Special Lines in a Triangle, Part 1

In the triangle below, construct the following lines or segments:

• Perpendicular Bisector of BC
• Angle Bisector of angle A
• Median from A to side BC.
• Altitude through A

Then answer the questions at the bottom of the page.

• Which of these lines or segments always pass through a vertex in any triangle?

• Which of these lines always pass through a midpoint of a side?

• Which of these lines always end at or pass through an interior point of a side of the triangle?

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Special Lines in a Triangle, Part 2

Special Lines in an Isosceles Triangle

Construct the same lines as in the previous case for this isosceles triangle and answer the same questions.