Using Properties of Squares and Rhombi

Front

What is a square?

Back

A square is a quadrilateral with all four sides of equal length and all four angles measuring 90 degrees.

Front

What is a rhombus?

Back

A rhombus is a quadrilateral with all four sides of equal length, but the angles are not necessarily 90 degrees.

Front

What are the properties of the diagonals in a square?

Back

In a square, the diagonals bisect the angles, are perpendicular to each other, and are congruent.

Front

What is the relationship between the angles in a rhombus?

Back

In a rhombus, opposite angles are equal, and adjacent angles are supplementary.

Front

How do you find the length of a side of a square if the diagonal is known?

Back

If the diagonal of a square is d, the length of a side s can be found using the formula s = d/√2.

Front

What is the formula for the area of a square?

Back

The area A of a square is given by A = s², where s is the length of a side.

Front

What is the formula for the area of a rhombus?

Back

The area A of a rhombus can be calculated using A = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals.

Front

If the measure of angle 1 in a square is 90 degrees, what is the measure of angle 2?

Back

The measure of angle 2 is also 90 degrees, as all angles in a square are equal.

Front

In a rhombus, if one angle measures 60 degrees, what are the measures of the other angles?

Back

The opposite angle also measures 60 degrees, and the other two angles measure 120 degrees each.

Front

What is the relationship between the sides and angles in a square?

Back

In a square, all sides are equal, and all angles are right angles (90 degrees).