Conditional Statements and Related Conditional
Authored by Nguyen To
Mathematics
9th - 12th Grade
CCSS covered
Used 4+ times
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20 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
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.
Answer explanation
The converse of a conditional statement reverses the hypothesis and conclusion. Here, the original statement is 'If a triangle has 3 congruent sides, then it's an equilateral triangle.' The converse is 'If a triangle is equilateral, then it has 3 congruent sides.'
2.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
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.
Answer explanation
The inverse of a conditional statement "If P, then Q" is "If not P, then not Q." Here, P is "a triangle has 3 congruent sides" and Q is "it's an equilateral triangle." Thus, the correct inverse is "If a triangle does not have 3 congruent sides, then it's not an equilateral triangle."
Tags
CCSS.HSG.CO.B.7
3.
MATCH QUESTION
3 mins • 5 pts
Write the converse, inverse, and contrapositive of each statement. (match)
If segments are congruent, then they have equal measures.
inverse
If segments do not have equal measures, then they are not congruent.
converse
If segments are not congruent, then they do not have equal measures.
contrapositive
If segments have equal measures, then they are congruent.
Tags
CCSS.HSG.CO.B.7
4.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
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.
Answer explanation
The contrapositive of a conditional statement "If P, then Q" is "If not Q, then not P." Here, "not Q" is "not an equilateral triangle" and "not P" is "does not have 3 congruent sides." Thus, the correct choice is: If a triangle is not equilateral, then it does not have 3 congruent sides.
5.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
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.
Answer explanation
The converse of a conditional statement "If P, then Q" is "If Q, then P." Here, the original statement is "If an angle measures 30 degrees (P), then it's an acute angle (Q)." Thus, the converse is "If an angle is acute (Q), then it measures 30 degrees (P)."
6.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
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.
Answer explanation
The inverse of a conditional statement "If P, then Q" is "If not P, then not Q." Here, P is "an angle measures 30 degrees" and Q is "it's an acute angle." Thus, the correct inverse is "If an angle does not measure 30 degrees, then it's not an acute angle."
7.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
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.
Answer explanation
The contrapositive of a conditional statement "If P, then Q" is "If not Q, then not P." Here, "not Q" is "not acute" and "not P" is "not measuring 30 degrees." Thus, the correct contrapositive is: If an angle is not acute, then it does not measure 30 degrees.
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