# Geom - chpt 3

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McDougal-Littell - Geometry chapter 3 terms & theorems

### congruent triangles

all pairs of corresponding parts are congruent

### congruent polygons

all pairs of corresponding parts are congruent

### Reflexive Property of Congruence

an angle or segment is congruent to itself

### SSS

if there exists a correspondence between two triangles such that three sides of one are congruent to the other, then the triangles are congruent

### SAS

if there exists a correspondence between two triangles such that two sides and an included angle of one are congruent to the other, then the triangles are congruent

### ASA

if there exists a correspondence between two triangles such that two angles and an included side of one are congruent to the other, then the triangles are congruent

### CPCTC

Corresponding parts of congruent triangles are congruent

line segment with endpoints on the circle and the center of the circle

### median

line segment drawn from a vertex of a triangle to the midpoint of the opposite side

### altittude

line segment drawn from a vertex of a triangle perpendicular to the opposite side

two points ....

### auxiliary line

two points determine a line

### scalene triangle

a triangle where no sides are congruent

### isosceles triangle

a triangle with at least two congruent sides

### equilateral triangle

a triangle with all sides congruent

### equiangular triangle

a triangle with all angles congruent

### acute triangle

a triangle where all three angles are acute

### right triangle

a triangle with one right angle

### obtuse triangle

a triangle with one obtuse angle

### hypotenuse

the longest side in a right triangle

### hypotenuse

the side opposite the right angle in a right triangle

### legs

the sides that form a right angle in a right triangle

### the angles opposite them are congruent

if two sides in a triangle are congruent, then ...

### the sides opposite them are congruent

if two angles in a triangle are congruent, then ....

### H-L

if there exists a correspondence between two right triangles such that the hypotenuse and one leg are congruent to the other, then the triangles are congruent

### the angles opposite them are not congruent

if two sides of a triangle are not congruent ....

### the sides opposite them are not congruent

if two angles of a triangle are not congruent ...

### the longer side

the larger angle in a triangle is opposite ...

### the larger angle

the longer side in a triangle is opposite ...

Example: