Which is the contrapositive of the following conditional statement: "If a trapezoid is isosceles, then its base angles are congruent?"
If a trapezoid has congruent base angles, then it is isosceles.
If a trapezoid is not isosceles, then its base angles are not congruent.
If a trapezoid’s base angles are not congruent, then it is not isosceles.
A trapezoid is isosceles if and only if its base angles are congruent.
Below is an incomplete two column proof. Reading through the proof, what statement is missing to make the proof complete?
∠1≅∠4
∠3≅∠4
∠2≅∠3
∠1≅∠3
Below is an incomplete two column proof. Reading through the proof, what reason is missing to make the proof complete?
Definition of midpoint.
Symmetric Property of Congruence.
SAS theorem.
Vertical Angles theorem.
For the conditional statement "If a figure is a rectangle, then its diagonals are congruent," which of the following are correct?
The conditional statement and the inverse are both true.
The converse and the inverse are both true.
The conditional statement and the contrapositive are both true.
The conditional statement, converse, inverse, and contrapositive are all true.
