In 2013, when she was a high school senior, idonna scored 670 on the mathematics part of the sat.5 the distribution of sat math scores in 2013 was normal with mean 514 and standard deviation 118. jonathan took the act and scored 26 on the mathematics portion. act math scores for 2013 were normally distributed with mean 20.9 and standard deviation 5.3. a: find the standardized scores for both students. b. assuming that both tests measure the same kind of ability, who had the higher score?

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.