Conditional Statements and Geometric Proofs

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.

Tags

CCSS.HSG.CO.C.9

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.8.G.A.2

What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."

• if they add up to 180 degrees
• the angles are supplementary
• they add up to 180 degrees
• there is no conclusion

Tags

CCSS.7.G.B.5

When can a biconditional statement be true?

• When the inverse and the converse are both true
• When the original statement (conditional statement) & the contrapositive are both true.
• When the converse is true.
• When the original statement (conditional statement) and the converse are both true.

What is this?

• Conditional Statement
• Inverse
• Converse
• THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

If it is a triangle then it has three sides.
What is the conclusion?

• it is a triangle
• it is a polygon
• it has three sides
• the polygon is a triangle

Tags

CCSS.2.G.A.1

If it does not have four sides then it is not a rectangle.
What is the converse?

• If it is not a rectangle then it then it does not have  four sides.
• If it has four sides then it is a rectangle.
• If it is a rectangle then it has four sides.
• If it is not a rectangle then it has four sides.

p→q
What is the inverse?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

What does  
~q -> ~p symbolize?

• Conditional Statement
• Converse
• Inverse
• Contrapositive

Is the given statement true:
If the chair is empty, then class is not in session.

• True.  Class can't happen if a chair isn't occupied.
• False.  Someone could be absent.
• True. Nobody sits down so we don't do work.
• True.  There are no chairs here, so the hypothesis is true.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A