Construct Rectangle ABCD, let AB = 5 and BC = 8. Construct the diagonals and their intersection point, label as point E.

AC = BD = = = = =

What two characteristics does a rectangle have besides the five for a parallelogram.

1. 2.

Define Rhombus:

Construct Rhombus ABCD as shown, with diagonals intersecting at point E.

AB = BC = CD = AD =

What can you conclude about the sides?

= = = =

What can you conclude about the diagonals?

= = = = = = = =

What can you conclude about angles 1 and 2, 3 and 4, 5 and 6, 7 and 8?

Therefore, the diagonals the opposite angles of a rhombus.

State three characteristics that a Rhombus has besides the five for a parallelogram.

1.

2.

3.

Construct a Square ABCD, with diagonals intersecting at point E.

AB = BC = CD = AD =

= = = =

All sides of a square are .

All angles of a square equal .

AC = BD = AE = BE = CE = DE =

= = = =

Diagonals of a square are .

Diagonals each other.

Diagonals form angles, therefore are .

As with the rhombus,

= = = = = = = =

therefore, the diagonals of a square a pair of opposite angles.

State the other characteristics of a square.

6.

7.

8.

9.

10.

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