Geometry Flashcards Preview

Quant Formulas > Geometry > Flashcards

Flashcards in Geometry Deck (45)
Loading flashcards...
1

acute angle

острый угол меньше 90 градусов

2

right angle

прямой угол

3

obtuse angle

тупой угол 90< x< 180

4

straight angle

угол 180 градусов

5

supplementary angle

смежный угол, sum of two angles is 180

6

complementary angle

if the sum of two angles is 90

7

polygon

многоугольник

8

triangle

треугольник

9

quadrilateral

четырехугольник

10

pentagon

пятиугольник

11

hexagon

шестиугольник

12

sum of interior angle measure of polygon

180*(n-2)

13

altitude

высота в треугольнике

14

Triangle. Supplementary angle is

is equal to the sum of the other angles

15

Triangle. The longest side

The longest side is opposite the largest angle; the shortest is opposite the smallest angle

16

Triangle.

The sum length of any two sides is greater than the length of third side

17

Triangle. Area

S=1/2 Base X altitude

18

scalene triangle

having no sides equal

19

isosceles triangle

равнобедренный

20

equilateral triangle

раносторонний

21

sides of the isosceles triangle sometimes called

legs

22

Equliateral Triangle. Properties

1. All sides are equal
2. Angels = 60
3. The intersection point of the altitudes is the centre circumscribed curcle about triangle and the center inscribed circle in triangle
4. R: r = 2: 1 (соотношение радиусов вписанной и описанной окружностей)
5. Area = sqrroot(3)/4 X a^2

23

Right Triangle.Pythogorean triple

Pythogorean triple:
3 : 4 : 5
5 : 12: 13
8 : 15:17
7:24:25

24

Right Triangle. 30-60-90 right triangle, the leg sides

C- гипотенуза
1/2С - против угла в 30 градусов
корень из (3)/2 = против угла в 60 градусов

25

Right Triangle. 45-45-90 right triangle, the leg sides

C- гипотенуза
корень из (2)/2 - оставшиеся стороны

26

Similar Triangles.

When Corresponding angles of two triangles are equal the triangles are said to be similar.
Angles are similar provided the following three conditions are satisfied:
1. all angles are equal
2. AB/A1B1 = AC/A1C1=BC/B1C1
3.AB/A1B1=AC/A1C1, angel A = A1

27

Equal Triangles

Two triangles are equal provided the following three conditions are satisfied:
1. AB=A1B1, AC=A1C1, BC=B1C1
2. AB = A1B1, AC=A1C1, angel A=A1
3.AB=A1B1, angle A=A1, angel B=B1

28

Parallelogram

Two Pairs of parallel sides
Properties:
1. The opposite sides are parallel:
AB||CD, AD || BC
2. The opposite sides are equal:
AB=CD, AD=BC
3. The opposite angles are equal:
angel A=C, B=D
4. The diagonals bisect each other:
AE=EC, BE=ED
5. The are of a parallelogram is equal to a side
S=A *H (высота к основанию)
6. сумма consecutive angles= 180

29

Rectangle.

Прямоугольник. Это параллелограммам у которого углы 90 градусов.

Properties of a rectangle:
1. the diagonals are equal:
AC=BD
2. The are of a rectangle is equal to the product of length and width: S=a X b

30

Rhombus

A parallelogram having four equal sides
Properties of a rhombus:
1. The diagonals are perpendicular:
AC parallel BD
2. The diagonals bisect the angles they join:
AC bisects angle A and C, BD bisects angle B and D
3. The are of rhombus is equal to one-half a product of the two diagonals:
S = 1/2 X d1 x d2
or S=a x h