1. Drawing an angle:Requirements: pencil, ruler, protractor.
1.1 Always begin by drawing a base line.
1.2 Make a mark, e.g. on the left, and position the protractor on the mark.
1.3 Read your protractor from 0°.
1.4 In the case of an angle that is larger than 180°, the relevant angle size must be deducted from 360° before it is drawn. The angle around the outside (the reflex angle) is the angle that you will have to draw.
E.g. 320°: (360° – 320° = 40°). Draw a 40°angle. The reflex angle now represents the 320°.
2. Construct the following angles and name each one:
A$\stackrel{\u02c6}{B}$C = 75°
Type of angle:
2.2
C$\stackrel{\u02c6}{D}$E = 135°
Type of angle:
2.3
F$\stackrel{\u02c6}{G}$H = 215°
Type of angle:
3. Constructing a triangle:
Requirements: pencil, ruler, protractor and pair of compasses.
Always begin by making a rough sketch.
Then use one of the sides of which the length is provided as a base.
E.g. construct
$\Delta $ABC with
BC = 40 mm,
$\stackrel{\u02c6}{B}$ = 70° and
$\stackrel{\u02c6}{C}$ = 50°.
Rough sketch:
To measure a lateral length accurately, you must measure the length on you ruler with the help of a pair of compasses. Then the compass point must be positioned on
B and the position of
C must be indicated with a pencil mark.
Construction:
4. Construct each of the following triangles:
4.2
$\Delta $PQR with
QR = 58 mm,
P$\stackrel{\u02c6}{Q}$R = 62° and
Q$\stackrel{\u02c6}{P}$R = 69°.
Measure:
PQ = mm
$\stackrel{\u02c6}{R}$ =
4.2 Isosceles
$\Delta $ABC with
BC = 42 mm,
AB =
AC and
$\stackrel{\u02c6}{B}$ = 63°.
Measure:
a) PQ = mm
Activity 2
Bisecting any given line or angle
[lo 3.4, 3.5, 4.7]
Bisecting a given line
AB :
Measuring line segment
AB (e.g. 40 mm).
Using a pair of compasses, measure slightly more than half of the line(i.e. ± 22-25 mm).
Position the point of the pair of compasses on
A and make a pencil stroke below and above the line.
Position the point of the compasses on
B and draw another pencil stroke above and below the line.
Connect the intersections of the pencil strokes.
Name the point on line
AB ,
P. P is the centre of line
AB .
2. Now try the following:
Draw line segment
PQ = 70 mm.
Bisecting line segment
PQ , as in nr. 1 explained.
3. Bisect π
ABC :
Place the point of the pair of compasses on
B .
Draw an arc of any size as indicated.
Position the point of the compass on the point where the two lines intersect and draw pencil lines inside the angle.
Position the point of the compass on the other point of intersection and draw a line inside the angle, so that the two lines intersect.
Connect
$\stackrel{\u02c6}{B}$ (angle
B ) with the point where your pencil lines intersect.
$\stackrel{\u02c6}{B}$1 will have the same size as
$\stackrel{\u02c6}{B}$2 . Measure both angles. Are they equal?
4. Try the following:
Draw
D$\stackrel{\u02c6}{E}$F = 125°.
Bisect
D$\stackrel{\u02c6}{E}$F .
Activity 3
To construct a line perpendicular from a given point to another line
[lo 3.4, 3.5, 4.7]
1. Construct
AD$$BC .
Place your compass point on
A (you want to draw a perpendicular line on
BC from A.)
Make an arc on
BC .
Place the point of your compasses on the one point of intersection between the arc and
BC. Draw a line below
BC. Place the point of your compasses on the other point of intersection between the arc and
BC and draw another line below
BC , so that the two lines intersect.
Connect
A with the intersection of the two drawn lines.
Mark the point of intersection
D .
AD will be perpendicular to
BC . (
AD$$BC .)
Questions & Answers
anyone know any internet site where one can find nanotechnology papers?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?