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You need your journal The next section in your journal is called special segments in triangles You have a short quiz.

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Presentation on theme: "You need your journal The next section in your journal is called special segments in triangles You have a short quiz."— Presentation transcript:

1 You need your journal The next section in your journal is called special segments in triangles You have a short quiz

2 Special Segments in a Triangle

3 When 3 or more lines, rays, or segments intersect in the same pt
When 3 or more lines, rays, or segments intersect in the same pt. this is called the point of concurrency.

4 Median 3 vertex midpoint
A line segment that connects a ___________ to the ____________ of the opposite side. Every triangle has _________medians midpoint 3 Draw the picture

5 The intersection of all 3 medians is called the ______________
centroid Draw the picture

6 3 bisects Angle Bisector
A line segment that ___________ an angle of a triangle. Every triangle has ________angle bisectors 3 Draw the picture

7 The intersection of all 3 angle bisectors is called _____________
incenter Draw the picture

8 Perpendicular Bisector
midpoint A line segment that goes through the ____________ of a side and is _________________to that side. There are _____perpendicular bisectors in a triangle. perpendicular 3 Draw the picture

9 The point where the 3 perpendicular bisectors meet is called the ________________
circumcenter draw the picture

10 Altitude vertex height 3
A perpendicular segment from its ___________to its opposite side. It is also known as the ___________. There are _____altitudes in a triangle. height 3

11 The point where the 3 altitudes meet is called the _________________
orthocenter

12 Medians of a Triangle Theorem
The medians of a triangle intersect at a point that is ⅔ of the distance from each vertex to the midpoint of the opposite side.

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15 Angle Bisector Theorem: If a pt
Angle Bisector Theorem: If a pt. is on the bisector, then it is equidistant from the 2 sides of the angle.

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17 Perpendicular Bisectors Theorem
The perpendicular bisectors of a triangle intersect at a point that is equidistant from the vertices of the triangle

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