Asimple dart target has two concentric circles. the larger circle has a radius of 4. the smaller circle has a radius of 2.
the scoring should correspond to the relative difficulty of hitting the inner circle and the outer ring. how many more
points should a player receive for landing a dart in the inner circle, as opposed to the outer ring?
the player should receive 47 times as many points.
the player should receive 2n times as many points.
the player should receive 9 times as many points.
the player should receive 3 times as many points.

the answer is two. hope this !

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.