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Parallelogram
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Which of the following are parallel lines?
(1) (2) (3) (4) (5) (6)
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Parallelogram Can you see a shape here?
Which of the following are parallel lines? Parallelogram (1) (2) (3) (4) (5) (6)
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A B D C AB∥CD AD∥BC symbol: written as: ABCD
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Which of the following shapes are parallelograms?
① ② ③ ④ D E F G ( ) × ( ) √ ( ) × ( ) √
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diagonal AC diagonal BD
How many diagonal lines are there in a parallelogram? Can you show it? A D B B C diagonal AC diagonal BD
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If you cut along one of the diagonal lines, what shapes can you get?
B C A parallelogram can be divided into two identical triangles. AB=CD,AD=BC ∠B=∠D ∠A=∠C
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There are groups of opposite edges;
Each group is (parallel or not parallel); The length of each group is (equal or unequal); This shape is called a 2 parallel equal parallelogram
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There are groups of opposite edges;
Each group is (parallel or not parallel); Length of each group is (equal or unequal); Adjacent edges are (perpendicular or not perpendicular) to each other; This shape is called a 2 parallel equal perpendicular rectangle
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Adjacent edges are (perpendicular or
not perpendicular) to each other; The length of all sides is (equal or unequal); This shape is called a perpendicular equal square
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parallelogram rectangle square
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Squares are a special kind of rectangle.
Parallelogram Squares are a special kind of rectangle. Squares and rectangles are special kinds of parallelograms.
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× × √ Judge Any two triangles could make a parallelogram. ( )
In a parallelogram, the 4 angles must be equal. ( ) In a parallelogram, the opposite sides are the same length. ( ) × × √
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Calculate the perimeter of the parallelogram
15+8+15+8 =23+15+8 =38+8 =46(cm) E G F H 15 cm 8cm 15×2+8×2 = 30+16 = 46(cm) 2×(15+8) = 2×23 = 46(cm)
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How many parallelograms are there in this image?
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