An olympic athlete is recovering from knee surgery and she is under a doctor's care. the doctor has the athlete jog 12 minutes a day for five weeks. after that, the athlete will increase the jogging time by five minutes a day, a week at a time. in what number week will the athlete be jogging more than a hour per day? ?

week 12

week 13

week 15

week 17

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.