Unit 6: Exploring Quadrilaterals Review

Select the correct shapes that can all be classified as a polygon, quadrilateral, and special parallelograms.

• A. Square

• B. Kite

• C. Rhombus

• D. Rectangle

• E. Trapezoid

Two Quadrilaterals are described.

Quadrilateral H - has four right angles

Quadrilateral R - has two pairs of parallel sides.

Which statement MUST be true based on the given information?

• A. The diagonals of Quadrilateral R are congruent.

• B. The diagonals of Quadrilateral H are congruent.

• C. The diagonals of Quadrilateral H are not congruent

• D. The diagonals of Quadrilateral R are not congruent.

ABCD is a parallelogram whose diagonals intersect at point E. Some measurements are given. AB = 8x + 5.5, AD = 4x + 2.5, AE = 3x+8.5, AC = 50. Select all equations that can be used to determine the value of x.

• A. 8x + 5.5 = 4x + 2.5

• B. 2(3x + 8.5) = 50

• C. 2(8x + 5.5) = 50

• D. (3x + 8.5) + (3x + 8.5) = 50

ABCD is a parallelogram whose diagonals intersect at point E. Some measurements are given. AB = 8x + 5.5, AD = 4x + 2.5, AE = 3x+8.5, AC = 50. What is the value of x?

• A. x = 10.5

• B. x = 5.5

• C. x = 25

• D. x = 33

Two quadrilaterals are described.

Quadrilateral M - has four equal sides.

Quadrilateral N - has exactly one pair of parallel sides and congruent diagonals.

Select all statements that MUST be true based on the given information.

• A. Opposite angles of Quadrilateral M are congruent.

• B. Opposite angles of Quadrilateral N are congruent.

• C. Consecutive angles of Quadrilateral M are supplementary.

• D. Base angles of Quadrilateral N are congruent.

• E. The nonparallel sides of Quadrilateral N are congruent.

What is Reason 2?

• Opposite angles of a parallelogram are supplementary.

• Opposite angles of a parallelogram are congruent.

• Opposite sides of a parallelogram are congruent.

• Opposite sides of a parallelogram are not congruent.

What is Reason 3?

• Opposite angles of a parallelogram are supplementary.

• Opposite angles of a parallelogram are congruent.

• Opposite sides of a parallelogram are congruent.

• Opposite sides of a parallelogram are not congruent.

What is Reason 4?

• Opposite angles of a parallelogram are supplementary.

• Opposite angles of a parallelogram are congruent.

• Opposite sides of a parallelogram are congruent.

• Given

What is Reason 5?

• SSS

• SAS

• ASA

• AAS

What is Reason 6?

• SSS

• SAS

• ASA

• AAS

• CPCTC