The roads connecting a school (S), a library (L), and a playground (P) make a triangle as shown.

Anita has to make the same map using points T, Q, and R which correspond to points P, S, and L so that triangle TQR is congruent to triangle PSL. Explain, using complete sentences, the steps Anita can use to create the map.

Question

The roads connecting a school (S), a library (L), and a playground (P) make a triangle as shown.
 
Anita has to make the same map using points T, Q, and R which correspond to points P, S, and L so that triangle TQR is congruent to triangle PSL. Explain, using complete sentences, the steps Anita can use to create the map.

anonymous · Answer

You cannot make the two triangles congruent; you can make them similar, though.
Anita would have to measure all the angles in triangle PSL and make the same angles in triangle TQR.