Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
14 Cards in this Set
- Front
- Back
|
Altitude of a quadrilateral
|
An altitude of any quadrilateral that has parallel sides is the distance between them.
|
|
|
Altitude of a triangle
|
See page 352
|
|
|
Area
|
See page 338
|
|
|
Polygonal region
|
See page 339
|
|
|
Postulate 8: The Area Postulate
|
(1) congruent triangles have equal areas and
(2) the area of a polygonal region is equal to the sum of the areas of its non-overlapping parts. |
|
|
Postulate 9
|
The area of a rectangle is the product of its base and altitude.
|
|
|
Corollary to Postulate 9
|
The area of a square is the square of its side.
|
|
|
Theorem 38
|
The area of a right triangle is half the product of its legs.
|
|
|
Theorem 39
|
The area of a triangle is half the product of any base and corresponding altitude.
|
|
|
Corollary to Theorem 39
|
Triangles with equal bases and equal altitudes have equal parts.
|
|
|
Theorem 40
|
The area of a parallelogram is the product of any base and corresponding altitude.
|
|
|
Theorem 41
|
The area of a trapezoid is half the product of its altitude and the sum of its bases.
|
|
|
Theorem 42: The Pythagorean Theorem
|
The square of the hypotenuse of a right triangle is equal to the sum of the squares of its legs.
|
|
|
Theorem 43
|
If the square of one side of a triangle is equal to the sum of the squares of the other two sides, the triangle is a right triangle.
|
