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Geometry
Chapter 7
| Question | Answer |
|---|---|
| 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
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