Exploring Conditional Statements in Geometry

What is a conditional statement?

• A statement that is always false.

• A statement that can be written in if-then form.

• A statement that is always true.

• A statement that cannot be proven.

In a conditional statement, what does 'p' represent?

• The condition

• The conclusion

• The hypothesis

• The result

What is the hypothesis in the statement: 'If a polygon has 10 sides, then it is a decagon'?

• It is a decagon

• A polygon has 10 sides

• It has 10 sides

• A polygon is a shape

How would you write 'A four-sided figure is a quadrilateral' in if-then form?

• If a figure is a quadrilateral, then it is four-sided.

• If a figure has four sides, then it is a quadrilateral.

• If a figure has four sides, then it is a rectangle.

• If a figure is a quadrilateral, then it has four sides.

What is the converse of the statement 'If p then q'?

• If not p then not q

• If not q then not p

• If q then p

• If p then not q

Is the statement 'If you live on the east coast, then you live in New Jersey' true?

• Yes, it is always true.

• No, it is false.

• Yes, it is sometimes true.

• No, it is never true.

What is the inverse of the statement 'If you live in New Jersey, then you live on the east coast'?

• If you live in New Jersey, then you don't live on the east coast.

• If you don't live on the east coast, then you don't live in New Jersey.

• If you don't live in New Jersey, then you don't live on the east coast.

• If you live on the east coast, then you live in New Jersey.

What is the contrapositive of the statement 'If a polygon is a rectangle, then it is a square'?

• If a polygon is a rectangle, then it is not a square.

• If a polygon is not a square, then it is not a rectangle.

• If a polygon is a square, then it is a rectangle.

• If a polygon is not a rectangle, then it is not a square.

Which of the following statements is true?

• If two angles have a sum of 90, then they are obtuse.

• If two angles have a sum of 90, then they are supplementary.

• If two angles have a sum of 180, then they are complementary.

• If two angles have a sum of 180, then they are supplementary.

What is the converse of the statement 'If two angles have a sum of 90, then both angles are acute'?

• If two angles do not have a sum of 90, then they are not acute.

• If two angles are acute, then they have a sum of 90.

• If two angles are not acute, then they do not have a sum of 90.

• If two angles have a sum of 90, then they are not acute.