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Unit 2 Super Review Geometry Guy
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A POINT identifies a location in space. Draw: Write: Say:
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A POINT identifies a location in space. Draw: H Write: Say:
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A POINT identifies a location in space. Draw: H Write: H Say:
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A POINT identifies a location in space. Draw: H Write: H Say: “point H”
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A LINE extends forever in both directions. Draw: Write: Say:
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A LINE extends forever in both directions. Draw: Write: Say: G H
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A LINE extends forever in both directions. Draw: Write: GH or HG Say: G H
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A LINE extends forever in both directions. Draw: Write: GH or HG Say: “line GH” or “line HG” G H
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A LINE extends forever in both directions. Draw: Write: GH or HG Say: “line GH” or “line HG” G H
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A LINE SEGMENT is a part of a line. It has a beginning and an end (endpoints). Draw: Write: Say:
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A LINE SEGMENT is a part of a line. It has a beginning and an end (endpoints). Draw: Write: Say: P Q
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A LINE SEGMENT is a part of a line. It has a beginning and an end (endpoints). Draw: Write: PQ or QP Say: P Q
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A LINE SEGMENT is a part of a line. It has a beginning and an end (endpoints). Draw: Write: PQ or QP Say: “line segment PQ” or “line segment QP” P Q
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Line segments are used to make. A is a closed, 2- dimensional figure. It has an INSIDE and an OUTSIDE.
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… it isn’t closed.
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Two of these line segments intersect.
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It has curved areas. To be a polygon, the figure must have straight sides.
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We can determine the perimeter of What is perimeter?
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The Perimeter Song (sung to the tune of “Jingle Bell Rock”) Perimeter, perimeter – the distance around Measure the sides, take what you’ve found Add them all up and the sum that you get – With a label, that’s PERIMETER! Perimeter, perimeter – the distance around Measure the sides, take what you’ve found Add them all up and the sum that you get – That’s PERIMETER!
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What is the perimeter of this figure (which happens to be a quadrilateral)?
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The perimeter is 1 cm + 4 cm + 2 cm + 5 cm = 12 cm
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What is the perimeter of this rectangle?
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One fact I know about rectangles is that opposite sides are equal in length.
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The perimeter is 3 inches + 3 inches + 5 inches + 5 inches = 16 inches I hope you said “inches” and not “centimeters”!!!!!!!!
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What is the perimeter of this square?
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I know that a square has 4 equal sides.
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The perimeter of this square is 2cm + 2cm + 2cm + 2cm = 8cm You could also write 4 X 2 cm = 8 cm
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P arallel Lines Versus Perpendicular Lines
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The Perpendicular Song (to the tune of “Yankee Doodle Dandy”) Two lines are perpendicular if they form a right angle. “Right angle” is another way that you can say “square corner”. These lines are perpendicular: These lines aren’t: These lines are perpendicular: These lines aren’t!
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Do you see the square corners? (also known as “right angles”)? Important: When we say “right angles”, we don’t mean they “go to the right”, or that any other kind of angle is “wrong”!!! Two lines are perpendicular if they form a right angle. “Right angle” is another way that you can say “square corner”. These lines are perpendicular: These lines aren’t: These lines are perpendicular: These lines aren’t!
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Now, let’s sing The Parallel Song! SORRY! There is no Parallel Song!
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But it’s easy to remember what parallel means…just look at the word: para ll el
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Parallel lines are the same distance apart everywhere will never intersect in either direction
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I get it! But what’s a parallelogram?
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A parallelogram is… a four-sided figure… whose opposite sides are… parallel! Do you see how the OPPOSITE SIDES of these QUADRILATERALS are parallel to each other? These figures are PARALLELOGRAMS!
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Classifying Quadrilaterals
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Before we do that… let’s classify something else! Chihuahua Greyhound
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Let’s say this oval represents all animals. animals
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The smaller oval is a type of animal – dogs. animals dogs
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Next, we have an oval inside the “dogs” oval. It is for “hounds”. A hound is a type of dog. animals dogs hounds
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Finally, we have an oval for a specific kind of hound – a greyhound. animals dogs hounds greyhound
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Where should I go in the diagram? I am an ANIMAL. I am a special type of animal – a DOG. …but I am NOT a hound.
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I can be inside the ANIMAL oval, and I can also go inside the DOGS oval. But I must stay out of the HOUNDS oval, because I am NOT a hound. animals dogs hounds greyhound
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Where will I go in the diagram? I am an ANIMAL. I am a special type of animal – a DOG. I am a special type of dog – a HOUND. I am a special type of hound - a GREYHOUND.
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I can be inside all of these ovals because I am a greyhound, which is a type of hound, which is a type of dog, which is an animal! animals dogs hounds greyhound
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What about me? …and me!
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Let’s use this diagram! Q uadrilaterals P arallelograms R ectangles S quares
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“We all have ____ sides! We are all ________!”
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We’re all quadrilaterals (because we have 4 sides), but some of us can cross over into the PARALLELOGRAMS oval! Q uadrilaterals P arallelograms R ectangles S quares
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Not me! I don’t have two pairs of parallel sides! My top and bottom are not parallel!
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If we have 4 _______ _________, we can move into the RECTANGLES oval! Q uadrilaterals P arallelograms R ectangles S quares
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We both have four square corners, or you might say, we each have four right angles! So, we are rectangles!
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Not me. I don’t have ANY right angles (square corners).
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One of us is a square. Do you know who is? Red or purple? Q uadrilaterals P arallelograms R ectangles S quares
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Yes, purple is a SQUARE because it has 4 ______ ______. Q uadrilaterals P arallelograms R ectangles S quares
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Yes, I am a quadrilateral, a parallelogram and a rectangle. But I am a SPECIAL rectangle! I have 4 equal sides! I am a SQUARE!
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What are you? Just kidding!
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Goodbye from Geometry Guy! You’re ALL special!
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WAIT! WAIT! What about ME?
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The important thing about me is… I have 4 equal sides. But you’re not a SQUARE. You don’t have 4 right angles (square corners).
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You’re right! But a square is in my family, too! I know, you are a RHOMBUS!
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Let’s see how we would classify YOUR shape! rhombus square
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A rhombus is a parallelogram with 4 equal sides. A square is a special rhombus because it has 4 right angles. And, like we said before, A square is a special rectangle because it has 4 equal sides.
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Now, the final goodbye from Geometry Guy! You’re ALL special! I told you I was special!
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