Transformation and congruence unit test

Answer 1

1. Determine whether the following pairs of figures are congruent or similar.

a) Triangle ABC and triangle DEF with corresponding angles congruent and sides proportional.
b) Rectangle PQRS and rectangle WXYZ with all angles congruent and all sides proportional.
c) Circle O and Circle P with the same radius.

2. Given the following transformation rules, perform the specified transformations on the figure:

a) Reflect triangle ABC over the y-axis.
b) Rotate rectangle PQRS 90 degrees counterclockwise about point P.
c) Translate circle O 2 units to the right and 3 units down.

3. Using the given coordinates, perform the specified transformations:

a) Dilate triangle XYZ by a factor of 2 with respect to the origin.
b) Rotate square UVWX 180 degrees about point U.
c) Reflect point A(-3,4) over the x-axis.