Identify the contrapositive of the following statement, then decide if the contrapositive is true or false.

"if angle 1 congruent to angle 2, then symbol representing angle 1andSymbol representing angle 2are vertical angles.

Whether or not your statement is true depends upon whether angle 1 is the supplement of angle 2. Are they formed by the intersection with a long striaght line? Is there supposed to be a figure provided with this question?

The contrapositive statement would be "If angles 1 and 2 are both vertical, then they are congruent to one another." This would be true if the first statement were true, but both statements depend upon the situation you are talking about (i.e., the locations of the angles).

To identify the contrapositive of a statement, you need to switch the hypothesis and conclusion of the original statement and negate them. In this case, the original statement is "if angle 1 congruent to angle 2, then symbol representing angle 1 and symbol representing angle 2 are vertical angles."

The hypothesis of the original statement is "angle 1 congruent to angle 2," and the conclusion is "symbol representing angle 1 and symbol representing angle 2 are vertical angles."

To form the contrapositive, we switch the hypothesis and conclusion and negate them. So the contrapositive statement would be: "If angles 1 and 2 are not vertical angles, then they are not congruent to each other."

Now, let's evaluate if the contrapositive is true or false.

The contrapositive statement is saying that if angles 1 and 2 are not vertical angles, then they are not congruent to each other. Whether this statement is true or false depends on the specific scenario or situation you are referring to.

If angles 1 and 2 are not vertical angles, it means they are not formed by the intersection of a long straight line. In this case, it is possible that they could still be congruent angles but not vertical angles. So the contrapositive statement is generally false, as there could be situations where the angles are congruent but not vertical.

It is important to consider the specific context and any accompanying figures or information to determine the truth value of the contrapositive statement.