Posted by **Melania** on Sunday, May 19, 2013 at 1:21am.

I'm stuck!! Can someone please help me with this problem??

A triangle has vertices (1, 4), (1, 1), and (-3, 1). The triangle is dilated by a scale factor of 2, then translated 5 units up, and then rotated 90 degrees counterclockwise about the origin. What are the vertices of the image of the triangle?

- Algebra -
**Steve**, Sunday, May 19, 2013 at 5:52am
dilate by 2: (x,y) -> (2x,2y)

up 5: (x,y) -> (x,y+5)

rotate: (x,y) -> (-y,x)

combining them,

(x,y) -> (2x,2y) -> (2x,2y+5) -> (-(2y+5),2x)

so,

(1,4) -> (-13,2)

and so on for the other points

## Answer this Question

## Related Questions

- Algebra - I need help with two math problems. 1. A triangle has vertices (1, 4...
- Matrices - A triangle has vertices (1, 4), (1, 1), and (−3, 1). The ...
- math - A triangle has vertices with coordinates (2, 0), (3, -1), and (-2, -5). ...
- math - A triangle has vertices with coordinates (2, 0), (3, -1), and (-2, -5). ...
- MATH - A triangle with the vertices A(–3, 4), B(3, 1), and C(–1, –5) is dilated ...
- math - Triangle XYZ has vertices X(-5,3), and Z(7,-6). Find the coordinates of ...
- geometry - I realy need help please!!!! 1-Describe the translation in words: (x...
- Hard Geometry Problem - Hi guys. I need a lot of help on this. "Equilateral ...
- Math - A triangle has vertices at S(1, 1), T(2, -3) and U(4, 0). The triangle is...
- Kitondo boys - A triangle has vertices X(2,2) ,Y(4,2)and Z(3,4).The triangle is ...

More Related Questions