5.6 Rhombi and Squares

Front

What are the properties of the diagonals of a rhombus?

Back

The diagonals of a rhombus are perpendicular to each other and bisect each other, but they are not congruent.

Front

What conditions must a parallelogram meet to be classified as a square?

Back

A parallelogram is a square if it has all the properties of a rhombus and a rectangle.

Front

What is a rhombus?

Back

A rhombus is a quadrilateral with all four sides of equal length and opposite angles that are equal.

Front

What is a square?

Back

A square is a quadrilateral that is both a rhombus and a rectangle, meaning it has all sides equal and all angles equal to 90 degrees.

Front

How do you find the measure of an angle in a rhombus if one angle is known?

Back

In a rhombus, opposite angles are equal, and adjacent angles are supplementary. If one angle is known, the other three can be found using these properties.

Front

If m∠TEH = 21° in rhombus TECH, what is m∠ECH?

Back

m∠ECH = 138° because opposite angles in a rhombus are equal and adjacent angles are supplementary.

Front

What is the relationship between the sides of a rhombus and its diagonals?

Back

The diagonals of a rhombus bisect each other at right angles, creating four right triangles within the rhombus.

Front

If TE = 5x + 4 and EC = 7x - 4 in rhombus TECH, how do you find CH?

Back

Set TE equal to EC since opposite sides of a rhombus are equal: 5x + 4 = 7x - 4, solve for x, then use x to find CH.

Front

What is the formula for the area of a rhombus?

Back

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

Front

What is the difference between a rhombus and a rectangle?

Back

A rhombus has all sides equal but does not require right angles, while a rectangle has opposite sides equal and all angles are right angles.