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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the circumcenter of a triangle?
💡 Hint: Think about where the lines that cut each side in half at a right angle would meet.
Question 2
Easy
In an acute triangle, where is the circumcenter located?
💡 Hint: Consider the angles formed by the sides of the triangle.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the circumcenter?
- The midpoint of a side
- The intersection of the medians
- The intersection of the perpendicular bisectors
💡 Hint: Remember its definition and its specific properties.
Question 2
The circumcenter of a right triangle is located where?
- Inside the triangle
- At the midpoint of the hypotenuse
- Outside the triangle
💡 Hint: Think about the special properties of right triangles.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A triangle has vertices A(-1, 2), B(3, 10), and C(8, 3). Find the circumcenter of this triangle.
💡 Hint: Use the midpoint formula and slope to get the right equations.
Question 2
Explain geometrically why the circumcenter lies outside the triangle for obtuse angles with a specific example.
💡 Hint: Visualize how obtuse angles create larger angles opposite shorter sides.
Challenge and get performance evaluation