Conditional statements

Conditional statements

If-then statements

Multiple Choice

“If this month is June, then the following month is July”. What is the hypothesis of the given conditional statement?

• If this month is June

• this month is June

• the following month is July

• then the following month is July

Multiple Choice

“If this month is June, then the following month is July”. What is the conclusion?

• If this month is June

• this month is June

• the following month is July

• then the following month is July

Multiple Choice

Identify the conclusion of the given statement : “A triangle is a polygon”

• it is a polygon.

• it has three side

• a shape is a triangle

• it is a triangle.

Multiple Choice

If garbage are disposed properly, then dengue diseases will be prevented. What do you call the underlined portion in this conditional statement?

• Argument

• Conclusion

• Converse

• Hypothesis

Multiple Choice

Which is the best conclusion of the hypothesis: If you are 15 years old and below,

• then you can go out.

• then you are not allowed to go out.

• then you can vote in the election.

• then you are college student.

Multiple Choice

Rewrite the statement “A quadrilateral is a figure with four sides” in the if-then form.

• A figure has four sides if and only if it is a quadrilateral.

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

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

• A figure is a quadrilateral if and only if it has four sides.

Multiple Choice

Given the hypothesis and the conclusion respectively, transform into an if-then statement.

Hypothesis: two lines are parallel

Conclusion: they do not intersect

• If it does not intersect, then it is parallel.

• Two lines are parallel, if they do not intersect.

• If two lines are parallel, then they do not intersect.

• If they do not intersect, they are lines.

Multiple Choice

Re-write the statement “A triangle contains exactly three angles” into if-then form.

• If a figure is a triangle with three angles.

• If there are three angles, then it is a triangle.

• If a figure is a triangle, then it has exactly three angles.

• If a triangle, then it has exactly three angles.

Multiple Choice

Re-write the statement “An angle that measures 70° is an acute angle” into if-then form

• If it is an acute angle, then it measures 70°.

• If an angle measures 70°, then it is an acute angle.

• If acute angle is given, then it has 70°.

• If it has 70°, then it is acute.

Multiple Choice

Transform the statement “Points that lie on the same line are collinear” into if-then form.

• If they lie on the same line, they are collinear.

• If they are collinear, they are points on the same line.

• If they are collinear, then they are points.

• If points lie on the same line, then they are collinear.

Multiple Choice

Write the following statement in if-then form.
All cats chase mice.

• If you chase mice, then you are a cat.
• If you are a cat, then you chase mice.

Multiple Choice

What is this?

• Conditional Statement

• Inverse

• Converse

• Contrapositive

Multiple Choice

Write the following as a conditional statement:

"Rain makes the grass grow."

• The grass will grow only if it rains.

• If rain makes the grass grow.

• If it does not rain, then the grass will not grow.

• If it is raining, then the grass will grow.

Multiple Choice

How do you write the converse of a conditional statement?

• Negate the hypothesis and conclusion

• Reverse the hypothesis and conclusion

• Negate and reverse the hypothesis and conclusion

• Take it to Journeys and buy the converses.

Multiple Choice

Which of the following is a conditional statement?

• All even numbers are divisible by 2.

• If an even number is divisible by 2.

• Then even numbers are divisible by 2.

• If an integer is an even number, then it is divisible by 2.

Multiple Choice

What is a counterexample for the following statement?

“If today is not a weekday, then it is Saturday.”

• Monday

• Friday

• Thursday

• Sunday

Multiple Choice

Given the conditional statement: “If an angle has a measure of 100°, then it is obtuse.” What is the contrapositive statement?

• If an angle is obtuse, then it has a measure of 100°.

• If an angle does not have a measure of 100°, this it is not obtuse.

• If an angle is not obtuse, then it does not have a measure of 100°.

• If it is obtuse, then it has a measure of 100°

Multiple Choice

Given the conditional statement: “If an angle has a measure of 100°, then it is obtuse.” What is the converse statement?

• If an angle is obtuse, then it has a measure of 100°.

• If an angle does not have a measure of 100°, then it is not obtuse.

• If an angle is not obtuse, then it does not have a measure of 100°.

• If it is obtuse, then it has a measure of 100°

Multiple Choice

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

• If the measures of the angles are equal, then the angles are congruent.
• "If angles are not congruent, then the measures of the angles are not equal."
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Multiple Choice

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.
• If angles are not congruent, then the measures of the angles are not equal.
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Multiple Choice

Given, "If angles are congruent, then the measures of the angles are equal." Identify the inverse.

• If the measures of the angles are equal, then the angles are congruent.
• "If angles are not congruent, then the measures of the angles are not equal."
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.