Term
|
Definition
A quantity is congruent (equal) to itself. a=a
|
|
|
Term
|
Definition
|
|
Term
|
Definition
| If a = b and b = c, then a = c |
|
|
Term
Side-Side-Side (SSS) Congruence
|
|
Definition
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. |
|
|
Term
| Side-Angle-Side (SAS) Congruence |
|
Definition
| If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. |
|
|
Term
| Angle-Side-Angle (ASA) Congruence |
|
Definition
| If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. |
|
|
Term
| Angle-Angle-Side (AAS) Congruence |
|
Definition
| If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. |
|
|
Term
| Hypotenuse-Leg (HL) Congruence (right triangle) |
|
Definition
| If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the two right triangles are congruent. |
|
|
Term
|
Definition
| If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. |
|
|
Term
| Corresponding Angles Converse |
|
Definition
| If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel. |
|
|
Term
| Alternate Interior Angles |
|
Definition
| If two parallel lines are cut by a transversal, then the alternate interior angles are congruent. |
|
|
Term
| Alternate Exterior Angles |
|
Definition
| If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent. |
|
|
Term
|
Definition
| If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary. |
|
|
Term
Alternate Interior Angles
Converse |
|
Definition
| If two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel. |
|
|
Term
Alternate Exterior Angles
Converse |
|
Definition
| If two lines are cut by a transversal and the alternate exterior angles are congruent, the lines are parallel. |
|
|
Term
| Interiors on Same Side Converse |
|
Definition
| If two lines are cut by a transversal and the interior angles on the same side of the transversal are supplementary, the lines are parallel. |
|
|
