Question

2. Given LMN with vertices L(0, 0), M(3, 4), and N(4, 1).a. Rotate LMN 90° counterclockwise to create LMN.b. What are the coordinates of the vertices of LMN?c. Reflect LMN across the y-axis to create LMN.d. What are the coordinates of the vertices of LMN?e. What is the single transformation rule that takes LMN ontoLMN?f. Describe the transformation from LMN onto LMN.

Answer 1

The coordinates of the new triangle L'M'N' is (0,0) , (4,-3) , (1,-4)

Here, we want to find the coordinates of the triangle after rotating 90 degrees counterclockwise

When we rotate a point (x,y) 90 degrees counterclockwise, we get a new point with the coordinates (y , -x)

Thus,

L becomes L' = (0,0)

M becomes M' = (4,-3)

N becomes N' (1, -4)