Geometry Practice: Section 5.3Finding Centroids and Orthocenters

Find the length of the segment given the following information:

Segment GL?

• 10

• 12

• 13

• 18

Tags

CCSS.HSG.CO.C.9

Find the length of the segment given the following information:

Segment PL?

• 2

• 4

• 8

• 12

Tags

CCSS.HSG.CO.C.10

Find the length of the segment given the following information:

Segment HL?

• 2

• 4

• 5

• 12

Tags

CCSS.HSG.CO.C.9

Find the length of the segment given the following information:

Segment GJ?

• 2

• 11

• 5

• 13

Tags

CCSS.HSG.CO.C.10

What is the "area" of triangle GHJ? Hint, you have to find the base of the triangles length and the height of the triangle. A = 1/2 bh

• 12 square units

• 24 square units

• 36 square units

• 60 square units

Tags

CCSS.6.G.A.1

Find the centroid of the triangle with the following vertices:

A (0,-4 ), B (14, 6 ), C (16, -8 )

• (10, -6)

• (10, -2)

• (10, -4)

• (-2, 10)

Find the centroid of the triangle with the following vertices:

A (8,-1 ), B (2,7 ), C (5,-3 )

• (5, 1)

• (5, -1)

• (10, 1)

• (-5, -1)

In the plan for a table, the triangular top has coordinates (0,10), (4,0), and (8,14). The tabletop will rest on a single support placed beneath it. Where should the support be attached to that the table is balanced? Hint, find the centroid of the triangle...

• (8,4)

• (2,6)

• 
  (4,8)

• (6,2)

Tags

CCSS.HSG.C.A.3

Find the orthocenter of a triangle with vertices:

A (-2, -2 ), B (6,10 ), C (6, -6 )

• (2,0)

• (-2,0)

• (0, -4)

• (0, -2)

Tags

CCSS.HSG.C.A.3

Find segment AG

• 2

• 4

• 6

• 8

Tags

CCSS.HSG.CO.C.10