Notes 4.7

Page 1

Find the value of x. x째 9

15

25째 15

1. 80 2. 45 3. 53 4. 11 5. 5 6. 6 7. 41


Objective: Draw medians, altitudes and perpendicular bisectors.


ď‚— A segment from a vertex to the midpoint of the

opposite side of a triangle

ď‚— Draw all possible medians of the following:


ď‚— The perpendicular segment from a vertex to the line

containing the opposite side of a triangle.

ď‚— Draw all possible altitudes of the following:


 Right Triangle  Two altitudes are the sides  One is in the middle of the triangle

 Obtuse Triangle  Two altitudes are outside the triangle  One altitude is inside the triangle


ď‚— A line perpendicular to a segment at its midpoint


ď‚— If a point lies on the perpendicular bisector of a

segment, then the point is equidistant from the endpoints of the segment. A

C

B m

ď‚— Meaning: If m is the perpendicular bisector of BC,

then AB = AC (or A is equidistant from B and C).


ď‚— If a point is equidistant from the endpoints of a

segment, then the point lies on the perpendicular bisector of the segment. A

C

B m

ď‚— Meaning: If AB = AC, then m is the perpendicular

bisector of BC.


ď‚— If a point lies on the bisector of an angle, then the

point is equidistant from the sides of the angle. A P

C

D

B

ď‚— Meaning: If point P lies on CD (which is an angle

bisector), then P is the same distance from ____ and ____.


 If a point is equidistant from the sides of an angle,

then the point lies on the bisector of the angle. A P

C

D

B

 Meaning: If AP = PB, then CD bisects ∠ACB.


1.Worksheet 4-7 2.Chapter 3 Review WS 3.Test Thursday!


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