8918823
Description
Flashcards by Liffey Farrell, updated more than 1 year ago
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Created by Liffey Farrell
almost 7 years ago
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| Question | Answer |
| Perpendicular bisector of a line segment: The locus of a point which moves so that it is an equal distance from two points, A and B, is the perpendicular bisector of the line joining A and B Perpendicular mean at right angles to Bisector means cuts in half | |
| To construct this locus, you do the following: | Draw the line segment XY |
| Put your compass on X and set it to be over half way along the line. Draw an arc | Without adjusting your compass put it on Y and draw anther arc |
| Label these points A and B | Draw a straight line through A and B |
| The point M where the lines cross is the midpoint of XY. And AB is perpendicular to XY | Bisecting an angle |
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V is the vertex of the angle we want to bisect
Image:
Angle Bisect (image/gif)
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Place your compass on V and draw an arc that crosses both sides of the angle
Image:
Angle Bisect 1 (image/gif)
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Label the crossing points A and B
Image:
Angle Bisect 2 (image/gif)
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Place your compass on A and draw an arc between the two sides of the angle
Image:
Angle Bisect 3 (image/gif)
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Without adjusting your compass place it n B and draw another arc that cuts off the one you just drew. Label the point where they cross C
Image:
Angle Bisect 4 (image/gif)
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Draw a straight line through V and C
Image:
Angle Bisect 5 (image/gif)
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The line VC bisects the angle. Angles AVC and BVC are equal
Image:
Angle Bisect 6 (image/gif)
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REMEMBER: In an exam, do not rub out construction lines |
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