GEOMETRY: CHAPTER 6

6.4: Rhombuses, Rectangles, and SquaresObj: ______________________________________________________________

SPECIAL QUAD 4 sided figure with special properties

RHOMBUS A parallelogram with all sides

congruent

RECTANGLE A parallelogram with all angles

congruent

SQUARE A parallelogram with all angles and

sides congruent

PRACTICE

VENN DIAGRAM

PRACTICE Complete with Always, Sometimes or

Never

1) Is a rectangle a square?Is a square a rectangle?

2) If a rhombus a parallelogram?Is a parallelogram a rhombus?

PARALLELOGRAM Opp sides // Opp sides congruent Opp <‘s congruent Diagonals bisect each other Consecutive angles are supp.

RHOMBUS A rhombus is also a ___________________ so it has of their properties plus:

parallelogram

o All sides are congruento Diagonals are perpendicularo Diagonals bisect the angles

RECTANGLE A rectangle is also a _______________parallelogram

o All angles are congruento Diagonals are congruent

SQUARE

A square is also a ____________, a__________, and a______________

parallelogramrectangle rhombus

So it has all of their properties

PRACTICE

PRACTICE

Given parallelogram ABCD, find:

AB A B•AE •<ABC •<BCD

Given Rhombus FGHI, find:•FG •M<GHI •M<FGH •M<FJG