Constructing a quadrilateral requires the use of geometry tools such as a ruler, a set square, a protractor, and a compass. The method used to construct a quadrilateral will differ depending on the type of quadrilateral that must be drawn.
A square is a quadrilateral with congruent side lengths where all interior angles measure |90^\circ.|
Follow these steps to draw a square using a set square and a ruler.
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Using a ruler, draw a line segment corresponding to the length of one side of the square.
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Place the set square at one end of the line segment and draw a perpendicular line that is longer than the side of the square.
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Using the ruler, mark a point on this line that corresponds to the length of the side of the square.
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Repeat step 2, but at the other endpoint of the line segment drawn in step 1.
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Repeat step 3 on the line segment drawn in step 4.
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Using the ruler, connect the two marks made in steps 3 and 5 to form the square.
Here is an example of the procedure with illustrations.
Follow these steps to draw a square whose sides measure |5\ \text{cm}.|
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Follow these steps to draw a square using the compass, set square, and ruler.
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Use a ruler to draw a line segment that is equal in length to one side of the square.
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Open the compass to the same size as the line segment. Keep the same compass opening throughout the procedure.
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Place the compass anchor (sharp point) at one end of the line segment and draw an arc.
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Place the compass anchor on the other end of the line segment and draw another arc.
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Using the set square, connect one end of the line segment to the arc above it. Repeat at the other end of the line segment.
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Using the ruler, trace a line to join these two meeting points and complete the square.
Here is an example of the procedure with illustrations.
Follow these steps to draw a square with sides measuring |5\ \text{cm}.|
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A rectangle is a quadrilateral whose opposite sides are parallel and have the same measurement. Also, all of its interior angles measure |90^\circ.|
Follow these steps to draw a rectangle using a set square and a ruler.
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Use a ruler to draw a line segment corresponding to the same measurement as the longest side of the rectangle (length).
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At one end of the line segment, use the set square to draw a perpendicular line that is larger than the width of the rectangle.
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Using the ruler, mark a point on the perpendicular line drawn in step 2 that corresponds to the width of the rectangle.
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Repeat step 2 at the other end of the initial line segment.
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Using the ruler, mark a point on the perpendicular line drawn in step 4 that corresponds to the width of the rectangle.
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Using the ruler, draw a line connecting the two points on the perpendicular lines to complete the rectangle.
Here is an example of the procedure with illustrations.
Use the following steps to draw a rectangle with a length of |7\ \text{cm}| and a width of |4\ \text{cm}.|
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Follow these steps to draw a rectangle using the compass, set square, and ruler.
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With a ruler, draw a line segment with the same measurement as the length of the rectangle.
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Open the compass so that it corresponds to the width of the rectangle. Maintain this compass opening throughout the process.
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Place the compass anchor (sharp point) at one end of the initial line segment and draw an arc.
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Place the compass anchor on the other end of the initial segment and draw an arc of a circle.
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Using the set square, draw two perpendicular lines joining both ends of the initial line segment to each of the arcs above them.
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Using the ruler, draw a line to connect the two meeting points and complete the rectangle.
Here is an example of the procedure with illustrations.
Follow these steps to draw a rectangle with a length of |7\ \text{cm}| and a width of |4\ \text{cm}.|
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