Geometric transformation

Original figure: Triangle, vertices A(1, 2), B(3, 3), C(5, 6)

Pan operation: Pan 5 units to the right

• A'(6, 2), B'(8, 3), C'(10, 6)

  
  

• A'(6, 3), B'(8, 3), C'(9, 6)

  
  

• A'(6, 2), B'(8, 2), C'(10, 6)

  
  

• A'(6, 3), B'(6, 3), C'(10, 6)

  
  

Original figure: Triangle, vertices A(1, 2), B(3, 3), C(5, 6)

Flip operation: flip the y axis as the axis of symmetry

• A'(-1, 1), B'(-3, 3), C'(-5, 5)

  
  

• A'(-1, 2), B'(-3, 3), C'(-5, 6)

  
  

• A'(-1, 1), B'(-3, 2), C'(-5, 5)

  
  

• A'(-1, 2), B'(-1, 3), C'(-5, 3)

  
  

Original figure: Triangle, vertices A(1, 2), B(3, 3), C(5, 6)

Rotation operation: Rotate 90 degrees counterclockwise around the origin

• A'(-1, 1), B'(-3, 3), C'(-6, 2)

  
  

• A'(-2, 3), B'(-3, 3), C'(-6, 2)

  
  

• A'(-2, 1), B'(-3, 3), C'(-6, 5)

  
  

• A'(-2, 3), B'(-3, 3), C'(-6, 6)

  
  

Original figure: Triangle, vertices A(1, 2), B(3, 3), C(5, 6)

Reflection operation: Reflect across the line y = x

• A'(2, 1), B'(3, 3), C'(6, 5)

  
  

• A'(2, 1), B'(3, 2), C'(6, 5)

  
  

• A'(2, 1), B'(3, 3), C'(5, 6)

  
  

• A'(1, 2), B'(2, 3), C'(5, 6)

  
  

Original figure: Triangle, vertices A(1, 2), B(3, 3), C(5, 6)

Scaling operation: Scale by a factor of 2 from the origin

• A'(2, 4), B'(6, 6), C'(10, 12)

  
  

• A'(2, 2), B'(6, 3), C'(10, 6)

  
  

• A'(1, 4), B'(3, 6), C'(5, 12)

  
  

• A'(2, 2), B'(3, 3), C'(5, 6)

  
  

Original figure: Triangle, vertices A(1, 2), B(3, 3), C(5, 6)

Translation operation: Translate 3 units up

• A'(1, 5), B'(3, 6), C'(5, 9)

  
  

• A'(1, 2), B'(3, 3), C'(5, 6)

  
  

• A'(1, 4), B'(3, 5), C'(5, 8)

  
  

• A'(1, 3), B'(3, 4), C'(5, 7)

  
  

After rotating the point (3, 4) 90 degrees counterclockwise about the origin, what are the new coordinates of the end?

• (-3, 4)

• (4, 3)

• (-4, 3)

• (-4, -3）

If a rectangle is reflected over the y-axis, how do the x-coordinates of any point on the shape change?

• The x-coordinate remains the same

• The sign of the x-coordinate changes (positive becomes negative or negative becomes positive)

• The x-coordinate increases

• The x-coordinate decreases