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1 2. 3 4. 5 6. 7 8. Congruent angles of parallel lines cut by a transversal. 1 2. 1 2. 3 4. 3 4. 5 6. 5 6. 7 8. 7 8. ALTERNATE INTERIOR ANGLES 3 6 and 4 5. VERTICAL ANGLES
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1 2 3 4 5 6 7 8 Congruent angles of parallel lines cut by a transversal 1 2 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 2 1 2 4 4 3 3 6 5 6 5 8 7 8 7 ALTERNATE INTERIOR ANGLES < 4 < 6, <3 <5 CORRESPONDING ANGLES LOOK FOR THE “F “ s: Regular, UpsideDown, or Backwards VERTICAL ANGLES <1 < 3
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 2 1 2 4 4 3 3 6 5 6 5 8 7 8 7 ALTERNATE INTERIOR ANGLES < 4 < 6, <3 <5 CORRESPONDING ANGLES LOOK FOR THE “F “ s: Regular, UpsideDown, or Backwards VERTICAL ANGLES <1 < 3
R I M P E E T E R Pe RIM -et er
Circumference = p x Diameter p = Circumference Diameter Cherry Pies Delicious
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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 • 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 C 1 c 1 2 2 C 3 4 c 4 3 C 6 c 5 5 6 8 7 8 c C 7 CORRESPONDING ANGLES LOOK FOR THE SMALL C’S AND THE LARGE C’S ALTERNATE INTERIOR ANGLES < 4 < 6, <3 <5 VERTICAL ANGLES <1 < 3 5 2 7 1
Pythagorean TheoremRight 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 ____________ _____________ ________ ________ _________ ____________
PeRIMe+er • Explain what is meant by perimeter. ________________________________________________________________ • Give some possible dimensions of a yard with a perimeter of 10. • ____________________________________________________________________________
Rectangle • Area = base X height A= bh Name some rectangles with areas of 80 ______________________________________________________________________________
E 90 E 135 45 180 0 E E 225 315 E 270 E E ROTATION Turn around a central point E
TRANSLATION Slide to a new location along a straight line After Before
Reflection Flip over a line of symmetry M M M M
Volume of a circle • 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