1. A bag contains 8 mint candy canes and 4 fruit flavored candy canes. A candy cane is selected at random from the bag, its color noted and
not replaced. A second candy cane is selected and its flavor is also
noted.
a) Represent this information
using a tree diagram.
b) What is the probability that both candy canes are mint?
c) What is the probability that the candy canes are of different flavors?

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.

step-by-step explanation: