Properties of Special Parallelograms

If ABCD is a parallelogram, what is the length of BD?

• 14

• 12

• 10

• 5

In rhombus ABCD, if DB = 2x - 4 and PB = 2x - 9, find PD.

If PN = 2x + 5, ON = x + 3, and OS = 3x - 2. Solve for PS.

• 7 units

• 10 units

• 17 units

• 19 units

In the diagram below, PQRS is a rhombus. What are the values of x and y?

• x = 8, y = 4

• x = 10, y = 6

• x = 5, y = 6

• x = 4, y = 12

Which quadrilateral(s) have congruent diagonals? Select all that apply.

• Parallelogram

• Rectangle

• Rhombus

• Square

Find the angle measures for rhombus ABCD. m∠ACD =​ (a)   , m∠ABC =​ (b)   , and m∠BEA =​ (c)  

Which word best describes a parallelogram with diagonals that are congruent and perpendicular?

• parallelogram

• rectangle

• rhombus

• square

Write an expression in terms of x to represent AD in rhombus ABCD.

Mathematical Equivalence

ON

On the graph shown, VT is the diagonal of a rhombus. The slope of the other diagonal is​ (a)   .

Which expression gives m∠DBC?