2.2 Conditional Statements (converse, inverse, contrap, bicond)

Write the statement below as a conditional statement.

Vertical Angles are congruent

• Two angles are vertical if and only if they are congruent.

• If two angles are congruent, then they are Vertical.

• If two angles are Vertical, then they are congruent.

Tags

CCSS.8.G.A.5

Determine if the conditional statement is true or false.

If two angles are vertical, then they are congruent.

• True

• False

Tags

CCSS.HSG.SRT.B.5

Write the converse of the conditional statement below.

If two angles are vertical, then they are congruent.

• Two angles are vertical if and only if they are congruent.

• If two angles are congruent, then they are Vertical.

• If two angles are Vertical, then they are congruent.

Tags

CCSS.8.G.A.2

Determine if the converse statement is true or false.

If two angles are congruent, then they are vertical.

• True

• False

Tags

CCSS.HSG.SRT.B.5

In order for a statement to be biconditional, both the conditional and converse statements need to be ____.

• true

• false

When writing a biconditional statement, we use the phrase ___ between the hypothesis and conclusion.

• if

• then

• if and only if

• always

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.

Tags

CCSS.HSG.CO.C.9

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.

Tags

CCSS.8.G.A.2

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.HSS.CP.A.1

Original: If Jenny buys a guitar, then she will not buy a keyboard.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.

• Converse
• Inverse
• Contrapositive
• Negation