Mathematics Grade 5 15 min

Construct the inscribed or circumscribed circle of a triangle (Tutorial Only)

Construct the inscribed or circumscribed circle of a triangle (Tutorial Only)

What you'll learn

  • Apply geometric construction techniques with a compass and straightedge to accurately construct the inscribed circle of at least 3 different types of triangles (acute, obtuse, right).
  • Apply geometric construction techniques with a compass and straightedge to accurately construct the circumscribed circle of at least 3 different types of triangles (acute, obtuse, right).
  • Explain the relationship between the incenter and the inscribed circle, specifically defining the incenter as the intersection of angle bisectors and the radius as the perpendicular distance from the incenter to a side of the triangle.
  • Explain the relationship between the circumcenter and the circumscribed circle, specifically defining the circumcenter as the intersection of perpendicular bisectors and the radius as the distance from the circumcenter to a vertex of the triangle.

Tutorial Preview

1

What is a circumscribed circle?

2

What is an inscribed circle?

3

What special lines find the circle's center?

Sample Practice Questions

Easy
Is this a circumscribed circle?
0.Yes
1.No
Easy
Is this an inscribed circle?
0.Yes
1.No
Easy
This circle touches the triangle's...
0.vertices
1.sides

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Frequently asked questions

What grade level is "Construct the inscribed or circumscribed circle of a triangle (Tutorial Only)"?

Construct the inscribed or circumscribed circle of a triangle (Tutorial Only) is a Grade 5 Mathematics lesson on ExcelOS.

What will I learn in Construct the inscribed or circumscribed circle of a triangle (Tutorial Only)?

You'll be able to: Apply geometric construction techniques with a compass and straightedge to accurately construct the inscribed circle of at least 3 different types of triangles (acute, obtuse, right); Apply geometric construction techniques with….

Is "Construct the inscribed or circumscribed circle of a triangle (Tutorial Only)" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Construct the inscribed or circumscribed circle of a triangle (Tutorial Only)?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

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