3rd Quarter Summative Review in Math 9

Which of the following is a defining property of a parallelogram?

• All angles are congruent.

• All sides are congruent.

• Diagonals bisect each other at right angles.

• Opposite sides are parallel.

If one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a:

• Rectangle

• Parallelogram

• Rhombus

• Square

If one angle of a parallelogram measures 75 degrees, what is the measure of its opposite angle?

• 15 degrees

• 75 degrees

• 105 degrees

• 180 degrees

A window frame has the shape of a quadrilateral with both pairs of opposite angles congruent. To ensure the frame stays in its intended shape, the installer should:

• Make sure all the sides are congruent.

• Make sure the diagonals are congruent.

• Add a support beam across one of the diagonals.

• Add a support beam across the middle, parallel to two sides.

In parallelogram ABCD, angle A measures 70 degrees. What is the measure of angle C?

• 70 degrees

• 110 degrees

• 180 degrees

• It cannot be determined.

In parallelogram LMNO, the diagonals intersect at point X. If LX = 5 cm, what is the length of OX?

• 2.5 cm

• 5 cm

• 10 cm

• It cannot be determined.

In parallelogram RSTU, RS = 4x + 2 and TU = 2x + 10. Find the value of x.

• 4

• 6

• 8

• 10

A carpenter is building a tabletop in the shape of a parallelogram. One angle of the parallelogram measures 55 degrees, and the side adjacent to this angle is 20 inches long. To find the length of the diagonal opposite this angle, which property of parallelograms could be used?

• Consecutive angles of a parallelogram are supplementary.

• Diagonals of a parallelogram bisect each other.

• Opposite angles of a parallelogram are congruent.

• Opposite sides of a parallelogram are congruent.

Which of the following is ALWAYS true about a rectangle?

• All sides are congruent.

• Diagonals are congruent and perpendicular.

• Opposite angles are congruent.

• Opposite sides are parallel.

Given a parallelogram ABCD, how can you prove that ABCD is a rectangle?

• Prove that all sides are congruent.

• Prove that diagonals bisect each other at right angles.

• Prove that opposite angles are congruent.

• Prove that opposite sides are parallel.