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Chapter 6+. The opposite sides of a parallelogram are __________ and __________.

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Presentation on theme: "Chapter 6+. The opposite sides of a parallelogram are __________ and __________."— Presentation transcript:

1 Chapter 6+

2 The opposite sides of a parallelogram are __________ and __________

3 The opposite sides of a parallelogram are parallel and congruent: > > > > > >

4 Given the following parallelogram, find x and y: 10 8 x y

5 x = 8 y = 10

6 The opposite angles of a parallelogram are __________.

7 The opposite angles of a parallelogram are congruent. 70 0 110 0

8 The diagonals of a parallelogram __________________________.

9 The diagonals of a parallelogram bisect each other: 12 8 8

10 The diagonals of a rhombus are __________ and ___________.

11 The diagonals of a rhombus are perpendicular and bisect opposite angles: 30 60 30 60

12 The diagonals of a rectangle are __________________.

13 The diagonals of a rectangle are congruent: LN HS LH = NS

14 Name the sides of the following trapezoid: 1 2 3 4

15 1- leg 2- base 3- leg 4- base

16 The __________ of a trapezoid connects the midpoints of the legs

17 The midsegment of a trapezoid connects the midpoints of the legs:

18 Find the length of the midsegment: 10 20

19 Midsegment = ½ (10 + 20) = 15

20 Midpoint Formula: A (x 1, y 1 ) B (x 2, y 2 ) M ( _____, _____ )

21 x 1 + x 2 y 1 + y 2 2 2, Midpoint = average

22 Find LN: L ( x 1, y 1 ) N ( x 2, y 2 )

23 LN = (x 1 – x 2 ) 2 + (y 1 – y 2 ) 2 (Distance Formula)

24 What 3 shapes in Geometry have “legs”?

25 Right TriangleIsosceles Triangle Trapezoid

26 Name each shape: Quadrilateral

27 Name each shape: Quadrilateral Kite Rectangle Parallelogram Trapezoid Rhombus Square

28 Always, sometimes or never? A rhombus is _______ a square. A rectangle is _______ a parallelogram. A parallelogram is _______ a trapezoid.

29 A rhombus is sometimes a square. A rectangle is always a parallelogram. A parallelogram is never a trapezoid.

30 Name the following segment:

31 midsegment

32 Find x: 10 x

33 x = 5


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