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## PowerPoint Slideshow about ' Warm up: Solve for x.' - anthea

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Tell whether each red segment is an altitude of the triangle.

The altitude is the “true height” of the triangle.

YES

NO

YES

Start to memorize…

- Indicate the special triangle segment based on its description

Drill & Practice

- Indicate which special triangle segment the red line is based on the picture and markings

Multiple ChoiceIdentify the red segment

Q1:

- Angle Bisector B. Altitude
- C. Median D. Perpendicular Bisector

Multiple ChoiceIdentify the red segment

Q2:

- Angle Bisector B. Altitude
- C. Median D. Perpendicular Bisector

Multiple ChoiceIdentify the red segment

Q3:

- Angle Bisector B. Altitude
- C. Median D. Perpendicular Bisector

Multiple ChoiceIdentify the red segment

Q4:

- Angle Bisector B. Altitude
- C. Median D. Perpendicular Bisector

Multiple ChoiceIdentify the red segment

Q5:

- Angle Bisector B. Altitude
- C. Median D. Perpendicular Bisector

Multiple ChoiceIdentify the red segment

Q6:

- Angle Bisector B. Altitude
- C. Median D. Perpendicular Bisector

Multiple ChoiceIdentify the red segment

Q7:

- Angle Bisector B. Altitude
- C. Median D. Perpendicular Bisector

Multiple ChoiceIdentify the red segment

Q8:

- Angle Bisector B. Altitude
- C. Median D. Perpendicular Bisector

Important Info about the Centroid

- The intersection of the medians.
- Found when you draw a segment from one vertex of the triangle to the midpoint of the opposite side.
- The center is two-thirds of the distance from each vertex to the midpoint of the opposite side.
- Centroid always lies inside the triangle.
- This is the point of balance for the triangle.

Important Info about the Orthocenter

- This is the intersection point of the altitudes.
- You find this by drawing the altitudes which is created by a vertex connected to the opposite side so that it is perpendicular to that side.
- Orthocenter can lie inside (acute), on (right), or outside (obtuse) of a triangle.

The intersection of the altitudes is called the ORTHOCENTER.

Important Info about the Incenter

- The angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle.
- Incenter is equidistant from the sides of the triangle.
- The center of the triangle’s inscribed circle.
- Incenter always lies inside the triangle

Important Information about the Circumcenter

- The perpendicular bisectors of a triangle intersect at a point that is equidistant from the vertices of the triangle.
- The circumcenter is the center of a circle that surrounds the triangle touching each vertex.
- Can lie inside an acute triangle, on a right triangle, or outside an obtuse triangle.

AO

ABI

PBCC

Medians/Centroid

Altitudes/Orthocenter

Angle Bisectors/Incenter

Perpendicular Bisectors/Circumcenter

Memorize these!
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