Rhombi and Squares

Rhombi and Squares

Parallelograms

• Opposite sides parallel

• Opposite sides congruent

• Consecutive angles supplementary

• Diagonals bisect each other

Rectangles

• Opposite sides congruent

• Diagonals bisect each other

• Diagonals are congruent

• Corners are right angles

• Diagonals create 4 isosceles triangles

Rhombi

• All sides congruent

• Diagonals intersect at right angles

• Diagonals bisect corners

• Diagonals are NOT congruent

Multiple Choice

What is KL in the rhombus shown?

• 3.5

• 6

• 7

• 12

• 14

Multiple Choice

What is JL in the rhombus shown?

• 3.5

• 6

• 7

• 12

• 14

Multiple Choice

What equation would you use to find NK?

• x² = 7² + 12²

• 7² = 12² + x²

• 12² = x² + 7²

Multiple Choice

What is DH in the rhombus shown?

• 20

• 23

• 40

• 46

Multiple Choice

What is DE in the rhombus shown?

• 20

• 23

• 40

• 46

Multiple Choice

What equation would you use to find EH?

• x² = 20² + 23²

• 20² = x² + 23²

• 23² = x² + 20²

Multiple Select

Select ALL angles that are 38^o

• 1

• 2

• 3

• 4

• 5

Multiple Choice

What is the measure of the corner formed by angles 4 and 5?

• 38

• 76

• 90

• 104

Multiple Choice

What is the measure of the corner formed by angles 1 and 2?

• 38

• 76

• 90

• 104

Multiple Choice

What is the measure of angle 1?

• 38

• 52

• 76

• 104

Multiple Choice

What is the measure of angle 1?

• 15

• 30

• 60

• 90

Multiple Choice

What is the measure of angle 2?

• 15

• 30

• 60

• 90

Multiple Choice

What is the measure of angle 3?

• 15

• 30

• 60

• 90

Multiple Choice

What is the measure of corner Z?

• 30

• 60

• 90

• 120

Multiple Choice

What is the measure of corner Y?

• 30

• 60

• 90

• 120

Multiple Choice

What equation would you use to solve for x in the rhombus?

• 9x + 4 = 13x - 16

• 9x + 4 + 13x - 16 = 90

• 9x + 4 + 13x - 16 = 180

Multiple Choice

What equation would you use to solve for x in the rhombus?

• 5x + 16 = 9x - 32

• 5x + 16 + 9x - 32 = 90

• 5x + 16 + 9x - 32 = 180

Squares

• A Square is a Parallelogram, Rectangle, and Rhombus

• Congruent sides

• Congruent diagonals

• 90 degree corners split into 45's

• Diagonals intersect at right angles

Multiple Choice

In the square shown, if AB = 5, what is BC?

• 2.5

• 5

• 7.5

• 10

Multiple Choice

In the square shown, if AB = 5, how would you find AC?

• x² = 5² + 5²

• 5² = x² + 5²

• x² = 10² + 10²

• x² = 2.5² + 2.5²

Multiple Choice

What equation would you use to solve for x in the square shown?

• 6x - 21 = 45

• 6x - 21 = 90

• 6x - 21 + 6x - 21 = 180