Which construction is illustrated above?

The correct option is 1.

Step-by-step explanation:

From the given figure it is easily noticed that the construction is

used to draw a perpendicular line to a given line from a point on the line.

In the given figure we have lines and a red point lies on the line.

First of all the two equidistance arc are drawn on the given line.

Then increase the measurement of the compass and put the compass on first arc and make another arc on the left side, then put compass on second arc. Now draw an arc which intersects the third arc.

Then by joining the given point and the intersection point, we get a line perpendicular to the given line from the point on the line.

Therefore option 1 is correct.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq