13.
Write this statement as a conditional in if-then form:
All triangles have three sides.
If a figure is a triangle, then all triangles have three sides.
If a figure has three sides, then it is not a triangle.
If a triangle has three sides, then all triangles have three sides.
If a figure is a triangle, then it has three sides.
5 answers
If a figure has three sides, then it is a triangle.
14.
Test the conditional statement and its converse to determine whether the following biconditional is true.
A number is divisible by 6 if and only if it is divisible by 3.
It is true because both parts of the biconditional are true.
It is false because at least one part of the biconditional is false.
It is false because both parts of the biconditional are false.
It is true because at least one part of the biconditional is true.
Test the conditional statement and its converse to determine whether the following biconditional is true.
A number is divisible by 6 if and only if it is divisible by 3.
It is true because both parts of the biconditional are true.
It is false because at least one part of the biconditional is false.
It is false because both parts of the biconditional are false.
It is true because at least one part of the biconditional is true.
It is true because both parts of the biconditional are true.
15.
Identify the converse of the following conditional:
If a point is in the fourth quadrant, then its coordinates are negative.
If a point is not in the fourth quadrant, then the coordinates of the point are not negative.
If a point is in the fourth quadrant, then its coordinates are negative.
If the coordinates of a point are not negative, then the point is not in the fourth quadrant.
If the coordinates of a point are negative, then the point is in the fourth quadrant.
Identify the converse of the following conditional:
If a point is in the fourth quadrant, then its coordinates are negative.
If a point is not in the fourth quadrant, then the coordinates of the point are not negative.
If a point is in the fourth quadrant, then its coordinates are negative.
If the coordinates of a point are not negative, then the point is not in the fourth quadrant.
If the coordinates of a point are negative, then the point is in the fourth quadrant.
If the coordinates of a point are not negative, then the point is not in the fourth quadrant.