8.4 – Properties of Rhombuses, Rectangles And Squares

8.4 – Properties of Rhombuses, RectanglesAnd Squares

Rhombus:

• Parallelogram with 4 congruent sides

• Diagonals are

• Diagonals bisect opposite angles

Rectangle:

• Parallelogram with 1 right angle

• Diagonals are congruent

Square:

• A rectangle that is a rhombus

1. Name the type of parallelogram. Explain.

Rhombus

Diagonals are

1. Name the type of parallelogram. Explain.

Rectangle

1 right angle

1. Name the type of parallelogram. Explain.

Rhombus

4 sides

1. Name the type of parallelogram. Explain.

Square

4 congruent sides and all angles are right angles.

1. Name the type of parallelogram. Explain.

Rectangle

Diagonals are

1. Name the type of parallelogram. Explain.

Square

Rectangle from diagonals being Rhombus from diagonals being

2. The diagonals of rhombus PQRS intersect at T. Given that mRPS = 30° and RT = 6, find the indicated measure.

mQPR = 30° 30°

2. The diagonals of rhombus PQRS intersect at T. Given that mRPS = 30° and RT = 6, find the indicated measure.

mQTP = 90° 30°90°

2. The diagonals of rhombus PQRS intersect at T. Given that mRPS = 30° and RT = 6, find the indicated measure.

RP = 12 30°90°

3. The diagonals of rectangle WXYZ intersect at P. Given that mYXZ = 50° and XZ = 12, find the indicated measure.

WXZ = 40°

3. The diagonals of rectangle WXYZ intersect at P. Given that mYXZ = 50° and XZ = 12, find the indicated measure.

PY = 6

4. The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure.

GHF = 90°

4. The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure.

DGH =45°

4. The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure.

HF = 5

HW Problem8.4 537-538 19-26, 28, 32-35, 38-41, 44-48

#26

Ans: Rhombus

all sides are congruent

x + 104 = 180

x = 76°

3y = y + 8

y = 4