Geometry Review all 4 points of concurrency Classwork

Given point K is the centroid of the triangle ABC. If segment BK = 42, find segment BE.

Note: Centroid is the point where 3 medians meet in a triangle.

• BE = 21

• BE = 63

• BE = 42

• BE = 7

Tags

CCSS.HSG.CO.C.10

Given point K is the centroid of the triangle ABC. If segment KD = 17, find segment AD.

Note: Centroid is the point where 3 medians meet in a triangle.

• AD = 34

• AD = 17

• AD = 51

• AD = 68

Tags

CCSS.HSG.CO.C.10

Determine whether the orthocenter will be inside, outside, or on the triangle MNO.

Note: Orthocenter is the point where 3 altitudes meet.

• Inside

• Outside

• On the triangle

Tags

CCSS.HSG.CO.C.10

Determine whether the orthocenter will be inside, outside, or on the triangle QRS.

Note: Orthocenter is the point where 3 altitudes meet.

• Inside

• Outside

• On the triangle

Tags

CCSS.HSG.C.A.3

Given segment TH is the perpendicular bisector of segment UV, segment UH = 4x + 10, and segment HV = 5x + 4. Find x and the length of segment UH.

• x = 4 and UH = 26

• x = 6 and UH = 34

• x = 5 and UH = 30

• x = 7 and UH = 38

Tags

CCSS.HSG.CO.C.9

Given segment TH is the perpendicular bisector of segment UV, segment UH = 6x - 4, and segment HV = 2x + 12. Find x and the length of segment HV.

• x = 5 and HV = 22

• x = 2 and HV = 16

• x = 3 and HV = 18

• x = 4 and HV = 20

Tags

CCSS.HSG.CO.C.9

• 11.7

• 4.2

• 8.6

• 13.5

Tags

CCSS.HSG.CO.C.9

• 2.7

• 30

• 24

• 13.5

Tags

CCSS.HSG.CO.C.9