Rhombus and Squares

Front

What is a rhombus?

Back

A rhombus is a type of polygon that is a quadrilateral with all four sides of equal length.

Front

What are the properties of a rhombus?

Back

1. All sides are congruent. 2. Opposite angles are equal. 3. The diagonals bisect each other at right angles. 4. The diagonals bisect the angles of the rhombus.

Front

What is the relationship between the diagonals of a rhombus?

Back

The diagonals of a rhombus bisect each other at right angles.

Front

How do you find the area of a rhombus?

Back

Area = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals.

Front

What is a square?

Back

A square is a special type of rhombus that has four right angles.

Front

What are the properties of a square?

Back

1. All sides are congruent. 2. All angles are right angles. 3. The diagonals are equal in length and bisect each other at right angles.

Front

How do you find the area of a square?

Back

Area = side^2, where 'side' is the length of one side of the square.

Front

If BA=5x+5 and AD=10x-20, find BD.

Back

BD = 60.

Front

In a rhombus, if angle 1 = 10x, angle 2 = x + y, and angle 3 = 15z, find the values of x, y, and z.

Back

x = 9, y = 81, z = 6.

Front

In rhombus DOGS, if DO = 2p + 9 and OG = 3p - 6, find GS.

Back

GS = 39.