Centroid and Orthocenter Algebraically

What is the point of concurrency?

• Orthocenter

• Incenter

• Circumcenter

• Centroid

Tags

CCSS.HSG.C.A.3

CCSS.HSG.CO.C.10

For an obtuse triangle, the altitudes meet where?

• Outside the triangle

• Inside the triangle

• On the triangle

• the incenter

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

• 4

• 6

• 8

• Not enough information

Tags

CCSS.HSG.CO.C.10

Which of the following points is the BALANCE POINT of a triangle. The correct method is shown in the triangle if you look at the markings.

• A. Circumcenter

• B. Centroid

• C. Orthocenter

• D. Midpoint

Tags

CCSS.HSG.CO.C.10

Find x, y, and z.

• x=4.75, y=6, z=1

• x=6, y=6, z=6

• x=1, y=4.75, z=6

• x=4.75, y=4.75, z=4.75

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

Given: R(–4, 8), S(–1, 5), T(5, 5), what is the orthocenter?

• Cannot be determined

• (-4, 4)

• (-4, -4)

• (4, -4)

Tags

CCSS.HSG.GPE.B.4

At what point should she place the string?

• (3, 4)

• (4, 3)

• (0, 8)

• (3, 0)

Tags

CCSS.6.G.A.3

CCSS.6.NS.C.8

Find the coordinates of the centroid of the triangle with the given vertices.

 A(–1, 11), B(3, 1), C(7, 6)

• (7,6)

• (3, 1)

• (6, 3)

• (3, 6)