Question

Penny wants to have a regular pattern of triangles painted on the walls of her bedroom. Her friend Bernadette comes up with a plan to replicate the triangles around the origin of a coordinate plane as below. Which of the following orders of transformations would achieve the desired effect P→P′?
I am willing to do the work. I WANT to understand, I just don't feel confident.
I will include the graph and possible answers when I post this question.

Answer 1

Translation (x+3, y+2), reflection across the x axis, reflection across the y axis.


Reflection across the y axis, reflection across the x axis, translation (x+1, y+0).


Reflection across the line y=x, rotation of 90 degrees counter-clockwise about the origin, translation (x+1,y+0).


Translation (x+3, y+2), reflection across the y axis, rotation of 180 degrees about the origin.

Answer 2

Well, shall we start with process of elimination. We can go down each answer one by one...

Answer 3

do you know what translate means?

Answer 4

@ganeshie8 @triciaal @Hero

Answer 5

can you draw the reflection of that arrow across the y axis?

Answer 6

Translate. The figure (shape) must move in the same distance in the same direction via the x-axis and y-axis?

Answer 7

yes

Answer 8

now try drawing the reflection across y axis

Answer 9

Wouldn't a reflection use a mirror line?

Answer 10

yes.
across 'y axis' means that you have to imagine a mirror placed along y axis

Answer 11

So it would look like this?