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Conditional, Converse, and Bi Conditional Statements
Presentation
•
Mathematics
•
9th - 12th Grade
•
Easy
+13
Standards-aligned
Shauna Hacker
Used 1+ times
FREE Resource
5 Slides • 17 Questions
1
2
3
Multiple Choice
When taking the converse we ___________ the hypothesis and conclusion.
don't change
switch
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4
Multiple Choice
Is the Conditional Statement True or False: If a shape is a square, then it has four sides.
False
True, all squares have four sides
5
Multiple Choice
Converse: If a shape has four sides, then it is a square.
False, it could be any quadrilateral and have four sides
6
Open Ended
Write the converse of the following conditional statement: If two angles have the same measure, then they are congruent.
7
Multiple Choice
Which is the converse of the statement?
If you are not a guitar player, then you are not a musician.
If you are a musician, then you are a guitar player.
If you are a guitar player, then you are not a musician.
If you are not a musician, then you are not a guitar player.
8
Multiple Choice
9
10
Conditional: If two lines are perpendicular, then they form a right angle.
Converse: If two lines form a right angle, then they are perpendicular.
Both the conditional and converse are true, so this is biconditional.
11
Now we can write the statement in the "if and only if" form.
Biconditional: Two lines are perpendicular if and only if they form a right angle.
*Notice how the words "if" and "then" were removed and the hypothesis and conclusion were connected with the phrase "if and only if" in the middle.
12
Multiple Choice
13
Multiple Choice
14
Multiple Select
Select the conditional statement of the biconditional statement:
I am a junior if and only if I am in 11th grade.
I am a junior
If I am a junior, then I am in 11th grade.
I am in 11th grade
15
Multiple Choice
Is this a true biconditional statement? "If a shape is a triangle, then it has 3 sides."
Yes
No
16
Multiple Choice
What counterexample makes the following biconditional false?
"It is Halloween if and only if it is October 31."
This is a true biconditional, so it has no counterexamples.
It is not October 31.
I don't celebrate Halloween.
It is October 30.
17
Multiple Choice
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 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.
"If angles are not congruent, then the measures of the angles are not equal."
18
Multiple Choice
Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."
What is the converse of this statement?
If a polygon is not a quadrilateral, then it is not a trapezoid.
If a polygon is not a trapezoid, then it is not a quadrilateral.
If a polygon is a trapezoid, then it is a quadrilateral.
A rectangle is also a quadrilateral.
19
Open Ended
Write a converse statement for the conditional statement below:
If the triangle is isosceles, then it's an equilateral.
20
Open Ended
Is the statement: 'If two angles have the same measure, then they are congruent' biconditional? If yes, write it in the form with 'if and only if'.
21
Fill in the Blanks
Fill in the blank: A quadrilateral is a parallelogram if and only if its opposite sides are
22
Multiple Select
Which of the following conditional statements and their converses can be written as a biconditional statement?
If a polygon has 4 sides, then it is a quadrilateral.
If you play guitar, then you are a musician.
If the diagonals are perpendicular, then it’s a quadrilateral with adjacent congruent sides.
If a quadrilateral with opposite sides are parallel, then it is a parallelogram.
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