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| Summary |
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 Construction of an angle equal to a given angle. |
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Bisecting an angle |
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To construct angles 60o, 120o and 30o. |
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To construct angles 90o, 45o and 135o. |
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To construct angles 75o and 105o. |
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Drawing the perpendicular bisector of line segment AB. |
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Constructing a perpendicular to a line from a point outside it. |
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To construct a perpendicular to a line at a point on it. |
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To construct a line parallel to a given line through a given point. |
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Reflection of a point on a line. |
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Construction of triangles given |
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| (a) Two angles and a side |
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| (b) three sides |
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| (c) two sides and the included angle |
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| (d) hypotenuse and a side |
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Construction of a triangle when two sides and the angle opposite to one of them are given. |
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Construction of an isosceles triangle given the altitude to the base and the vertical angle. |
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Construction of a right triangle when the hypotenuse and one acute angle are given. |
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To construct a triangle given the base, the sum of the other two sides and one base angle. |
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To construct a triangle given the base, the difference of the other two sides and one base angle. |
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To construct the triangle, given the perimeter and the base angles. |
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