| A | B |
|---|
| HL (Hypotenuse-Leg Theorem) | If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent. |
| Exterior Angle Inequality Theorem | If an angle is an exterior angle of a triangle, then its measure is greater than the measure of either of its corresponding remote interior angles. |
| If one side of a triangle is longer than another side, | then the angle opposite the longer side has a greater measure than the angle opposite |
| If one angle of a triangle has a greater measure than another angle, | then the side opposite the greater angle is longer than the side opposite the lesser angle, |
| The perpendicular segment from a point to a line | is the shortest segment from the point to the line. |
| The perpendicular segment from a point to a plane | is the shortest segment from the point to the plane. |
| Triangle Inequality Theorem | The sum of the lengths of any two sides of a triangle is greater than the length of the third side. |
| Subtraction Property of Inequality | If a > b, then a – c > b – c. |
| Addition Property of Inequality | If a > b, then a + c > b + c. |
| Transitive Property of Inequality | If a > b and b > c, then a > c. |
