Warm Up1. A woodworker constructs a

rectangular picture frame so that JK = 50 cm and JL = 86 cm. Find HM.

2. A slab of concrete is poured with diagonal spacers. In rectangle CNRT, CN = 35 ft, and NT = 58 ft. Find each length.

a) Find TR b) Find CE

Section 6.4

SquareDiagonals are PerpendicularDiagonals bisect a pair of opposite anglesAll sides are congruentContains 4 right anglesDiagonals are the same. Diagonals bisect each other.

RhombusDiagonals are perpendicular.Diagonals bisect a pair of opposite angles.All sides are congruent.Diagonals are not the same. Diagonals bisect each other.

Name all Quadrilaterals with these properties:1. all angles are congruent2. all sides are congruent3. diagonals are congruent4. Two pairs of opposite sides are congruent

and parallel5. All sides and all angles are congruent6. The diagonals are perpendicular

Use rhombus ABCD to find each1. If m∠BAF = 28. Find all missing

angles.

2. Find x if m∠AFB = 16x + 6.

3. If m∠ACD = 36. Find m∠ABC.

4. Find x if m∠BFC= 120 – 4x.

5. AF= 3, AD = 5, find DF.

1. If m∠RST = 67. Find all missing angles.

2. Find all missing angles if m∠STV = 135.

3. If m∠SWT = 2x + 8. Find x.

4. If m∠WRV = 5x +5 and m∠WRS = 7x – 19. Find x.

True or False1. Every square is a rhombus.2. Every rhombus is a square. 3. Every rectangle is a

square.4. Every square is a

rectangle.5. All rhombi are

parallelograms.6. Every parallelogram is a

rectangle.

ABCD is a square.1. m ABD = 5x + 5. Find x. ⦟

A B

CD

ABCD is a square.2. If BD = 10 inches, what does AB measure?

Lesson Quiz:

PQRS is a rhombus. Find each measure.

1. QP 2. mQRP