Practice Circumcenter (o) (6.3) - Properties of Triangles - IB 10 Mathematics – Group 5, Geometry & Trigonometry

Practice: Circumcenter (O)

Lesson 6.3Properties of Triangles

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9 questions

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6 sample questions

Question 1.
What is the circumcenter of a triangle?
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Think about where the lines that cut each side in half at a right angle would meet.
Question 2.
In an acute triangle, where is the circumcenter located?
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Consider the angles formed by the sides of the triangle.
3Question 3.
What is the circumcenter?
- The midpoint of a side
- The intersection of the medians
- The intersection of the perpendicular bisectors
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Remember its definition and its specific properties.
4Question 4.
The circumcenter of a right triangle is located where?
- Inside the triangle
- At the midpoint of the hypotenuse
- Outside the triangle
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Think about the special properties of right triangles.
Question 5.
A triangle has vertices A(-1, 2), B(3, 10), and C(8, 3). Find the circumcenter of this triangle.
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Use the midpoint formula and slope to get the right equations.
Question 6.
Explain geometrically why the circumcenter lies outside the triangle for obtuse angles with a specific example.
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Visualize how obtuse angles create larger angles opposite shorter sides.

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