Determine whether the following sample may be biased and explain.

john chooses 100 students from a list of students enrolled at his school and surveys these students about their favorite hobby.

a.) the sample may be biased because students have different hobbies.

b.) the sample may be biased because some students do not have a hobby.

c.) the sample is not biased because it is a random sample.

d.) the sample may be biased because the sample is from the incorrect population.

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.