Suppose you need to bisect angle PQR using only a pair of compasses and a straight edge:
If you want to get a sprite to go up, set the direction angle to o degrees and then walk 10 or 20 steps and to go down set it to 180 degrees and walk some more steps.
It is the challenge of constructing a square with the same area as a given circle by using only a finite number of steps with compass and straightedge. As pi (π) is a transcendental, rather than an algebraic irrational number, it cannot be done.
Take the triangle and label the vertices ABC so that BC is the shortest side.Take your pairs of compasses and set them to the length BC.With the compass point on B draw a small arc to intersect AB and label this point DWith the compass point on C draw a small arc to intersect AC and label this point ENow construct the angle bisectors of BCD and CBE - where these two lines meet is the orthocentre:To construct an angle bisector:Set your compasses at some length.Mark a small arc on each arm of the angle; label the two points X and YWith your compasses set to any length greater than half XY, on one point (say X) draw a small arc between the arms of the angle approximately in the middle - this will be the other side of the point to the vertexWith your compasses on the other point (say Y) draw a small arc to intersect the arc drawn in the last step.Draw in the line between the two vertex and the intersection of the arcs - this is the angle bisector.Note:In constructing the angle bisectors, the first two steps are done in creating points D and E; the points X and Y are:for angle BCD: B and D as you are bisecting the angle at vertex Cfor angle CBE: C and E as you are bisecting the angle at vertex BYou can use your compasses set to the length BC for all the arcs to be drawn.As you have used the length BC to create the points D and E, the triangles created by BCD and CBE are isosceles - in BCD the equal side are BC and BD, in CBE the equal sides are CB and CE. Thus when you draw in the angle bisectors of BCD and CBE they are perpendicular to the base of their respective triangles and thus the heights of those triangles, which is also the height of the original triangle (as point A is on an extension of BD and CE respectively).If there is no one shortest side, either (or both) of points D and/or E will coincide with point A.
The short answer is: because that is what a kite is. Long answer (although some minor steps have been skipped): Consider a kite, ABCD, where AB = DA and BC = CD Draw the diagonal AC. Then triangles ABC and ACD are congruent (SSS). So angle BAC = angle DAC. Now draw diagonal BD which intersects AC at E. Then triangles ABE and ADE are congruent (SAS) So angle AEB = angle AED. But these angles are supplementary. Therefore they must be right angles.
The answer is 10 steps.
an angle is cpied by a compass.
an angle is cpied by a compass.
what are steps in constructing the cpi
The first step when constructing a briefing is to collect material.
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The process can't reasonably be described with text only and no sketches. It consists of the following two major steps. They're both easy with a compass and a straight-edge: 1). Draw a straight line segment, then construct its perpendicular bisector. 2). Construct the angle bisector of any one of the four right angles formed in step-1.
steps followed during the construct briefing
Yes.The steps are the same.
2
The seven major steps to constructing a briefing are:Collect materialKnow the subject thoroughlyIsolate the key pointsArrange the key points in logical orderProvide supporting data to substantiate validity of key pointsSelect visual aidsEstablish the wordingRehearse before a knowledgeable person who can critique the briefing
The seven major steps to constructing a briefing are:Collect materialKnow the subject thoroughlyIsolate the key pointsArrange the key points in logical orderProvide supporting data to substantiate validity of key pointsSelect visual aidsEstablish the wordingRehearse before a knowledgeable person who can critique the briefing
The seven major steps to constructing a briefing are:Collect materialKnow the subject thoroughlyIsolate the key pointsArrange the key points in logical orderProvide supporting data to substantiate validity of key pointsSelect visual aidsEstablish the wordingRehearse before a knowledgeable person who can critique the briefing