Explain: A _________________________ is a type of transformation in which you _____________ to move from the pre-image to the image to show congruence. This point started in the ______ quadrant and ended in the _______ quadrant.

A rigid motion is a type of transformation in which you preserve size and shape to move from the pre-image to the image and show congruence. This point started in the first quadrant and ended in the fourth quadrant.

Translations, Reflections, Rotations, Dilations

A translation is a type of transformation in which you move an object without changing its shape or size. This involves sliding the object in a certain direction.

A reflection is a type of transformation in which you flip an object across a line of reflection. This creates a mirror image of the object.

A rotation is a type of transformation in which you turn an object around a fixed point called the center of rotation. This involves rotating the object by a certain angle.

A dilation is a type of transformation in which you resize an object by either enlarging or shrinking it. This is done by multiplying or dividing its coordinates by a scale factor.

Regarding the quadrant mention, it is important to note that translations and dilations might move an object from one quadrant to another, while reflections and rotations can preserve or change the quadrant location of an object, depending on the line of reflection or the angle of rotation.