What are the steps for using a compass and straightedge to construct a square? drag and drop the steps in order from start to finish. use a straightedge to draw line a and label a point on the line as point p. without changing the compass width, place the compass point on point s and draw an arc in the interior of ∠spt . use the straightedge to draw qs¯¯¯¯¯ and qt¯¯¯¯¯. construct a line perpendicular to line a through point p. label a point on this line as point r. with the compass open to the desired side length of the square, place the compass point on point p and draw an arc on line a and an arc on pr←→ . label the points of intersection as points s and t. keeping the same compass width, place the compass on point t and draw an arc in the interior of ∠spt to intersect the previously drawn arc. label the point of intersection as point q.

The steps for using a compass and straightedge to construct a square are as follows :-

1. Use a straightedge to draw line a and label a point on the line as point P.

2. Construct a line perpendicular to line a through point P.

3. Label a point on this line as point R.

4. With the compass open to the desired side length of the square, place the compass point on point P and draw an arc on line a and an arc on PR←→.

5. Label the points of intersection as points S and T.

6. Keeping the same compass width, place the compass on point T and draw an arc in the interior of∠SPT to intersect the previously drawn arc.

7. Label the point of intersection as point Q.

8. Without changing the compass width, place the compass point on point S and draw an arc in the interior of∠SPT .

9. Use the straightedge to draw QS ,QT,SR and RT.

Here we have finished with the square RTQS.

13cm

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