Special Segments of Triangles

Given the pictures and markings, categorize each picture.

Groups:

(a) Median

,

(b) Altitude

,

(c) Perpendicular Bisector

,

(d) Angle Bisector

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CCSS.HSG.CO.C.9

Label how each point of concurrency is created.

a

b

c

d

altitude

perpendicular bisectors

medians

angle bisectors

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CCSS.HSG.C.A.3

The centroid cuts each median into ​ (a)   segments.  The shorter segment is ​ (b)   the length of the entire segment. The longer segment is​ (c)   of the entire length.

• 4/3
• 3/4
• two
• 1/3
• 2/3
• 1/2
• three
• one
• six

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CCSS.HSG.CO.C.10

• 15
• 30
• 18
• 45
• 6
• 12
• 4
• 9

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CCSS.HSG.CO.C.10

• 13
• 30
• 18
• 45
• 6
• 12
• 4
• 9
• 26

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CCSS.HSG.CO.C.10

• 36
• 30
• 18
• 45
• 6
• 12
• 4
• 9
• 54

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CCSS.HSG.CO.C.10

• 6
• 18
• 12
• 3
• 9
• 31
• 10
• 14

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CCSS.HSG.C.A.3

Name the point of concurrency shown.

• circumcenter

• incenter

• centroid

• orthocenter

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CCSS.HSG.C.A.3

10. What type of lines are shown?

• perpendicular bisectors
• medians
• altitudes
• angle bisectors
• only Coach Wagner knows

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CCSS.HSG.CO.C.10

• DC = 4

• DC = 1

• DC = 2

• DC = 3

• DC = 6

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CCSS.HSG.CO.C.9