Applying properties of triangles

Given: AM is the median,
AB=4x-6, BM=2x-2 , MC=3x-14 , CA=5x-20 . Find the value of x.

• x = 12
• x = 2
• x = 14
• x = -8

Tags

CCSS.HSG.CO.C.10

What is a Centroid?

• The point in which altitudes meet.

• The point in which perpendicular bisectors meet.

• The point in which medians meet.

• The point in which angle bisectors meet.

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CCSS.HSG.CO.C.10

The medians of a triangle are concurrent. Their common point is the__________.

• Centroid

• Incenter

• Orthocenter

• Circumcenter

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CCSS.HSG.CO.C.10

[Median and Centroid]
If BM = 21, what is PM?

• 3
• 14
• 10
• 7

Tags

CCSS.HSG.CO.C.10

If $\overline{DE}=100$  , what is the length of  $\overline{MP}$  ?

• 100

• 200

• 25

• 50

Tags

CCSS.HSG.CO.C.10

Compare segments QT and ST.

Is one bigger than the other or are they equal?

Hint: Which angle is larger?

Tags

CCSS.HSG.CO.C.10

The figure is an example of a(n) ...

• angle bisector

• midsegment

• median

• altitude

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CCSS.HSG.CO.C.10

The figure is an example of a(n) ...

• median
• altitude
• midsegment
• sangle bisector

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CCSS.HSG.CO.C.10

What is the special property of an centroid?

• Equidistant from each vertex of the triangle.

• Equidistant from each side of the triangle.

• Balancing point!

• Nothing really...

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CCSS.HSG.CO.C.10

The figure is an example of a(n) ...

• angle bisector

• midsegment

• altitude

• median

Tags

CCSS.HSG.CO.C.10