Which statement can be combined with its converse to form a true biconditional statement?
That's correct. The converse of A is 'If an angle is acute then its measure is 30 degrees', which isn't true. To use an alternative formulation for the converse of B, 'If a ray is not the perpendicular bisector of a segment, then the ray does not divide the segment into two congruent segment' and this is true. Either formulation of the converse of a conditional statement can be used. If both the original statement and the converse are true, then a true biconditional can be formed. I'm sure you've noticed that C is itself false anyway. This means that the biconditional must be false, whether its converse is true or not.
What is the converse of a statement in geometry?
If you have a conditional statement, “if p, then q,” the converse of that statement would be “if q, then p.”For example:For the statement “If it rains tomorrow, then I will bring an umbrella,” its converse is “If I bring an umbrella, then it rains tomorrow.”Obviously, converses of true statements aren’t necessarily true.
Identify the if-then form of the statement All cars have four wheels.?
The answer is B! I know it might not always be true, but that isn't the question. The question is basically "What does this statement say?" And it says exactly what answer B says, so that is the answer. It could say "All cars are purple." The if-then form of that statement is "If it is a car, then it is purple." You must learn to ignore the veracity of the argument at hand and look solely at its structure in logic.
If- then form, the converse, the inverse, and the contra-positive statement HELP! ?
"Ants are insects" One way to express this is: If x is an ant, then x is an insect. In predicate (first order) logic, the form would be For all x, ant(x) -> insect(x). But we're going to go with the first form. If-then form: if x is an ant then x is an insect. Converse: If x is an insect then x is an ant. Inverse: If x is not an ant, then x is not an insect. Contrapositive: If x is not an insect, then x is not an ant.
Conditional Statements Math Help??? Geometry!!!?
If it doesn't contain if or then already, you should add it Like this: If two angles are complementary, then it they add up to 90 degrees. If they add up to 90 degrees, then they are right angles So, If two angles are complementary, then they are right angles Converse: If two angles add up to 90 degrees, then they are complementary. T Inverse: If two angles are not complementary, then they do not add up to 90 degrees T Contrapositive: If two angles do not add up to 90 degrees, then they are not complementary angles T Hope this helps! Good Luck!!
Help With Writing a Biconditional Statement?
Well First You Would Have To Turn The Statment To a If Then Form Like: If A Animal Is a panther , then it lives in the forest. Then Finidng Converse which is just switching the 2 statements around: If It Lives In The Forest, Then The Animal Is A Panther The Biconditional statement is just making a if and only if statement: If and only if the animal is a panther, then it lives in the forest.
What are the differences between inverse, converse, and contrapositive statements?
STATEMENT:If it does not rain, I will go out to play.INVERSE:I will go out to play, if it does not rain.Antecedent becomes Consequent and vice-versaCONVERSE:If it rains, I will not go out to play.Antecedent and Consequent both become negative.CONTRAPOSITIVE:I will not go out to play if it rains.Antecedent becomes negative Consequent and vice-versa.