math test 4

why

How do you prove triangles congruent?

ASA, SSS, AAS, SAS, hy-leg

median

a segment connecting the vertex of a triangle to the m of its opposite side

altitude of a triangle

perpendicular distance between a vertex and the line containing the opposite side

perpendicular bisector of a triangle

a line that passed through the m of / bisects a segment and is perpendicular to the segment

scalene

no congruent sides

isosceles

2 congruent sides

equilateral

all of the sides are congruent

if a point lies on the angle bisector, then..

the point is equidistant from the sides of the angle

if a point is equidistant from the sides of the angle…

then the point lies on the angle bisector

if a point lies on the perpendicular bisector,

then the point is equidistant from the endpoints

if the point is equidistant from the endpoints of a segment,

then the point lies on the perpendicular bisector

if a line is perpendicular to a plane,

then the line is perpendicular to all of the lines that pass through the point of intersection and and are on the plane

if 2 sides of a triangle are congruent,

then the angles opposite those sides are congruent

an equilateral triangle is also

equiangular

the bisector of a vertex angle of an isosceles triangle is..

perpendicular to the base at its midpoint

if 2 angles of a triangle are congruent, then

the sides opposite those angles are congruent