Rhombi & Squares Section 8-5. rhombus – a quadrilateral with 4 congruent sides Since a rhombus is a parallelogram, it has all the properties of a parallelogram.

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Presentation transcript:

Rhombi & Squares Section 8-5

rhombus – a quadrilateral with 4 congruent sides Since a rhombus is a parallelogram, it has all the properties of a parallelogram.

Thms. 8-15, 8-16, & 8-17 The diagonals of a rhombus are perpendicular. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. Each diagonal of a rhombus bisects a pair of opposite angles.

rhombus

Using a picture proof, a. prove the diagonals are perpendicular b.Each diagonal bisects a pair of opposite angles.

square – a quadrilateral with 4 right angles and 4 congruent sides A square is a special type of parallelogram that is also a rectangle and rhombus. It has all the characteristics of a parallelogram, a rectangle, and a rhombus.

square

parallelograms rectangles rhombi squares

Joke Time What is 7Q + 3Q? You’re welcome!