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How to Construct a Right-Angle

Preparation

What you Need

You will need:-

(a) Some Sheets of Plain A4 Paper
(b) A 25cm Ruler
(c) A 0.5mm Clutch Pencil

or
An Ordinary B-grade Pencil
A Block of Draftsman's Sandpaper

(d) A Pair of Good Quality Compasses

You may also want a:-

(e) Protractor

for checking your angles.




Your Drawing Instruments


Method One

Bisection of a Semicircle

(A) Draw a line about 20mm from the long edge of a sheet of paper
(B) Use a compass point to make a small hole in the approximate center of the line ( Point 1 )



(C) Draw a semicircle about Point 1



(D) Without changing the compass span

Place the compass point at Intersection 2 and draw the arc a



(E) Still keeping the set compass span
Place the compass point at Intersection 3 and draw the arc b



(F) Placing your compass point at Point 3 and then Point 4,
draw the intersecting arcs c and d



(G) Join the arcs' intersection 5 to Point 1 with ruler and pencil



The angles AA and AB are both right angles

Method Two

An Angle Within a Semicircle

(A) Draw a line about 20mm from the long edge of a sheet of paper
(B) Use a compass point to make a small hole in the approximate center of the line ( Point 1 )



(C) Draw a semicircle about Point 1



(D) Draw a second line between Point 2 and any position on the semicircle



(E) Connect the Point 3 where the second line touches the semicircle with Point 4,
which is diametrically opposite Point 2




Angle AC is a right angle



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