+
Related Flashcards
Related Topics
Cards In This Set
| Front | Back |
|
4.1 Triangle Sum Theorem
|
The sum of the measures of the interior angles of a triangle is 180 degrees.
|
|
4.1 Corollary
|
The acute angles of a right triangle are complementary.
|
|
4.2 Exterior Angle Theorem
|
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.
|
|
4.3 Third Angles Theorem
|
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.
|
|
4.4 Properties of Triangle Congruence
|
Reflexive:
Symmetric:
Transitive:
|
|
4.5 Hypotenuse-Leg (HL) Congruence Theorem
|
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent.
|
|
4.6 Angle-Angle-Side (AAS) Congruence Theorem
|
If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.
|
|
4.7 Base Angles Theorem
|
If two sides of a triangle are congruent, then the angles opposite them are congruent.
|
|
4.7 Corollary
|
If a triangle is equilateral, then it is equiangular.
|
|
4.8 Converse of the Base Angles Theorem
|
If two angles of a triangle are congruent, then the sides opposite them are congruent.
|
|
4.8 Corollary
|
If a triangle is equiangular, then it is equilateral.
|
