Common Core: High School - Geometry : Inscribed and Circumscribed Circle of Triangles: CCSS.Math.Content.HSG-C.A.3

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

varsity tutors app store varsity tutors android store

All Common Core: High School - Geometry Resources

6 Diagnostic Tests 83 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1

Example Question #1 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine , and .

Plot1

 

Possible Answers:

Correct answer:

Explanation:

 

Since this polygon is inscribed within a circle, we know a few things.

Plot1

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for , and .

Now let's solve for , and .

Example Question #2 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3


From the following picture, determine , and .


Plot2

 

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot2

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for , and .

Now let's solve for , and .

Example Question #3 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine  and .


Plot3

 

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot3

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for   and .

Now let's solve for   and .

Example Question #1 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine  and .


Plot4

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot4

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for   and .

Now let's solve for  and .

Example Question #5 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine  and .


Plot5

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot5

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for  and .

Now let's solve for  and .

 

 

Example Question #6 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine  and .


Plot6

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot6

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for  and .

Now let's solve for   and .

 

Example Question #7 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine , and .

Plot7

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot7

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for , and .

Now let's solve for , and .

Example Question #8 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine , and .

Plot8

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot8

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for , and .

Now let's solve for , and .

Example Question #9 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine , and .

Plot9

 

Possible Answers:

Correct answer:

Explanation:

Since this polygon is inscribed within a circle, we know a few things.

Plot9

The first thing we know is that the sum of all the interior angles must equal .

The last thing we know, the most important one is all opposite angles must equal .

Now we need to set up equations to solve for , and .

Now let's solve for , and .

Example Question #10 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3

From the following picture, determine \uptext{x}, and \uptext{y}.

 

Possible Answers:

Wrong Answer 1: y = 243.0 , x = 297.0

Wrong Answer 2: y = 297.0 , x = 243.0

Wrong Answer 3: y = 117.0 , x = 63.0

Wrong Answer 4: y = 117.0 , x = 63.0

Correct Answer: y = 63.0 , x = 117.0

Correct answer:

Correct Answer: y = 63.0 , x = 117.0

Explanation:

Explanation

INSERT PICTURE HERE

Since this polygon is inscribed within a circle, we know a few things.

The first thing we know is that the sum of all the interior angles must equal 360^{\circ}.

The last thing we know, the most important one is all opposite angles must equal 180^{\circ}.

Now we need to set up equations to solve for \uptext{x}, and \uptext{y}.

180 = y + 117.0

180 = x + 63.0

Now let's solve for \uptext{x}, and \uptext{y}.

y = 63.0

x = 117.0

← Previous 1

All Common Core: High School - Geometry Resources

6 Diagnostic Tests 83 Practice Tests Question of the Day Flashcards Learn by Concept
Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: