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 #5 : Use Distance Formula To Compute And Compare Perimeters And Areas Of Polygons: Ccss.Math.Content.Hsg Gpe.B.7

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

 

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that 

Here is a picture of the polygon

Plot5

Let's first find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now since we have the distances, we can simply sum up each edge to get the perimeter.

 

Example Question #6 : Use Distance Formula To Compute And Compare Perimeters And Areas Of Polygons: Ccss.Math.Content.Hsg Gpe.B.7

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

 

 

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Plot6

Let's first find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now since we have the distances, we can simply sum up each edge to get the perimeter.

Example Question #7 : Use Distance Formula To Compute And Compare Perimeters And Areas Of Polygons: Ccss.Math.Content.Hsg Gpe.B.7

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

 

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that 

Here is a picture of the polygon

Plot7

Let's first find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now since we have the distances, we can simply sum up each edge to get the perimeter.

 

Example Question #8 : Use Distance Formula To Compute And Compare Perimeters And Areas Of Polygons: Ccss.Math.Content.Hsg Gpe.B.7

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that 

Here is a picture of the polygon

Plot8

Let's first find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now since we have the distances, we can simply sum up each edge to get the perimeter.

 

Example Question #9 : Use Distance Formula To Compute And Compare Perimeters And Areas Of Polygons: Ccss.Math.Content.Hsg Gpe.B.7

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Plot9

Let's first find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now since we have the distances, we can simply sum up each edge to get the perimeter.

 

Example Question #10 : Use Distance Formula To Compute And Compare Perimeters And Areas Of Polygons: Ccss.Math.Content.Hsg Gpe.B.7

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

 

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

 Plot10

Let's first find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now since we have the distances, we can simply sum up each edge to get the perimeter.

Example Question #11 : Use Distance Formula To Compute And Compare Perimeters And Areas Of Polygons: Ccss.Math.Content.Hsg Gpe.B.7

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Plot11

Let's first find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now since we have the distances, we can simply sum up each edge to get the perimeter.

 

Example Question #12 : Use Distance Formula To Compute And Compare Perimeters And Areas Of Polygons: Ccss.Math.Content.Hsg Gpe.B.7

Find the perimeter of the following polygon with the points  , , , and  to two decimal places.

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Plot12

Let's first find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now let's find the distance between  and 

Now since we have the distances, we can simply sum up each edge to get the perimeter.

Example Question #1 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

If a circle has a circumference of  what is the radius?

Possible Answers:

Correct answer:

Explanation:

In order to find the radius of a circle, we need to recall the equation that involves both the radius and circumference.

Since we are given the circumference, we simply substitute 33 for , and solve for .

Divide by  on each side to get

Thus the radius is

Example Question #2 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

If a cylinder has a radius of  and a height of  what is the volume?

Possible Answers:

Correct answer:

Explanation:

In order to find the volume, we need to recall the equation for the volume of a cylinder.

Since we are given the radius, and the height, we can simply plug in those values into the equation.

 

Thus the volume is

All Common Core: High School - Geometry Resources

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