All Common Core: High School - Geometry Resources
Example Questions
Example Question #1 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3
From the following picture, determine , and .
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 .
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 .
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 .
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 .
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 .
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 #4 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3
From the following picture, determine and .
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 .
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 .
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 .
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 .
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 .
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 .
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 .
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 .
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 .
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 \uptext{x}, and \uptext{y}.
Wrong Answer 3: y = 117.0 , x = 63.0
Correct Answer: y = 63.0 , x = 117.0
Wrong Answer 1: y = 243.0 , x = 297.0
Wrong Answer 2: y = 297.0 , x = 243.0
Wrong Answer 4: y = 117.0 , x = 63.0
Correct Answer: y = 63.0 , x = 117.0
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
Example Question #10 : Inscribed And Circumscribed Circle Of Triangles: Ccss.Math.Content.Hsg C.A.3
From the following picture, determine , and .
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 .
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 .