Unit 6 Lesson 3 Properties of Rhombuses Rectangles

Unit 6 Lesson 3 Properties of Rhombuses, Rectangles And Squares

Both Opp. Sides parallel Parallelogram: Both Opp. Sides Both Opp. Angles Consecutive Angles Supp. y x x y x + y = 180° Diagonals bisect each other

Parallelogram Rhombus Rectangle

Rhombus: • Parallelogram with 4 congruent sides • Diagonals are • Diagonals bisect opposite angles

Parallelogram Rhombus Rectangle

Rectangle: • Parallelogram with 1 right angle • Diagonals are congruent

Parallelogram Rectangle Rhombus Square

Square: • A rectangle that is a rhombus

1. Determine the most specific name for the quadrilateral. Explain. Rhombus Diagonals are

1. Determine the most specific name for the quadrilateral. Explain. Rectangle Quad w/ 4 right angles

1. Determine the most specific name for the quadrilateral. Explain. Rhombus 4 sides

1. Determine the most specific name for the quadrilateral. Explain. Parallelogram Both pairs of opposite sides parallel

1. Determine the most specific name for the quadrilateral. Explain. Rectangle Diagonals are

1. Determine the most specific name for the quadrilateral. Explain. Square Rectangle from diagonals being Rhombus from diagonals being

2. The diagonals of rhombus PQRS intersect at T. Given that m RPS = 30° and RT = 6, find the indicated measure. m QPR = 30° 60° 30° m QTP = 90° m PQT = 60° RP = 12

3. The diagonals of rectangle WXYZ intersect at P. Given that m YXZ = 50° and XZ = 12, find the indicated measure. 40° WXZ = 40° PY = 6

4. The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure. GHF = 90° DGH = 45° HF = 5 45°

HW Problem LTs Assignment Due 6. 1, 6. 2 19 -26, 28, 32 -35, 38 -41, 44 -48 #26 Ans: Rhombus all sides are congruent x + 104 = 180 3 y = y + 8 y=4 x = 76°