Congruent angles of parallel lines cut by a transversal

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Presentation transcript:

Congruent angles of parallel lines cut by a transversal 1 2 1 2 3 4 5 6 7 8 1 2 3 4 3 4 5 6 5 6 7 8 7 8 ALTERNATE INTERIOR ANGLES 3  6 and 4  5 VERTICAL ANGLES 1  4, 2  3 5  8, and 6  7 CORRESPONDING ANGLES 1  5, 2  6, 3  7, and 4  8 * Cutting and sliding on top will give you corresponding angles

Congruent angles with parallel lines OR 1 1 2 2 4 3 4 3 6  5 5 6 8 7 8 7 ALTERNATE INTERIOR ANGLES < 4  < 6, <3  <5 VERTICAL ANGLES <1  < 3 CORRESPONDING ANGLES LOOK FOR THE “ F “ s: Regular, UpsideDown, or Backwards

Complementary Angles You only get a compliment when you get a 90 on your math test Two angles whose sum is = to 90o a + b = 90 a b

Congruent angles with parallel lines OR 1 1 2 2 4 3 4 3 6  5 5 6 8 7 8 7 ALTERNATE INTERIOR ANGLES < 4  < 6, <3  <5 VERTICAL ANGLES <1  < 3 CORRESPONDING ANGLES LOOK FOR THE “ F “ s: Regular, UpsideDown, or Backwards

Pe RIM -et er P E R I M E R E T

Cherry Pies Delicious Circumference = p = Circumference p x Diameter

A E R

Complementary Angles You only get a compliment when you get a 90 on your math test Two angles whose sum is = to 90o a b

Parallelogram A = bh 8 9 7 The h or height looks like a chair The chair has to sit flat on the floor so as not to tip over A = bh Find the area of the shape on the right 8 9 7

Congruent angles with parallel lines 1 c 1 2 2 C 3 4 c 4 3 C 6 c  5 5 6 8 7 8 c C 7 ALTERNATE INTERIOR ANGLES < 4  < 6, <3  <5 VERTICAL ANGLES <1  < 3 CORRESPONDING ANGLES LOOK FOR THE SMALL C’S AND THE LARGE C’S 5 2 7 1

Pythagorean Theorem Right On with Right Triangles hypotenuse hypotenuse 6 5 3 10 4 8 a2 + b2 = c2 32 + 42 = 52 + 16 = 25 25 = 25 a2 + b2 = c2 62 + 82 = 102 + 64 = 100 100 = 100

Sin Cosine Tangent Cos = Cah Sin = Soh Tan = Toa Hypotenuse Hypotenuse Opposite Opposite Angle a Angle a Angle a Adjacent Adjacent

Special Quadrilateral Family ____________ _____________ ________ ________ _________ ____________

Pe RIM e + er Explain what is meant by perimeter. ________________________________________________________________ Give some possible dimensions of a yard with a perimeter of 10. ____________________________________________________________________________

Rectangle A= bh Area = base X height Name some rectangles with areas of 80 ______________________________________________________________________________

Turn around a central point ROTATION Turn around a central point E E 45 90 135 180 225 270 315

Slide to a new location along a straight line TRANSLATION Slide to a new location along a straight line After Before

Flip over a line of symmetry Reflection Flip over a line of symmetry M M M M

Volume of a circle  R2  R2 Volume paint the bottom of the can Find the area of circle  R2 Multiply by the height  R2

Volume of a Prism Find the area of the bottom l w Multiply by the height l w h Paint the bottom of the box