Practice Understanding Rigid Transformations
and Their Properties
Study how the Example shows ways to analyze properties of a figure and its
image after a transformation. Then solve problems 1-4.
Example
Figure Q is a transformation of figure P. Compare
the properties of the figures. Tell what is the same
and what is different about figure P and figure Q.
Identify the transformation.
Same: The figures have the same shape and size. Parallel sides
in figure P correspond to parallel sides in figure Q. The lengths
of corresponding sides are the same, and the measures of
corresponding angles are the same.
Different: Figure Q is in a different location than figure Pand
facing a different direction. Figure Q is a mirror image of figure P.
The transformation is a reflection.
1 Figure A was transformed to make figures B, C, and D.
A
a. Which figure is a translation of figure A?
Draw an arrow to show the direction of the translation.
b. Which figure is a reflection of figure A?
Draw the line of reflection.
c. Which figure is a rotation of figure A?
Is the center of rotation inside, on, or outside the figure?
XZ
Q
P