Question

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.

Answer 1

Answer: 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.

Answer 2

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 PRâ†â†’ . 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 â 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 â SPT . 9. Use the straightedge to draw QSÂŻÂŻÂŻÂŻÂŻ and QTÂŻÂŻÂŻÂŻÂŻ.