1.  There are different ways to make quadrilaterals that are congruent to Quadrilateral A.

We can reflect Quadrilateral A to get the congruent quadrilateral on the left:

We can translate Quadrilateral A to get the congruent quadrilateral on the left:

We can rotate Quadrilateral A to get the congruent quadrilateral on the left:

We also can make figures that are congruent to Quadrilateral A by using different combinations of reflections, translations, and rotations.   Examine the grid below, and describe as precisely as you can how the congruent quadrilateral on the right was obtained from the quadrilateral on the left, with a combination of reflections, translations, and rotations:

 

2.  A right triangle is drawn on the grid below.  Draw a congruent triangle that is a translation of the right triangle.  Draw a congruent triangle that is a reflection of the right triangle.  Draw a congruent triangle that is a rotation of the right triangle.