Geometrical Constructions

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Presentation transcript:

Geometrical Constructions Perpendicular Bisector Hexagon Parallel Line 1 Equilateral Triangle Parallel Line 2 Construct 90° Median Construct 45° Altitude Construct 30° View All Exit

Construct Angle of 60° Draw line

Construct Angle of 60° Scribe an arc

Construct Angle of 60° Scribe a second arc at same radius as first.

Construct Angle of 60° Draw line connecting points as shown. 60° angle constructed!

Construct a Regular Hexagon Scribe circumscribing circle

Construct a Regular Hexagon Draw line from center.

Construct a Regular Hexagon Scribe arc at same radius as circle.

Construct a Regular Hexagon Scribe a second arc at same radius as circle.

Construct a Regular Hexagon Scribe a third arc at same radius as circle.

Construct a Regular Hexagon Scribe a forth arc at same radius as circle.

Construct a Regular Hexagon Scribe a fifth arc at same radius as circle.

Construct a Regular Hexagon Draw lines connecting points as shown.

Construct a Regular Hexagon Draw lines connecting points as shown.

Construct a Regular Hexagon Draw lines connecting points as shown.

Construct a Regular Hexagon Draw lines connecting points as shown.

Construct a Regular Hexagon Draw lines connecting points as shown.

Construct a Regular Hexagon Draw lines connecting points as shown. Hexagon Completed !

Construct an Equilateral Triangle Scribe circumscribing circle

Construct an Equilateral Triangle Scribe line from center.

Construct an Equilateral Triangle Scribe arc as shown

Construct an Equilateral Triangle Scribe arc as shown

Construct an Equilateral Triangle Scribe arc as shown

Construct an Equilateral Triangle Scribe arc as shown

Construct an Equilateral Triangle Join points as shown

Construct an Equilateral Triangle Join points as shown

Construct an Equilateral Triangle Join points as shown Triangle Complete!

Bisect Angle to Give 90° Draw Line

Bisect Angle to Give 90° Scribe arc.

Bisect Angle to Give 90° Scribe a second arc at the same radius as the first.

Bisect Angle to Give 90° Scribe a third arc at the same radius as the first.

Bisect Angle to Give 90° Scribe an arc at any radius.

Bisect Angle to Give 90° Scribe a second arc at the same radius as previous.

Bisect Angle to Give 90° Draw a line linking points. 90° Constructed!

Bisect 90° to Give 45° First construct 90° angle. Scribe arc as shown.

Bisect 90° to Give 45° Scribe a second arc at the same radius as the first.

Bisect 90° to Give 45° Draw line linking points 45° angle constructed!

Bisect 60° to Give 30° First construct an angle of 60° Scribe an arc as shown.

Bisect 60° to Give 30° First construct 60° angle Scribe an second arc at the same radius as previous.

Bisect 60° to Give 30° Draw a line linking points as shown.

Construct a Perpendicular Bisector Scribe an arc from the endpoint of the line as shown.

Construct a Perpendicular Bisector Scribe a second arc of the same radius from the endpoint of the line as shown.

Construct a Perpendicular Bisector Scribe a third arc of the same radius from the endpoint of the line as shown.

Construct a Perpendicular Bisector Scribe a forth arc of the same radius from the endpoint of the line as shown.

Construct a Perpendicular Bisector Draw a line as shown. Our original line has been divided in half by a perpendicular line!

Construct a Parallel Line (Quick and Nasty) Scribe an arc of radius equal to the desired offset distance, from a point on the line.

Construct a Parallel Line (Quick and Nasty) Scribe an arc of radius equal to the desired offset distance, from a second point on the line.

Construct a Parallel Line (Quick and Nasty) Draw a line tangential to the two arcs drawn. We have constructed a parallel line at a desired distance!

Construct a Parallel Line (More Correct) Construct 2 right angles to a line as shown. Scribe an arc of radius equal to the offset distance so that it intersects the perpendicular line.

Construct a Parallel Line (More Correct) Scribe a second arc of radius equal to the offset distance so that it intersects the second perpendicular line.

Construct a Parallel Line (More Correct) Draw a line connecting the two points. We have constructed a parallel line at a desired distance!

Construct a Median Bisect the desired side of the triangle.

Construct a Median Draw a line from the midpoint to the opposite vertex. Median Constructed!

Construct an Altitude Scribe arcs as shown at the same radius.

Construct an Altitude Construct a perpendicular line through vertex as shown. Set Compass to distance as shown.

Construct an Altitude Scribe an arc as shown at the previously set distance.

Construct an Altitude Draw a line from the vertex, through the point, till it meets the opposite side. Altitude Constructed!