Warm Up 1. 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.

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Warm Up 1. 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

Square Diagonals are Perpendicular Diagonals bisect a pair of opposite angles All sides are congruent Contains 4 right angles Diagonals are the same. Diagonals bisect each other.

Rhombus Diagonals 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 congruent 2. all sides are congruent 3. diagonals are congruent 4. Two pairs of opposite sides are congruent and parallel 5. All sides and all angles are congruent 6. The diagonals are perpendicular

Use rhombus ABCD to find each 1. 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 False 1. 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. AB C D

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

Lesson Quiz: PQRS is a rhombus. Find each measure. 1. QP2. mQRP