5 2 SPECIAL SEGMENTS IN TRIANGLES PERPENDICULAR BISECTOR

5. 2 - SPECIAL SEGMENTS IN TRIANGLES

PERPENDICULAR BISECTOR OF A TRIANGLE

PERPENDICULAR BISECTOR OF A TRIANGLE 3 Every triangle has _____ perpendicular bisectors. (one for each side of the triangle) Does one of the endpoints of a perpendicular bisector have to be a vertex of the triangle? ____ Yes or no? What do you think? Look at the diagrams above

ANGLE BISECTOR OF A TRIANGLE bisects one of the angles of the triangle 3 Yes! Angle bisectors must go through the vertex of the angle. The vertex of the angle and the vertex of the triangle are the same point!

MEDIAN endpoints are a vertex and the midpoint of the opposite side 3 Yes, a ⊥ bis. can be a median. Name the triangle and the segment where this happens on this page. Yes or no? What does the definition say?

ALTITUDE a vertex that is ⊥ to the opposite side or to the line containing the opposite side ⋆⋆In right triangles, two of the altitudes are the legs of the triangles.

A segment from a vertex that is ⊥ to the opposite side or to the line containing the opposite side ALTITUDE ⋆⋆These can be tricky – two of the altitudes are segments OUTSIDE of the triangle. We have to extend the sides to be able to draw the altitude.

ALTITUDE Yes or no? Look back at the altitudes in each case of acute, right, and obtuse triangles. 3 Yes or no? What does the definition say?

all the same segment Copy the bullet points and fill in these blanks with theorems/terms

CLOSURE QUESTION – COMPLETE ON YOUR WARMUP PAPER