Chap 3 - lines, angles, shapes Flashcards

1
Q

define supplementary

A

add up to 180

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2
Q

define complimentary

A

add up to 90

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3
Q

angle of circle

A

360

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3
Q

define vertex

A

where 2 lines meets, the angle point

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4
Q

define perpendicular

A

intersect as 90

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5
Q

define vertically opp angles

A

opp angles are same

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6
Q

define parallel

A

-lines that never meet
-have arrows

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7
Q

define corresponding angles

A

same angles on diff lines

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8
Q

define alternate interior angles

A

same angles inside Z shape

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9
Q

define alternate exterior angles

A

-same angles outside Z shape
-vertically opp of alternate interior angles

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10
Q

define co-interior angles

A

-angles in Z add up to 180 (supplementary)
-C shape

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11
Q

define revolution

A

360, full circle

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12
Q

define obtuse angle

A

over 90, less 180

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13
Q

define reflex

A

more 180, less 360

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14
Q

define straight line

A

180

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15
Q

define right angle

A

90

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16
Q

how to name angles

A

vertex in middle btw ends

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17
Q

define acute angle

A

less 90

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18
Q

how to measure angles

A

-use protractor
-make a straight line from vertex if needed

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19
Q

define angles around a point

A

they all add up to 360

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20
Q

define scalene triangle

A

-no equal sides
-no equal angles

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21
Q

define isosceles triangle

A

-2 equal side lengths
-angles at bases are equal

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22
Q

define acute trangles

A

-all angles< 90

22
Q

define equilateral triangle

A

-equal sides
-equal angles

23
Q

define right angled triangles

A

-1 angle is 90

24
Q

define obtuse triangles

A

-1 angle is >90

25
Q

angle in triangle

A

180

26
Q

Exterior Angles Theorem

A

a + b + c= 180
x= a + b
c= 180 - x
-exterior angles is equal to sum of opp interior angles

27
Q

define regular

A

all sides and angles equal

27
Q

define bisect

A

cut exactly in half

27
Q

formula of exterior angles of regular polygons

A

360 / n
n = no. sides

28
Q

formula of interior angles of regular polygons

A

180 ( n -2 )
n = no. sides

29
Q

define polygon

A

a shape with 3 or more straight sides

30
Q

define concave polygons

A

a polygon with at least 1 interior angle over 180
-cannot be triangle

31
Q

define convex polygons

A

polygon with all interior angles less than 180

32
Q

is a circle a polygon

A

no

33
Q

can a triangle be a concave polygon

A

no, concave polygons require 4 sides as one of the angles have to be above 180

34
Q

properties of parallelogram

A

-diagonals bisect each other
-opp angles equal
-opp sides equal and parallel

35
Q

properties of rectangle

A

-diagonals equal and bisect each other
-all angles 90
-opp sides equal and parallel

36
Q

properties of square

A

-diagonals equal, bisect angles and each other at 90
-all angles 90
-all side equal

37
Q

properties of rhombus

A

-diagonals bisect angles and each other at 90
-opp angles equal
-opp sides parallel
-all side equal

38
Q

properties of trapezium

A

-1 pair of parallel sides

39
Q

properties of kite

A

-diagonals bisect angles and intersect at 90
-1 pair of opp angles are equal
-2 pairs of equal adjacent sides

40
Q

2 types of trapezium

A

-isos. trap.
-perpendicular trap.

41
Q

relationship of rectangle and square

A

-square is a rectangle but rectangle is not a square

42
Q

how to find sum of interior angles in a polygon

A

-from 1 point draw lines to other points inside the polygon
-180 x no. triangles found

43
Q

polygon name with:
5, 6, 7, 8, 9, 10 sides

A

-pentagon
-hexagon
-heptagon
-octagon
-nonagon
-decagon

44
Q

define circumference

A

perimeter of circle

45
Q

define diameter

A

straight line from side to side of circle passing through center

46
Q

define radius

A

straight line form 1 side of circle to center

47
Q

define minor arc

A

arc less than 180

48
Q

define major arc

A

arc more than 180

49
Q

define minor sector

A

sector with central angle less than 180

50
Q

define major sector

A

sector with central angle more than 180

51
Q

define minor segment

A

part btw a chord and a minor arc

52
Q

define major segment

A

part btw a chord and a major arc

53
Q

define chord

A

straight line from side to side of circle without passing through center