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Lesson 1.3 Formulas:(Memorize) [1] [1]Area of a Triangle: [2] [2]Area of a Rectangle: [3] [3]Area of a Trapezoid: [4] [4]Area of a Kite: [5] [5]Area of a Circle: Geometry Applications (A)
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Formulas:(Memorize) [6] [6]Circumference of a Circle: [7] [7]Perimeter of a Rectangle: [8] [8]Pythagorean Theorem: [9] [9]Distance Formula:
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Warm-Up (1-28) [1]A 20 foot ladder is leaned against a wall. If the ladder reaches 16 feet up the wall, how far is the base of the ladder from the wall? (round to the 10 th ) [2]The area of a trapezoid is 120 cm 2. If the height is 10 cm and the longer base is 4 more than triple the shorter base, find the length of each base.
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Lesson 1.4 Pairs of Angles: Supplementary Angles: Geometry Applications (B) Angles whose sum is 180° Complementary Angles: Angles whose sum is 90°
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Pairs of Angles: Linear Pairs: Two adjacent angles whose non-common sides Are opposite rays (form a line). They are LP Supp Supplementary. LP Supp 1 2 3 4 (1-2, 3-4, 1-3, 2-4) Vertical Angles: Two angles whose sides are formed by 2 pairs of VA = Opposite rays. They are equal. VA = (1-4, 2-3)
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Example 1:Linear Pairs [A] (8x – 5)°(4x + 17)° 107° 73°
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Example 1:Linear Pairs [B] (10x – 5)°(5x – 10)° 125° 55°
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Example 2:Vertical Angles [A] (14x – 10)°(10x + 10)°60°
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Example 2:Vertical Angles [B] (20x – 5)°(10x + 25)° 55°
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Example 3:Miscellaneous Pairs [A] (3x + 2)° (5x + 8)° 32° 58°
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Example 3:Miscellaneous Pairs [B] (2x + 8)° (4x + 10)° 18° 30° (10x – 2)° 48°
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Example 3:Miscellaneous Pairs [C] (x + 40)° (3x – 20)° 70°
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Example 4:Applications [A] [A]A hockey player passes a puck to his teammate by passing off the bank so that it bounce off in the intended direction. Find the measure of angles 1 and 2. (Hint: m<1 = m<2) 12 80°
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Example 4:Applications [B] [B]A hockey player passes a puck to his teammate by passing off the bank so that it bounce off in the intended direction. Find the measure of angles 1 and 2. (Hint: m<1 = m<2) 12 (6x – 8)° (x)° 133°
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