If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.
true
Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.
An obverse statement is logically equivalent.
Switching the hypothesis and conclusion of a conditional statement.
Find the converse of the following statement. If it's a dime, then it's a coin.
If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are parallel.
true
A biconditional is the conjunction of a conditional statement and its converse.
The conjunction of a conditional statement and its converse is known as a biconditional statement. It states that the original statement and its converse are both true.
The converse statement for 'If it is your birthday, then it is September' would be 'If it is September, then it is my birthday.'
The isosceles triangle theorem states that if two sides of a triangle are congruent, the angles opposite of them are congruent. The converse of this theorem states that if two angles of a triangle are congruent, the sides that are opposite of them are congruent.
Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.
If two line segments are congruent then they have the same length.
a converse is an if-then statement in which the hypothesis and the conclusion are switched.
The converse of the statement "If it is summer, then it is warm outside' would be if it is warm outside then it is summer.
The converse of the statement if a strawberry is red, then it is ripe would be if it is ripe, then the strawberry is red.
It is the biconditional.