Conjecture

A diagram can suggest a result: for example, the two angles at the base of an isosceles triangle look equal. That suggestion is a conjecture. Measuring a few drawings may support it, but a geometric proof shows why it must hold for every triangle with the stated properties.

A conjecture is a result you think is true. To turn it into a , start with the information given and connect it to the conclusion through known geometric facts. At each step, say both what follows and why: for example, “these angles are equal because they are alternate angles on parallel lines”.