Do you understand the difference between a conjecture and a proof? Look at each statement on this page and decide if the claim is a conjecture or a proof. In your notebook, write down your reason for choosing conjecture or proof before clicking the flash card to check your answer.
If two angles are vertical angles, then they are congruent.
This is a conjecture--there are no logical statements provided in support of the claim. There are not even any examples provided.
If two adjacent angles are supplementary, then they form a straight angle. A straight angle is an angle with 180°, and two supplementary angles have a sum of 180°. If they are adjacent, then they share a side, which means the two other sides together make a straight angle.
This is a proof. A conjecture is given, and sound logic is used to verify that the statement is true.
The number of diagonals in a polygon is three less than its number of sides.
This is a conjecture. Although the examples seem to support the claim, there is no logical proof that this is always true.
Cards remaining:
