Constructing a Square and a Rectangle

A square is a quadrilateral with congruent side lengths where all interior angles measure |90^\circ.|

1. Using a ruler, draw a line segment corresponding to the length of one side of the square.

2. 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.

3. Using the ruler, mark a point on this line that corresponds to the length of the side of the square.

4. Repeat step 2, but at the other endpoint of the line segment drawn in step 1.

5. Repeat step 3 on the line segment drawn in step 4.

6. Using the ruler, connect the two marks made in steps 3 and 5 to form the square.

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Follow these steps to draw a square whose sides measure |5\ \text{cm}.|

Using a ruler, draw a line segment corresponding to the length of one side of the square |(5\ \text{cm}).|	Place the set square at one end of the line segment and draw a perpendicular line that exceeds |5\ \text{cm}.|
Using the ruler, mark a point on this line that corresponds to |5\ \text{cm}.|	Place the set square at the other endpoint of the line segment drawn in step 2 and draw a perpendicular line longer than |5\ \text{cm}.|
With the ruler, mark a point on this line segment that corresponds to |5\ \text{cm}.|	Next, use the ruler to connect the two points made in steps 3 and 5.

1. Use a ruler to draw a line segment that is equal in length to one side of the square.

2. Open the compass to the same size as the line segment. Keep the same compass opening throughout the procedure.

3. Place the compass anchor (sharp point) at one end of the line segment and draw an arc.

4. Place the compass anchor on the other end of the line segment and draw another arc.

5. 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.

6. Using the ruler, trace a line to join these two meeting points and complete the square.

​Follow these steps to draw a square with sides measuring |5\ \text{cm}.|

Using a ruler, draw a line segment that is equal in length to one side of the square |(5\ \text{cm}).|	Open the compass to the same size as the line segment |(5\ \text{cm}).| Keep the same compass opening throughout the procedure.
Place the compass anchor (sharp point) at one end of the line segment and draw an arc.	Place the compass anchor at the other end of the line segment and draw another arc.
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.	Using a ruler, trace a line to join these two meeting points and complete the square.

A rectangle is a quadrilateral whose opposite sides are parallel and have the same measurement. Also, all of its interior angles measure |90^\circ.|

1. Use a ruler to draw a line segment corresponding to the same measurement as the longest side of the rectangle (length).

2. 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.

3. Using the ruler, mark a point on the perpendicular line drawn in step 2 that corresponds to the width of the rectangle.

4. Repeat step 2 at the other end of the initial line segment.

5. Using the ruler, mark a point on the perpendicular line drawn in step 4 that corresponds to the width of the rectangle.

6. Using the ruler, draw a line connecting the two points on the perpendicular lines to complete the rectangle.

​Use the following steps to draw a rectangle with a length of |7\ \text{cm}| and a width of |4\ \text{cm}.|

With a ruler, draw a line segment corresponding to the same measurement as the longest side of the rectangle |(7\ \text{cm}).|	Place the set square at one end of the line segment and draw a perpendicular line that exceeds |4\ \text{cm}.|
Using the ruler, mark a point on the perpendicular line that corresponds to the width of |4\ \text{cm}.|	Place the set square at the other end of the initial line segment and draw a perpendicular line that exceeds |4\ \text{cm}.|
Using the ruler, mark the location on the perpendicular line that corresponds to the width of |4\ \text{cm}.|	Using the ruler, connect the two points on the perpendicular lines made in steps 3 and 5.

1. With a ruler, draw a line segment with the same measurement as the length of the rectangle.

2. Open the compass so that it corresponds to the width of the rectangle. Maintain this compass opening throughout the process.

3. Place the compass anchor (sharp point) at one end of the initial line segment and draw an arc.

4. Place the compass anchor on the other end of the initial segment and draw an arc of a circle.

5. Using the set square, draw two perpendicular lines joining both ends of the initial line segment to each of the arcs above them.

6. Using the ruler, draw a line to connect the two meeting points and complete the rectangle.

Follow these steps to draw a rectangle with a length of |7\ \text{cm}| and a width of |4\ \text{cm}.|

With a ruler, draw a line segment with the same measurement as the longest side of the rectangle |(7\ \text{cm}).|	Open the compass so that it corresponds to the width of the rectangle |(4\ \text{cm})|. Maintain this compass opening throughout the process.
Place the compass anchor at one end of the initial line segment and draw an arc.	Place the compass anchor at the other end of the initial line segment and draw an arc.
Using the set square, draw two perpendicular lines joining both ends of the initial line segment with each of the arcs above them. ​	Using the ruler, draw a line to connect the two meeting points.