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Vocabulary. Square Parallelogram Pair Parallel Pair of equal sides Rectangle Rhombus Quadrilateral Trapezoid. Parallel Lines. Parallel lines exist everywhere, if you look for them. Here are some examples of parallel lines. Parallel Lines These are lines that never intersect.
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Vocabulary • Square • Parallelogram • Pair • Parallel • Pair of equal sides • Rectangle • Rhombus • Quadrilateral • Trapezoid
Parallel Lines • Parallel lines exist everywhere, if you look for them. Here are some examples of parallel lines.
Parallel Lines These are lines that never intersect. Intersect means that the lines never touch, they always stay the same distance from each other. For Example: These two pencils are parallel
What are not parallel lines? • Any lines that intersect are not parallel.
Share with your partner Look around the room and see if you can find any parallel lines. What do you see? _____________ has parallel lines. Explain to your partner what a parallel line is and where you can find them. Parallel lines are _______________ and you can find them ______________.
Pairs of Parallel Lines • When we are talking about parallel lines, we are always talking about pairs of parallel lines. • What is a “pair”? • How many are in a pair? Let’s look at this…
What things come in pairs? Things that come in pairs
Pair … of eyes of shoes of hands of crutches of socks
“Pairs” • All of these things are pairs, but how many are in the pair? • Tell your partner how many socks are in a pair. That’s right, 2!!!
Pairs 2 socks = 1 pair of socks 2 shoes = 1 pair of shoes 1 pair of crutches = 2 crutches 1 pair of eyes = 2 eyes 2 hands = 1 pair of hands Good Job!! Let’s see if you get this…
Polygons with Parallel Lines • Some polygons have parallel lines. • Remember, you have to have 2 lines (pair) to make 1 pair of parallel lines. • Let’s take a look
Parallel lines exist in geometry If you look at polygons you can find parallel lines. Remember that parallel lines never touch.
Can you guess which polygon has parallel lines? Talk to your partner and explain which polygon has parallel lines: The polygon on the right/left has parallel lines because ________________.
Count the pairs of parallel lines in the polygons 2 This shape has _______ pairs of parallel lines. 2 pairs 1 pair 2 This shape has _______ pairs of parallel lines. 1 pair 2 pairs 1 pair 1 This shape has _____ pairs of parallel lines.
Find how many pairs of parallel lines are in the polygons. Pairs _____ Pairs _____ Pairs _____ Pairs _____ Pairs _____ Pairs _____
We learned that the prefix quadri means 4, and that a polygon with four sides is called a quadrilateral. Let’s take a look at some different types of quadrilaterals.
quadrilaterals • How do you know if a polygon is a quadrilateral? • If a polygon has 4 sides, it is • quadrilateral. • The sides and angles are • what determine the type • of quadrilateral it is. 1 4 2 3
square • The perfect quadrilateral. What makes a square? • A square has 4 equal sides. • A square has 4 right angles.
rectangle • What makes a rectangle? • A rectangle has 2 pairs of equal sides. • A rectangle has 4 right angles. • That means that a square is also a rectangle. • Turn to your partner and tell them why a square is a rectangle. • A square is a rectangle because ________________.
rhombus • The rhombus is the cousin of the square. • A rhombus has 4 equal sides. • But, a rhombus can have any angles. • That means that a square is also a rhombus. Turn to your partner and Tell them why a square is A rhombus. A square is a rhombus because ________________________.
parallelogram The parallelogram is the cousin of the rectangle. • A parallelogram has 2 pairs of equal sides. • But, a parallelogram can have any angles. • Talk to your partner. Do you think that a square or a rectangle is a parallelogram. Why?
my turn Which figure has two pairs of equal sides? A circle B hexagon C rectangle D octagon
your turn Which figure always has 4 equal sides? A circle B hexagon C rectangle D square
my turn One side of a rectangle is 3 ins. long. Another side is 7 ins. long. What are the lengths of the other sides of the rectangle? A They could be any length B 3 ins. and 3ins. C 7 ins. and 7 ins. D 3 ins. and 7 ins. 7 in 3 in 3 in 7 in
your turn One side of a square is 5 cms. long. What are the lengths of the other sides of the square? A 5 cms B 10 cms C 15 cms D 20 cms 5 cms 5 cms 5 cms 5 cms
So what did you learn today? • What is a pair? • A pair is ________________________. • What are parallel lines? • Parallel lines are __________________. • What is a quadrilateral? • A quadrilateral is __________________. • What are the 4 different types of quadrilaterals? • ___________, ___________, __________, and ___________ are different types of quadrilaterals.