Use a straightedge to draw line XY. Then construct line RS so that RS = 2XY
You do it. Can't do it here online. Sheesh. Now, if you want a description of the technique,
Pick a point P
with center at P, draw a circle with radius XY
Pick any point R on the circle
Draw the line PR, extended to intersect the circle at S.
Since PR + RS = XY + XY, RS = 2XY
Rats. Make that
Draw the line RP extended to S.
RP + PS = XY + XY
To construct line RS so that RS = 2XY using a straightedge, you can follow these steps:
1. Start by drawing a straight line and label it as XY.
2. Choose a point P on line XY.
3. With P as the center, draw a circle using any radius greater than half the length of XY. Label the intersection points with the circle as A and B.
4. With A and B as centers, draw arcs of equal length that intersect each other. Label the intersection point as C.
5. Draw a straight line passing through C and label it as RS.
6. Measure the length of XY and double it.
7. Using the obtained length, locate a point D on line RS such that the distance between C and D is equal to the doubled length.
8. Finally, draw line RD, and it will intersect line XY at point S. Label S as the intersection point.
Therefore, line RS is constructed such that RS = 2XY.
To construct line RS so that RS is twice the length of line XY, we will use a compass and ruler.
1. Start by drawing line XY using a straightedge or ruler.
2. Place the needle of your compass at point X and draw an arc that intersects line XY. Label the intersection point as A.
3. Without changing the compass width, place the needle at point A and draw a second arc that intersects the first arc. Label the intersection point as B.
4. Using a ruler, draw a straight line passing through points X and B. This line is line RS.
5. Measure the length of line XY with the ruler and mark the midpoint. Label this point as M.
6. Using a compass, place the needle at point M and open it to the length of XY.
7. With the compass width unchanged, draw arcs on both sides of line XY that intersect at two points. Label these points as P and Q.
8. Using a ruler, draw lines from points R and S passing through points P and Q, respectively, until they intersect with line RS.
Now, line RS is constructed such that RS is twice the length of XY.