7.5 Diagonals In Quadrilaterals

Front

What is a diagonal in a quadrilateral?

Back

A diagonal is a line segment that connects two non-adjacent vertices of a polygon.

Front

In a rectangle, what can be said about the diagonals?

Back

The diagonals of a rectangle are congruent and bisect each other.

Front

What is the relationship between the diagonals of a rhombus?

Back

The diagonals of a rhombus are perpendicular, bisect each other, and bisect the angles.

Front

How do you find the length of a diagonal in a rectangle?

Back

Use the Pythagorean theorem: d = √(length² + width²).

Front

What is the formula for the diagonals of a square?

Back

The length of a diagonal d = side√2.

Front

What is the significance of the diagonals in a parallelogram?

Back

The diagonals bisect each other but are not necessarily congruent.

Front

Which quadrilaterals have diagonals that intersect at right angles?

Back

Rhombus and square.

Front

What is true about the diagonals of a trapezoid?

Back

The diagonals of a trapezoid are not necessarily equal or bisect each other.

Front

If two diagonals bisect each other, what type of quadrilateral could it be?

Back

It could be a parallelogram, rectangle, rhombus, or square.

Front

What is the relationship between the angles formed by the diagonals of a rhombus?

Back

The angles formed by the diagonals of a rhombus are congruent.