| A | B |
|---|
| Theorem 5-5 LL (Leg - Leg) | If the legs of one right triangle are congruent to the corresponding legs of another right triangle, then the triangles are congruent., |
| Theorem 5-6 HA (Hypotenuse - Angle) | If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and corresponding acute angle of another right triangle, then the two triangles are congruent., |
| Theorem 5-7 LA (Leg - Angle) | If the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent., |
| Postulate 5-1 HL (Hypotenuse -Leg) | 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. |
| Theorem 5-8 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., |
| Theorem 5-9 | 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 |
| Theorem 5-10 | 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, |
| Theorem 5-11 | The perpendicular segment from a point to a line is the shortest segment from the point to the line., |
| Theorem 5-12 | The perpendicular segment from a point to a plane is the shortest segment from the point to the plane. |
| Theorem 5-12 Triangle Inequality Theorem | The sum of the lengths of any two sides of a triangle is greater than the length of the third side. |
