7.02 Similarity transformations
Interactive practice questions
A point has coordinates $\left(-20,5\right)$(−20,5).
Determine the resulting coordinates after each of the following sequences of transformations (each sequence is applied separately):
Dilate by a scale factor of $1.4$1.4.
$\left(\editable{},\editable{}\right)$(,)
Reflect across the $x$x-axis and then dilate by a scale factor of $3$3.
$\left(\editable{},\editable{}\right)$(,)
Rotate $270^\circ$270° counterclockwise about the origin and then dilate by a scale factor of $\frac{1}{5}$15.
$\left(\editable{},\editable{}\right)$(,)
Triangle $QRS$QRS undergoes the following transformations.
- A dilation from the origin with a scale factor of $3$3.
-
Reflection across the $x$x-axis.
Identify the image of each coordinate in triangle $BCD$BCD after the following transformations:
- Rotation $90^\circ$90° counterclockwise.
-
A dilation from the origin with a scale factor of $\frac{4}{5}$45.
Rectangle $ABCD$ABCD undergoes the following transformations to form rectangle $A'B'C'D'$A′B′C′D′.
- A translation of $2$2 units to the right and $3$3 units downwards
- Then, a clockwise rotation of $90^\circ$90° around the origin