Centroid and Orthocenter

Question 1

The three angle bisectors of ΔABC meet at P. Drag the vertices around to form different triangles, and then make a conjecture.Which segments appear to be equal in length? Check all that apply.XP = YP for an acute triangleXP = ZP for an acute triangleYP = ZP for an obtuse triangleZP = XP for a right triangleXP = YP for an obtuse triangle

Revolt · Accepted Answer

XP = YP for an acute triangle; XP = ZP for an acute triangle; YP = ZP for an obtuse triangle; ZP = XP for a right triangle

Question 2

mSYW = °

Revolt · Accepted Answer

39

Question 3

mWXY = °

Revolt · Accepted Answer

24

Question 4

SU =

Revolt · Accepted Answer

5

Question 5

Which statements are true? Check all that apply.

Revolt · Accepted Answer

ZX bisects ∠WXY; The circle inscribed in ΔWXY will have a center at point Z.; Point Z is equidistant from the sides of ΔWXY.

Centroid and Orthocenter Answers

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