Relationships within Triangles

If G is the centroid of triangle ABC and BF= 10. Find the length of FA.

• 20
• 10
• 5
• Not Enough Information

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.GPE.B.6

If G is the centroid of triangle ABC and AC= 32. Find the length of CE.

• 16
• 32
• 48
• Not Enough Information

Tags

CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and AG= 16. Find the length of GD.

• 8
• 16
• 24
• Not Enough Information

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.GPE.B.6

The centroid is ________________ found outside a triangle.

• Sometimes
• Always
• Never

Tags

CCSS.HSG.CO.C.10

If LN = 5, then AC = ______.

• 5
• 10
• 15
• 25

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Complete the statement, the centroid cuts each ___ into two segments.  The shorter segment is ____ the length of the longer segment.

• median, 1/3
• incenter, 2/3
• median, 3/4
• median, 1/2

Tags

CCSS.HSG.CO.C.10

The Circumcenter of a triangle is equidistant to the _______ of the triangle.

• Sides
• Midpoints
• Angles
• Perpendicular Bisectors

Tags

CCSS.HSG.C.A.3

CCSS.HSG.CO.C.9

The orthocenter is the intersection of the ______________.

• Medians
• Perpendicular Bisectors
• Altitudes
• Angle Bisectors

The ___________________ is equidistant from the sides of the triangle.

• Centroid 
• Incenter 
• Orthocenter
• Circumcenter

Tags

CCSS.HSG.C.A.3

The ___________ is considered the balancing point of the triangle.

• Centroid
• Incenter
• Orthocenter
• Circumcenter

Tags

CCSS.HSG.CO.C.10