Practice Incenter (i) (6.2) - Properties of Triangles - IB 10 Mathematics

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6 sample questions

Question 1.
What is the incenter of a triangle?
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Think about the intersection of the bisectors.
Question 2.
True or False: The incenter is equidistant from the triangle's vertices.
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Consider the definition of incenter.
3Question 3.
What is the incenter of a triangle?
- A point inside the triangle
- The midpoint of the hypotenuse
- The center of the circumscribed circle
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Think about the properties of triangle centers.
4Question 4.
True or False: The incenter is the center of the inscribed circle.
- True
- False
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What does 'inscribed' mean?
Question 5.
Given triangle ABC where angle A is 80 degrees, B is 70 degrees, and C is 30 degrees, construct the triangle and find the incenter. Provide a diagram.
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Use a protractor to measure the angles accurately.
Question 6.
Calculate the inradius of a triangle with sides 8, 15, and 17 units. Show all your calculations.
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Use Heron's formula for the area which helps you determine the inradius.

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