Math Problem Statement

the coords for point P are (0,0)

Solution

Great! Since the point PP is at the origin (0,0)(0, 0), the transformation for a 90° clockwise rotation simplifies.

For any point (x,y)(x, y), the rotation formula around the origin is: (x,y)=(y,x)(x', y') = (y, -x)

Let's apply this to each vertex of the triangle ABC\triangle A'B'C'.

Step-by-Step Transformation:

  • Vertex AA': Suppose AA' has coordinates (xA,yA)(x_{A'}, y_{A'}). A(xA,yA)=(yA,xA)A''(x_{A''}, y_{A''}) = (y_{A'}, -x_{A'})

  • Vertex BB': Suppose BB' has coordinates (xB,yB)(x_{B'}, y_{B'}). B(xB,yB)=(yB,xB)B''(x_{B''}, y_{B''}) = (y_{B'}, -x_{B'})

  • Vertex CC': Suppose CC' has coordinates (xC,yC)(x_{C'}, y_{C'}). C(xC,yC)=(yC,xC)C''(x_{C''}, y_{C''}) = (y_{C'}, -x_{C'})

Applying this to the Image:

If you can provide the coordinates for the vertices AA', BB', and CC' from the image, I can calculate the new coordinates for the rotated triangle.

Would you like to extract the coordinates from the image, or do you need help with that? Alternatively, if you can provide those coordinates directly, I'll compute the new positions for the vertices.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Rotation
Coordinate Geometry

Formulas

Rotation formula for 90° clockwise rotation around the origin

Theorems

-

Suitable Grade Level

Grades 9-12