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 just don't feel confident...
I will post graph and answers once I open the question.

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 just don't feel confident...
I will post graph and answers once I open the question.

yoongilife · Answer

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.