Question

Use words to describe the transformation shown below. Explain how you know. Be as specificas possible. (Think about some of the vocabulary specific to transformations)Enter your answer

Answer 1

Triangle I'J'K' is a translation of 9 units to the left and 8 units up of triangle IJK

Step-by-step explanation:

First, we need to identify the coordinates of the initial figure (triangle IJK) and the coordinates of the transformed figure (triangle I'J'K')

So, the coordinates I, J and K are:

I(2, -2)

J(2, -6)

K(7, -6)

And the coordinates I', J', and K' are:

I'(-7, 6)

J'(-7, 2)

K'(-2, 2)

Now, we can see that the triangle I'J'K' has the same shape and size as the triangle IJK but it is located at different coordinates. It means that I'J'K' is a translation of IJK of 9 units to the left and 8 units up.

So, the translation rule can be applied as:

(x, y) --> (x - 9 , y + 8)

I(2, -2) --> (2 - 9, -2 + 8) = I'(-7, 6)

J(2, -6) --> (2 - 9, -6 + 8) = J'(-7, 2)

K(7, -6) --> (7 - 9, -6 + 8) = K'(-2, 2)