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18 Cards in this Set
 Front
 Back
Thm 71

area of a rectangle is the base times the height of the rectangle.


Thm 72

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 73

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 76

if c² > a² + b², then m<c > 90 degrees and triangle ABC is obtuse


Thm 77

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 78: 454590 Theorem

in a 454590 triangle, both legs are congruent and the length of the hypotenuse is the length of times the square root of 2


Thm 79: 306090 Theorem

in a 306090 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 710

the area of a trapezoid is half the product of the height and the sum of the two bases.


Thm 711

the area of a rhombus or a kite is half the product of the lengths of its diagonals
