Natalie just invited 100100100 guests to a party in her small house. the base of her house is a rectangle with dimensions 8\text{ m}8 m8, start text, space, m, end text by 16\text{ m}16 m16, start text, space, m, end text. it's a good thing she didn't invite the fire marshal to the party! move points to create an outline of natalie's house on the grid below.

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.