Conditional Statements & Related Conditionals

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.

Identify the converse of this conditional statement:

• If a triangle does not have 3 congruent sides, then it's not an equilateral triangle.

• If a triangle is equilateral, then it has 3 congruent sides.

• If a triangle is not equilateral, then it does not have 3 congruent sides.

• If a triangle has 3 congruent sides, then it's not an equilateral triangle.

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.

Identify the inverse of this conditional statement:

• If a triangle does not have 3 congruent sides, then it's not an equilateral triangle.

• If a triangle is equilateral, then it has 3 congruent sides.

• If a triangle is not equilateral, then it does not have 3 congruent sides.

• If a triangle has 3 congruent sides, then it's not an equilateral triangle.

Tags

CCSS.7.G.A.2

Conditional Statement: If a triangle has 3 congruent sides, then it's an equilateral triangle.

Identify the contrapositive of this conditional statement:

• If a triangle does not have 3 congruent sides, then it's not an equilateral triangle.

• If a triangle is equilateral, then it has 3 congruent sides.

• If a triangle is not equilateral, then it does not have 3 congruent sides.

• If a triangle has 3 congruent sides, then it's not an equilateral triangle.

Conditional Statement: If an angle measures 30 degrees, then it's an acute angle.

Identify the converse of this conditional statement:

• If an angle measures 30 degrees, then it's not an acute angle.

• If an angle does not measure 30 degrees, then it's not an acute angle.

• If an angle is not acute, then it does not measure 30 degrees.

• If an angle is acute, then it measures 30 degrees.

Tags

CCSS.HSG.CO.A.1

Conditional Statement: If an angle measures 30 degrees, then it's an acute angle.

Identify the inverse of this conditional statement:

• If an angle measures 30 degrees, then it's not an acute angle.

• If an angle does not measure 30 degrees, then it's not an acute angle.

• If an angle is not acute, then it does not measure 30 degrees.

• If an angle is acute, then it measures 30 degrees.

Tags

CCSS.HSS.CP.A.1

Conditional Statement: If an angle measures 30 degrees, then it's an acute angle.

Identify the contrapositive of this conditional statement:

• If an angle measures 30 degrees, then it's not an acute angle.

• If an angle does not measure 30 degrees, then it's not an acute angle.

• If an angle is not acute, then it does not measure 30 degrees.

• If an angle is acute, then it measures 30 degrees.

Select the appropriate choice related to the truth value of the following conditional statement:

If an angle is acute, then it measures 30 degrees.

• True. All acute angles measure 30 degrees.

• False. An angle can be acute and not measure 30 degrees. Counterexample: An angle measuring 20 degrees is acute and does not measure 30 degrees.

• False. Some 30-degree angles are acute, while other 30-degree angles are obtuse.

• Not enough information to determine the truth value for the given conditional statement.

Tags

CCSS.HSG.CO.A.1

Select the appropriate choice related to the truth value of the following conditional statement:

If an angle measures 30 degrees, then it's an acute angle.

• True. All 30-degree angles are acute angles.

• False. An angle can measure 30 degrees, but not be an acute angle. Counterexample: A 30-degree angle can be obtuse.

• False. A 30-degree angle is called a right angle, not an acute angle.

• Not enough information to determine the truth value for the given conditional statement.