LEAP 2025 Geometry Chapter 5

DOK: 2
1 pt

1.

Which is the contrapositive of the following conditional statement: "If a trapezoid is isosceles, then its base angles are congruent?"

A

If a trapezoid has congruent base angles, then it is isosceles.

B

If a trapezoid is not isosceles, then its base angles are not congruent.

C

If a trapezoid’s base angles are not congruent, then it is not isosceles.

D

A trapezoid is isosceles if and only if its base angles are congruent.

DOK: 2
1 pt

2.

Below is an incomplete two column proof. Reading through the proof, what statement is missing to make the proof complete?

A

$\angle 1\cong \angle 4$

B

$\angle 3\cong \angle 4$

C

$\angle 2\cong \angle 3$

D

$\angle 1\cong \angle 3$

DOK: 2
1 pt

3.

Below is an incomplete two column proof. Reading through the proof, what reason is missing to make the proof complete?

A

Definition of midpoint.

B

Symmetric Property of Congruence.

C

SAS theorem.

D

Vertical Angles theorem.

DOK: 3
1 pt

4.

For the conditional statement "If a figure is a rectangle, then its diagonals are congruent," which of the following are correct?

A

The conditional statement and the inverse are both true.

B

The converse and the inverse are both true.

C

The conditional statement and the contrapositive are both true.

D

The conditional statement, converse, inverse, and contrapositive are all true.