Incenter of a Triangle Worksheet
Explore the properties and construction of the incenter of a triangle with this Grade 11 math worksheet, including angle bisectors and inscribed circles.
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Incenter of a Triangle
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Define the incenter of a triangle. What special property does it possess?
2. The incenter of a triangle is the intersection of which lines?
Medians
Altitudes
Angle bisectors
Perpendicular bisectors
3. The incenter is equidistant from the of the triangle.
4. The circle inscribed within a triangle, with its center at the incenter, is called the .
5. In triangle ABC, point I is the incenter. If ∠BAC = 70° and ∠ABC = 50°, find the measure of ∠BIC.
6. Describe the steps you would take to construct the incenter of a triangle using a compass and straightedge.
7. The incenter always lies outside the triangle.
True
False