Chap 3 - lines, angles, shapes

Question 1

define supplementary

Answer 1

add up to 180

Question 2

define complimentary

Answer 2

add up to 90

Question 3

angle of circle

Answer 3

360

Question 3

define vertex

Answer 3

where 2 lines meets, the angle point

Question 4

define perpendicular

Answer 4

intersect as 90

Question 5

define vertically opp angles

Answer 5

opp angles are same

Question 6

define parallel

Answer 6

-lines that never meet
-have arrows

Question 7

define corresponding angles

Answer 7

same angles on diff lines

Question 8

define alternate interior angles

Answer 8

same angles inside Z shape

Question 9

define alternate exterior angles

Answer 9

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

Question 10

define co-interior angles

Answer 10

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

Question 11

define revolution

Answer 11

360, full circle

Question 12

define obtuse angle

Answer 12

over 90, less 180

Question 13

define reflex

Answer 13

more 180, less 360

Question 14

define straight line

Answer 14

180

Question 15

define right angle

Answer 15

90

Question 16

how to name angles

Answer 16

vertex in middle btw ends

Question 17

define acute angle

Answer 17

less 90

Question 18

how to measure angles

Answer 18

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

Question 19

define angles around a point

Answer 19

they all add up to 360

Question 20

define scalene triangle

Answer 20

-no equal sides
-no equal angles

Question 21

define isosceles triangle

Answer 21

-2 equal side lengths
-angles at bases are equal

Question 22

define acute trangles

Answer 22

-all angles< 90

Question 22

define equilateral triangle

Answer 22

-equal sides
-equal angles

Question 23

define right angled triangles

Answer 23

-1 angle is 90

Question 24

define obtuse triangles

Answer 24

-1 angle is >90

Question 25

angle in triangle

Answer 25

180

Question 26

Exterior Angles Theorem

Answer 26

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

Question 27

define regular

Answer 27

all sides and angles equal

Question 27

define bisect

Answer 27

cut exactly in half

Question 27

formula of exterior angles of regular polygons

Answer 27

360 / n n = no. sides

Question 28

formula of interior angles of regular polygons

Answer 28

180 ( n -2 ) n = no. sides

Question 29

define polygon

Answer 29

a shape with 3 or more straight sides

Question 30

define concave polygons

Answer 30

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

Question 31

define convex polygons

Answer 31

polygon with all interior angles less than 180

Question 32

is a circle a polygon

Answer 32

no

Question 33

can a triangle be a concave polygon

Answer 33

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

Question 34

properties of parallelogram

Answer 34

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

Question 35

properties of rectangle

Answer 35

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

Question 36

properties of square

Answer 36

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

Question 37

properties of rhombus

Answer 37

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

Question 38

properties of trapezium

Answer 38

-1 pair of parallel sides

Question 39

properties of kite

Answer 39

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

Question 40

2 types of trapezium

Answer 40

-isos. trap. -perpendicular trap.

Question 41

relationship of rectangle and square

Answer 41

-square is a rectangle but rectangle is not a square

Question 42

how to find sum of interior angles in a polygon

Answer 42

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

Question 43

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

Answer 43

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

Question 44

define circumference

Answer 44

perimeter of circle

Question 45

define diameter

Answer 45

straight line from side to side of circle passing through center

Question 46

define radius

Answer 46

straight line form 1 side of circle to center

Question 47

define minor arc

Answer 47

arc less than 180

Question 48

define major arc

Answer 48

arc more than 180

Question 49

define minor sector

Answer 49

sector with central angle less than 180

Question 50

define major sector

Answer 50

sector with central angle more than 180

Question 51

define minor segment

Answer 51

part btw a chord and a minor arc

Question 52

define major segment

Answer 52

part btw a chord and a major arc

Question 53

define chord

Answer 53

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