Common Core: High School - Geometry : High School: Geometry

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 #11 : 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?

Plot12

 

Possible Answers:

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  and

Let's divide the x-coordinates together.

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.

Example Question #121 : High School: Geometry

Which of the other triangles is similar to ?

Plot1

Possible Answers:

Plot1.1

None of the above

Plot1.3

Plot1.2

Correct answer:

Plot1.1

Explanation:

The correct image is as follows.

Plot1.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Looking at the original picture,

Plot1

the two known angles can be added together. Recall all interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Example Question #121 : High School: Geometry

Which of the other triangles is similar to ?

Plot2

 

 

Possible Answers:

Plot2.1

Plot2.2

Plot2.3

None of the above

Correct answer:

Plot2.1

Explanation:

First perform some simple math to figure out what the missing angle is in the original picture.

Plot2

First add the two known angles together and recall that the interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

Plot2.1

This is the correct answer because it has similar angles. 

The other pictures don't have similar answers.

Example Question #121 : High School: Geometry

Which of the other triangles is similar to ?


Plot3

Possible Answers:

Plot3.2

None of the answers.

Plot3.1

Plot3.3

Correct answer:

Plot3.1

Explanation:

First perform some simple math to figure out what the missing angle is in the original picture.

Plot3

First add the two known angles together and recall that the interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

Plot3.1

This is the correct answer because it has similar angles. 

The other pictures don't have similar answers.

 

 

Example Question #124 : High School: Geometry

Which of the other triangles is similar to ?


Plot4

 

Possible Answers:

Plot4.1

None of the answers.

Plot4.2

Plot4.3

Correct answer:

Plot4.1

Explanation:

Plot4.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

First add the two known angles together and then recall that all interior angles of a triangle must have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Example Question #3 : Similarity Transformations Given Two Figures: Ccss.Math.Content.Hsg Srt.A.2

Which of the other triangles is similar to ?

Plot5

 

Possible Answers:

Plot5.3

None of the answers.

Plot5.2

Plot5.1

Correct answer:

Plot5.1

Explanation:

Plot5.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Add the two known angles together and then recall that all interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles. 

The other pictures don't have similar answers.

Example Question #4 : Similarity Transformations Given Two Figures: Ccss.Math.Content.Hsg Srt.A.2

Which of the other triangles is similar to ?


Plot6

Possible Answers:

None of the answers.

Plot6.2

Plot6.3

Plot6.1

Correct answer:

Plot6.1

Explanation:

Plot6.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

First, add the two known angles together and recall that the interior angles of a triangle have a sum of 180.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Example Question #5 : Similarity Transformations Given Two Figures: Ccss.Math.Content.Hsg Srt.A.2

Which of the other triangles is similar to?

 

 Plot7

Possible Answers:

Plot7.2

None of the answers.

 Plot7.1

Plot7.3

Correct answer:

 Plot7.1

Explanation:

Plot7.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Adding the two know angles together and recalling that all interior angles of a triangle have a sum of 180 results in the following.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

 

Example Question #6 : Similarity Transformations Given Two Figures: Ccss.Math.Content.Hsg Srt.A.2

Which of the other triangles is similar to ?


Plot9

Possible Answers:

Plot7.1

None of the answers.

Plot9.3


Plot9.1

Correct answer:


Plot9.1

Explanation:

Plot9.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Adding the two know angles and recalling that all interior angles of a triangle have a sum of 180 degrees, the following equation is constructed.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

Example Question #7 : Similarity Transformations Given Two Figures: Ccss.Math.Content.Hsg Srt.A.2

Which of the other triangles is similar to ?


Plot10

Possible Answers:

Plot10.3

None of the answers.

Plot10.2

Plot10.1

Correct answer:

Plot10.1

Explanation:

Plot10.1

This is the correct answer because it has similar angles, and if we do some simple math, we can figure out what the missing angle is in the original picture.

Adding the two know angles and recalling that all interior angles of a triangle have a sum of 180 degrees, the following equation is constructed.

Now solve for B, to figure out what the missing angle is.

Now if we look at the missing angle in the picture, it has the same angles.

The other pictures don't have similar answers.

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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