Practice Geometric Transformation in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A function that maps every point of a geometric figure to a new position, changing its location, orientation, or size.
Moving, rotating, flipping, or stretching a shape to produce a new image of that shape.
Example 1
easyName and describe the four basic geometric transformations.
Example 2
mediumPoint P(3, -1) is reflected over the y-axis, then translated by (2, 5). Find the final image.
Example 3
easyWhich geometric transformations are isometries (preserve distances)?
Example 4
hardShow that a 180° rotation about the origin is equivalent to the transformation (x,y) \to (-x,-y). Verify with the point (3, 4).