math angle & circle theorems Flashcards

100% (40 cards)

1
Q

composite shape

A

two or more simple shapes combined together

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2
Q

rectangle area

A

b x h

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3
Q

triangle area

A

bxh/2

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4
Q

parallelogram area

A

b x h

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5
Q

trapezoid area

A

(a+b/2) h

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6
Q

circumference of a circle

A

2piR

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7
Q

pythargoram theorem only works with

A

right angle triangles

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8
Q

angles at a point

A

the sum of the sizes of the angles at a point is 360

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9
Q

supplementary angles/adjacent angles on a straight line

A

the sum of the angles on a straight line is 180

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10
Q

adjacent angles in a right angle

A

the sum of the angles in a right angle triangle is 90

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11
Q

vertically opposite angles

A

vertically opposite angles are always equal

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12
Q

corresponding angle F

A

when two parallel lines are cut by a third line the corresponding positions are equal in size.

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13
Q

alternate angles Z

A

when two parallel angles are cut by a third line the angles on either side of the two non parallel lines are equal

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14
Q

co - interior angles C

A

when two parallel lines are cut by a third line the co - interior angles add to 180

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15
Q

sum of interior angles in a triangle

A

the sum of all interior angles of a triangle equal 180

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16
Q

exterior angles in a triangle

A

the exterior angle of a triangle is equal to the sum of the exterior opposite angle

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17
Q

sum of interior angles in a quadrilateral

A

the sum of all interior angles in a quadrilateral is 360

18
Q

equation for sum of interior angles

A

x being number of sides
(x - 2) x 180

19
Q

vertex (vertices)

A

intersections/corners of a shape

20
Q

polygon

A

a two - dimensional enclosed figure made by joining three or more straight lines

21
Q

regular polygon

A

when all the sides of interior angles are equal

22
Q

median

A

a line segment that connects a vertex of a triangle to the mid point of the opposite side

23
Q

tangent

A

a line that touches the curve or surface of a circle for only a point and does not cross it

24
Q

altitude

A

the highest height of a shape

25
chord
a straight line that connects to two different points on the circles curve
26
perpendicular bisector/right bisector
a line that bisects another line segment at a right angle through the intersection point
27
alternate segment theorem
the angle that lies between a tangent and a chord is equal to the angle suspended by the same chord in the alternate segment
28
angles at the center theorem
the angle at the center is twice the size as the angle at the circumference
29
angles in the same segment theorem
angles in the same segment are equal
30
angles of a triangle in a semi circle
the angles in a semi circle triangle is 90
31
chord of a circle
the perpendicular from the center of a circle to a chord bisects the chord splits the chord into equal pairs
32
cyclic (four sided shape that can fit in a circle so that each vertex touches the circumference) quadrilateral
the opposite angle in a cyclic quadrilateral totals 180
33
tangent of a triangle
the angle between a tangent and a radius is 90
34
a prism
3D shape with the same shape throughout it's length
35
volume
the amount of space that occupies the inside of a prism
36
surface area
the area of the whole surface of a prism
37
volume of a rectangular prism
length x width x height
38
volume for any solid of uniform cross section
are of front face x length of prism
39
volume of square based prisms
1/3 x base area x height
40