A remote control car races straight down the street at 26 miles per hour. Two
hours later, a second remote control car races straight down the same street
at 52 miles per hour in pursuit of the first car. From the moment the first car
started, how many hours will it take the second car to catch up to the first?
On what scale is the speed of each car measured?

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

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.