When constructing an inscribed square, what step comes after both diameters of the circle have been created?
a. connect every other intersection of an arc and the circle with a segment.
b. connect the intersections of the diameters and the circle with a segment.
c. connect every intersection of an arc and the circle with a segment.
d. connect the midpoint of the radius to the endpoint of the diameter.

When both the diameters of circle have been created

Option B

⇒ Connect the intersections of the diameters and the circle with a segment.

To Do this Constuction ,we have to use following Geometrical Theorems

1. Perpendicular Bisector Theorem

2. Angle in a Semicircle is a Right Triangle.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."