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18 Cards in this Set

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