1. 8.4 Rectangle, Rhombus, and Square

2. Rectangles, Rhombi, and Squares
What You'll Learn
You will learn to identify and use the properties of rectangles,
rhombi, and squares.
Vocabulary
1) Rectangle
2) Rhombus
3) Square

3. Rectangles, Rhombi, and Squares
A closed figure,
4 sides & 4 vertices
Quadrilateral
Opposite sides parallel
opposite sides congruent
Parallelogram
Parallelogram with
4 congruent sides
Parallelogram with
4 right angles
Rhombus
Rectangle
Parallelogram with 4 congruent sides and
4 right angles
Square

4. Rectangles, Rhombi, and Squares
Identify the parallelogram
below.
Identify the parallelogram
below. D C B A
rhombus
Parallelogram ABCD has
4 right angles, but the four
sides are not congruent.
Therefore, it is a
_________
rectangle

5. Rectangles, Rhombi, and Squares
Theorem
8-10
The diagonals of a rectangle are _________.
congruent A D B C

6. Rectangles, Rhombi, and Squares
Theorem
8-11
The diagonals of a rhombus are ____________.
perpendicular A B D C

7. Rectangles, Rhombi, and Squares
Theorem
8-12
Each diagonal of a rhombus _______ a pair of opposite angles.
bisects A 1 2 D 8 7 6 5 C 3 4 B

8. Rectangles, Rhombi, and Squares
Use square XYZW to answer the following questions:
1) If YW = 14, XZ = ____ 14 W Z Y X O
A square has all the properties of a
rectangle, and the diagonals of a
rectangle are congruent.
2) mYOX = ____ 90
A square has all the properties of a
rhombus, and the diagonals of a
rhombus are perpendicular.
3) Name all segments that are congruent to WO. Explain your reasoning.
The diagonals are congruent and they bisect
each other.
OY, XO, and OZ

9. Rectangles, Rhombi, and Squares
Use the Venn diagram to answer the following questions: T or F
Quadrilaterals
Parallelograms
Rhombi
Rectangles
Squares
1) Every square is a rhombus: ___ T
5) All rhombi are parallelograms: ___ T
2) Every rhombus is a square: ___ F
3) Every rectangle is a square: ___ F
6) Every parallelogram is a rectangle: ___ F
4) Every square is a rectangle: ___ T

10. Rectangles, Rhombi, and Squares
End of Section 8.4