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18 Cards in this Set
- Front
- Back
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Thm 7-1
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area of a rectangle is the base times the height of the rectangle.
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Thm 7-2
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area of a parallelogram is base times the height of the paralellogram.
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base of a parallelogram
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any of the sides
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corresponding altitudes of a parallelogram
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the segment perpendicular to the line containing the base drawn from the side opposite the base
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height of a parallelogram
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length of the altitude
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Thm 7-3
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Area of a triangle is half the base times the height of the trianlge.
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Base of a triangle
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any of its sides
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corresponding height of a triangle
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the length of the altitude to the line containing the base
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Pythagorean Thm
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in a right triangle, the sum of the squares of the legs are equal to the square of the hypotenuse.
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Converse Pythagorean Thm
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if the sum of the squares of the legs of a triangle equal the length of the square of the longest side, then it is a right triangle.
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Thm 7-6
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if c² > a² + b², then m<c > 90 degrees and triangle ABC is obtuse
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Thm 7-7
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if c² < a² + b², then m<c < 90 degrees and triangle ABC is acute.
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Pythagorean Triples
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a set of nonzero whole numbers that satisfies the equation c²=a²+b²
3 4 5, 5 12 13, 8 15 17 |
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Thm 7-8: 45-45-90 Theorem
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in a 45-45-90 triangle, both legs are congruent and the length of the hypotenuse is the length of times the square root of 2
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Thm 7-9: 30-60-90 Theorem
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in a 30-60-90 triangle, the hypotenuse is twice is twice as long as the shorter leg and the longer leg is the square root of 3 times the shorter leg.
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height of a trapezoid
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the perpendicular distance between the bases
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Thm 7-10
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the area of a trapezoid is half the product of the height and the sum of the two bases.
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Thm 7-11
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the area of a rhombus or a kite is half the product of the lengths of its diagonals
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