Quadrilateral H’ is the image of quadrilateral H after a sequence of transformations. If quadrilateral H’ is congruent to quadri
lateral H, which transformations could have been used ? A dilation by a scale factor of 2 followed by a reflection
A rotation followed by a dilation by a scale factor of 1/2
A reflection,a translation of 1 unit left, and then a dilation by a scale factor of 3
A translation of 6 units down a rotation and then a reflection
Answer: A translation of 6 units down a rotation and then a reflection
Step-by-step explanation:
The rigid transformations preserves the side length and angle measure of a figure such that figure doesn't shrink or get enlarger. It creates congruent figures.
There are four rigid transformations such as :
a) reflections, b) rotations, c) translations and d) glide reflection.
A dilation changes the size of the image when the scale factor is not equal to 1. It does not creates congruent images.
Hence, if quadrilateral H’ is congruent to quadrilateral H, then the transformation must be :
A translation of 6 units down a rotation and then a reflection.