Lesson Worksheet: Linear Transformations in Planes: Scaling Mathematics • 10th Grade
In this worksheet, we will practice finding the matrix that scales a vector by a given scaling factor and the image of the vector under scaling linear transformation.
Q1:
Consider the transformation represented by the matrix
What is the image of the square with vertices , , , and under this transformation?
- AA kite with vertices , and
- BA kite with vertices , and
- CA square with vertices , , , and
- DA square with vertices , , , and
- EA square with vertices , , , and
What geometric transformation does this matrix represent?
- AA stretch in the -direction
- BA stretch in the -direction
- CA rotation about the origin by an angle of
- DA dilation with scale factor 3 and center at the origin
- EA dilation by a factor of 3 with its center at the point
Q2:
Consider the transformation represented by the matrix
What is the image of the square with vertices , , , and under this transformation?
- AA square with vertices , , , and
- BAn arrowhead with vertices , and
- CA kite with vertices , and
- DAn arrowhead with vertices , and
- EA square with vertices , , , and
What geometric transformation does this matrix represent?
- AA dilation with scale factor and center at the origin
- BA dilation with scale factor 3 and center at the origin
- CA stretch in the -direction
- DA stretch in the -direction
- EA rotation about the origin by an angle of