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Geometry Review A BASHAM Production
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Classifying Triangles memorize the chart SidesAngles EquilateralAcute IsoscelesObtuse ScaleneRight 3 equal sides 2 equal sides 0 equal sides < 90 degrees > 90 degrees = 90 degrees
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What are adjacent angles? How can you tell when angles are adjacent? How can you tell when they are not?
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Adjacent Angles A&B B&D D&C C&A Share a vertex and a side AB CD
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Which are Adjacent Angles?
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What are vertical angles? How can you tell when angles are vertical? What is special about being a vertical angle?
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Vertical Angles A&D B&C Across from each other, share a vertex but NOT a side AB CD
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Vertical Angles are CONGRUENT!!!!!! You can always set them equal to each other 2x 40 140 14y 100 80 40x 25y
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Vertical Angles are CONGRUENT!!!!!! Write an equation for each variable 2x 50 130 13y 70 110 5r 35s
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What does supplementary mean? What kind of angles do we know are supplementary?
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Supplementary: any angles that add up to 180 degrees, straight lines are always supplementary A B C D F G H J W X
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Supplementary: any angles that add up to 180 degrees, write an equation for each variable 98 B C D 87 G H J W 37
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What does complementary mean? What kind of angles do we know are complementary?
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Complementary: angles that add up to 90 degrees, right angles are always complementary 90˚ 60˚ 30˚
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Write an equation for each variable for these complementary angles 76˚ 28˚ y˚ x˚
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We can always write an equation for a triangle because we know all the angles add up to?????
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180 degrees
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Write an equation for each variable X7X 10Xy 72
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We can locate the longest and shortest sides by looking at the angles & We can locate the smallest and biggest angles by looking at the side measures
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X Y Z Order the sides from least to greatest 30 80 70
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X Y Z Order the angles from least to greatest 15 ft20 ft 34 ft
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How can we tell if 3 lengths will form a triangle???
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Add the two smaller sides together and the sum needs to be GREATER/BIGGER than the longest side Side 1+ Side 2 > Side 3
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Now lets apply our knowledge on some harder problems
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In ΔABC, m<B = 44x and m<C = 8x. Write and solve an equation to find the measure of each angle.
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Now lets apply our knowledge on some harder problems. In ∆XYZ, m ∠ X = (32x)° and m ∠ Z = (6.5x)° Write and solve an equation to find the measure of each angle.
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