I'm going over math basics and came across this lesson about Postulates and Theorems. To those familiar with the test or who have taken it previously, is this something I should spend time memorizing? Or would it be a waste of time? Basically, how much of the following do I really need to know for the GMAT?
Postulates and Theorems
1. If unequal quantities are added to unequal quantities of the same order, the result is unequal quantities in the same order.
2. If equal quantities are added to, or subtracted from, unequal quantities, the results are unequal in the same order.
3. If unequal quantities are subtracted from equal quantities, the results are unequal in the opposite order.
4. Doubles or halves of unequals are unequal in the same order.
5. If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.
6. The sum of two sides of a triangle must be greater than the third side.
7. If two sides of a triangle are unequal, the angles opposite these sides are unequal, with the greater angle opposite the greater side.
8. If two angles of a triangle are unequal, the sides opposite these angles are unequal, with the greater side opposite the greater angle.
9. An exterior angle of a triangle is greater than either remote interior angle.
Thanks for your help as always.
Dave
Postulates and Theorems
1. If unequal quantities are added to unequal quantities of the same order, the result is unequal quantities in the same order.
2. If equal quantities are added to, or subtracted from, unequal quantities, the results are unequal in the same order.
3. If unequal quantities are subtracted from equal quantities, the results are unequal in the opposite order.
4. Doubles or halves of unequals are unequal in the same order.
5. If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.
6. The sum of two sides of a triangle must be greater than the third side.
7. If two sides of a triangle are unequal, the angles opposite these sides are unequal, with the greater angle opposite the greater side.
8. If two angles of a triangle are unequal, the sides opposite these angles are unequal, with the greater side opposite the greater angle.
9. An exterior angle of a triangle is greater than either remote interior angle.
Thanks for your help as always.
Dave
