometry : Similarity, Right Triangles, & Trigonometry

Study concepts, example questions & explanations for Common Core: High School - Geometry

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All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Similarity, Right Triangles, & Trigonometry

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

Plot2

Possible Answers:

$\frac{1}{5}$

$- \frac{1}{5}$

Correct answer:

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.

Report an Error

Example Question #2 : Similarity, Right Triangles, & Trigonometry

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

Plot1

Possible Answers:

$\frac{1}{5}$

$- \frac{1}{5}$

Correct answer:

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.

Report an Error

Example Question #2 : Similarity, Right Triangles, & Trigonometry

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

Plot4

Possible Answers:

$\frac{1}{4}$

$- \frac{1}{4}$

Correct answer:

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.

Report an Error

Example Question #2 : 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?

Plot3

Possible Answers:

$\frac{1}{3}$

$- \frac{1}{3}$

Correct answer:

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 $\left ( 8, \quad 9\right )$ and $\left ( \frac{8}{3}, \quad 3\right )$

Let's divide the x-coordinates together.

$\frac{8}{\frac{8}{3}}=8\cdot \frac{3}{8}=3$

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.

Report an Error

Example Question #1 : Similarity, Right Triangles, & Trigonometry

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

Plot5

Possible Answers:

$-\frac{1}{3}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

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.

$\frac{1}{3}$

Report an Error

Example Question #5 : Similarity, Right Triangles, & Trigonometry

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

Plot6

Possible Answers:

$- \frac{1}{2}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

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.

$\frac{1}{2}$

Report an Error

Example Question #4 : Dilations Given Center And Scale Factor: Ccss.Math.Content.Hsg Srt.A.1

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

Plot7

Possible Answers:

$\frac{1}{5}$

$- \frac{1}{5}$

Correct answer:

$\frac{1}{5}$

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.

$\frac{1}{5}$

Report an Error

Example Question #2 : Similarity, Right Triangles, & Trigonometry

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

Plot8

Possible Answers:

$- \frac{1}{5}$

$\frac{1}{5}$

Correct answer:

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.

Report an Error

Example Question #1 : Dilations Given Center And Scale Factor: Ccss.Math.Content.Hsg Srt.A.1

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

Plot9

Possible Answers:

$- \frac{1}{3}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

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 $\left ( 7, \quad 8\right )$ and $\left ( \frac{7}{3}, \quad \frac{8}{3}\right )$

Let's divide the x-coordinates together.

$\frac{7}{\frac{7}{3}}=7\cdot \frac{3}{7}=3$

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.

$\frac{1}{3}$

Report an Error

Example Question #10 : Similarity, Right Triangles, & Trigonometry

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

Plot10

Possible Answers:

$- \frac{1}{2}$

$\frac{1}{2}$

Correct answer:

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.

Report an Error

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All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: High School - Geometry : Similarity, Right Triangles, & Trigonometry

Study concepts, example questions & explanations for Common Core: High School - Geometry

All Common Core: High School - Geometry Resources

Example Questions

Example Question #1 : Similarity, Right Triangles, & Trigonometry

Example Question #2 : Similarity, Right Triangles, & Trigonometry

Example Question #2 : Similarity, Right Triangles, & Trigonometry

Example Question #2 : Dilations Given Center And Scale Factor: Ccss.Math.Content.Hsg Srt.A.1

Example Question #1 : Similarity, Right Triangles, & Trigonometry

Example Question #5 : Similarity, Right Triangles, & Trigonometry

Example Question #4 : Dilations Given Center And Scale Factor: Ccss.Math.Content.Hsg Srt.A.1

Example Question #2 : Similarity, Right Triangles, & Trigonometry

Example Question #1 : Dilations Given Center And Scale Factor: Ccss.Math.Content.Hsg Srt.A.1

Example Question #10 : Similarity, Right Triangles, & Trigonometry

All Common Core: High School - Geometry Resources

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