Identifying Special Segments in Triangles

Which of the following describes a perpendicular bisector of a triangle?

• A segment that is perpendicular to the side of a triangle at its midpoint.

• A segment with endpoints at the vertex and midpoint of the opposite side.

• A segment that connects two midpoints of two sides.

• A segment that connects the vertex and the opposite side at 90 degrees. 

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CCSS.HSG.CO.C.9

Which of the following describes an altitude of a triangle?

• A segment that passes through the middle of the triangle.

• A segment with endpoints at the vertex and midpoint of the opposite side.

• A segment that connects two midpoints of two sides.

• A segment that connects the vertex and the opposite side at 90 degrees. 

What is the only special triangle segment that does not have to go through a vertex?

• Median

• Altitude

• Angle Bisector

• Perpendicular Bisector

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CCSS.HSG.CO.C.10

Which of the following describes a median of a triangle?

• A segment that passes through the middle of the triangle.

• A segment with endpoints at the vertex and midpoint of the opposite side.

• A segment that connects two midpoints of two sides.

• A segment that connects the vertex and the opposite side at 90 degrees. 

What is true about a perpendicular bisector?

• Cuts the side of a triangle into 2 congruent parts.

• It is perpendicular to the side of a triangle.

• It passes through the midpoint of the side of the triangle.

• All of the above

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CCSS.HSG.CO.C.9

The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.

• one third

• two thirds

• three fourths

• one half

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CCSS.HSG.CO.C.10

In which type of triangle is it possible for a special segment to be OUTSIDE of the triangle?

• Acute Triangles

• Right Triangles

• Obtuse Triangles

• This never happens.

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CCSS.HSG.CO.C.10

In Obtuse Triangles, which special segment can be outside of the triangle?

• Midsegments

• Medians

• Altitudes

• Perpendicular Bisectors

Tags

CCSS.HSG.CO.C.11

If AG = 2x + 21 and RE = x + 10.5, 
what is NG?

• 16

• 8

• 26.5

• 10.5

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CCSS.HSG.CO.C.10

PQ is the perpendicular bisector of MN. What is QN?

• 7

• 14

• 10.5

• 28

Tags

CCSS.HSG.CO.C.9