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.

Answer 1

im confused

Answer 2

By which part?

Answer 3

all of it

Answer 4

Similar means same shape, but may be a different size.
Congruent means same shape and size.

Because this is a congruent map to the original map, it must be the same shape of triangle with the same size, so same angles, lengths, etc.

Answer 5

ok

Answer 6

Also, because it specifically states "TQR is congruent to triangle PSL" then the point at T matches up with the point at P, Q to S, and R to L. The order defines this because the word congruent joins them in the sentence.

You just need to describe all that in a paragraph.

Answer 7

oh

Answer 8

For example, "Side PS will be the same length as side TQ, and angle TQR will be th same as angle PSL." Things like that. Gibberish in normal conversation, but very, very precise instructions in math.

Answer 9

oh ok

Answer 10

Becuase it is creating a map, you start with one line for one side,state how it needs to be the same measurement, then describe drawing the other lines so they come out the same at the same angles.

Answer 11

thanks

Answer 12

So, that all coming together now? They basically want you to make an accuate, mathematical descrption of how to draw a second triangle that looks just like the first, but has different letters at the corners.

Answer 13

Don't have too much fun!

Answer 14

okay