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Geometry

Chapter 7

QuestionAnswer
Area Of A Rectangle the product of its base and height A=bh
Area Of A Parallelogram the product of a base and the corresponding height A=bh
Base Of A Parallelogram any of its sides
Corresponding Altitude a segment perpendicular to the line containing that base drawn from the side opposite the base
Height (Parallelogram) the length of an altitude
A Diagonal divides any parallelogram into two congruent triangles
Theorem 7-3 the area of a triangle is half the product of a base and the corresponding height A=1/2bh
Base Of A Triangle any of its sides
Corresponding Height (Triangle) the length of the altitude to the line containing that base
Theorem 7-4 in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse a2+b2=c2
Pythagorean Triple a set of nonzero whole numbers a,b, and c that satisfy the equation a2+b2=c2
Note About The Pythagorean Triple if you multiply each number in a Pythagorean triple by the same whole number, the three numbers that result also form a Pythagorean triple
Theorem 7-5 (Converse Of The Pythagorean Theorem) if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, the triangle is obtuse, if c2<a2+b2, the triangle is acute
Theorem 7-6 if the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides, the triangle is obtuse, if c2>a2+b2, the triangle is obtuse
Theorem 7-7 if the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides,the triangle is acute, if c2<a2+b2, the triangle is acute
Bases Of A Trapezoid the parallel sides
Legs Of A Trapezoid the nonparallel sides
Height Of A Trapezoid the perpendicular distance h between the bases
Theorem 7-10 (Area Of A Trapezoid) the area of a trapezoid is half the product of the height and the sum of the bases
What do rhombuses and kites have in common? both have perpendicular diagonals
Theorem 7-11 (Area Of A Rhombus Or A Kite) the area of a rhombus or a kite is half the product of the lengths of its diagonals A=1/2d1d2
Theorem 7-12 (Area Of A Regular Polygon) the area of a regular polygon is half the product of the apothem and the perimeter
Center Of A Regular Polygon the center of the circumscribed circle
Radius the distance from the center to a vertex
Apothem the perpendicular distance from the center to a side, the apothem bisects the vertex angle of the isosceles triangle formed by the radii
Created by: jordinlevy