Question

HELP PLZ!

Use the figure below to answer the questions.

(a) Describe a sequence of transformations that maps ∆ABC to ∆A’B’C’.

(b) Write an ordered-pair rule for each transformation in the sequence.
1. (x, y) -->
2. (x, y) -->

Answer 1

Solution-

In order to get A'B'C' from ABC we have to do two steps,

they are

1- First we need to rotate the triangle around its own vertex C (-1 , 3)

2- Then moving the triangle 4 units downwards we will get the desired triangle.

After doing the first step the new co-ordinates of A,B,C  will be,

(-2 , 4),(2 , 1) and (-1 , 3)

Then moving the triangle 4 units downward (i.e subtracting from y co-ordinate as we are moving in -ve y direction), the co-ordinates will be,

A' = (-2 , -3)

B' = (2 , -3)

C' = (-1 , -1)