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Understanding the Converse in Conditional Statements
Interactive Video
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Mia Campbell
FREE Resource
Standards-aligned
Read more
6 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the converse of a conditional statement?
A statement where the hypothesis is repeated.
A statement where the conclusion is removed.
A statement where the hypothesis and conclusion are swapped.
A statement where the hypothesis and conclusion are negated.
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a conditional statement, what do 'p' and 'q' represent?
p and q are both hypotheses.
p is the hypothesis and q is the conclusion.
p and q are both conclusions.
p is the conclusion and q is the hypothesis.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the 'if' and 'then' in the converse of a statement?
They are swapped along with the hypothesis and conclusion.
They are removed from the statement.
They remain in the same positions.
They are replaced with 'when' and 'therefore'.
Tags
CCSS.8.G.A.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you form the converse of a statement?
By removing the conclusion.
By repeating the hypothesis twice.
By swapping the hypothesis and conclusion.
By negating both the hypothesis and conclusion.
Tags
CCSS.8.G.A.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example given, what is the converse of 'If you have parallel lines, then alternate interior angles are equal'?
If you have parallel lines, then alternate interior angles are not equal.
If alternate interior angles are equal, then you have parallel lines.
If alternate interior angles are not equal, then you have parallel lines.
If you have parallel lines, then interior angles are equal.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of swapping 'p' and 'q' in a conditional statement?
It forms a new hypothesis.
It forms the converse of the original statement.
It negates the original statement.
It removes the conclusion.
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