Q: for each of the following cases, either explain why the case cannot occur or give an example to show how it can.

b. two negative numbers whose product is in between the two numbers

c. two negative numbers whose product is less than both numbers

b. Any two negative numbers when multiplying gives positive answers which are never between negative numbers. -9*-3=27

c. same logic, positive answer so never less than either negative number.

range is infinite on both x and y axis positive and negative

step-by-step explanation:

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.