You will see conditional statements in geometry all the time. If my dog barks, then my dog observed something that excited him.The conclusion begins with 'then,' like this: The hypothesis is the part that sets up the condition leading to a conclusion. Creating Conditional StatementsĬonditional statements begin with 'If' to introduce the hypothesis. You can test the hypothesis immediately: Are you 9 meters tall? Do squares have three sides? These conditional statements result in false conclusions because they started with false hypotheses. If a square has three sides, then its interior angles add to 180 °.If I am 9 meters tall, then I can play basketball.Here are examples of conditional statements with false hypotheses: Does the polygon have four sides? Are the triangles congruent? If the hypothesis is false, the conclusion is false. If triangles are congruent, then they have equal corresponding angles.If a polygon has exactly four sides, then it is a quadrilateral.If my cat is hungry, then she will rub my leg.Conditional statements start with a hypothesis and end with a conclusion. These conditions lead to a result that may or may not be true. If I do not eat a pint of ice cream, then I will not gain weight InverseĬonditional statements set up conditions that could be true or false.If I gained weight, then I ate a pint of ice cream.If I eat a pint of ice cream, then I will gain weight.To create the inverse of a conditional statement, turn both hypothesis and conclusion to the negative. To create the converse of a conditional statement, switch the hypothesis and conclusion. Converse and inverse are connected concepts in making conditional statements. Neither of those is how mathematicians use converse. You may know the word converse for a verb meaning to chat, or for a noun as a particular brand of footwear.

Exchanging Parts of Conditional Statements.Logic is not something humans are born with we have to learn it, and geometry is a great way to learn to be logical. Logic is formal, correct thinking, reasoning, and inference. It has shapes and angles, and it also has logic. Geometry is a wonderful part of mathematics for people who don't like a lot of numbers.

Converse geometry