is your house after this transformation .is it congruent to my original house
x, y was my original home and x-4 y-2 is green which is my new house
To determine if your new house is congruent to your original house after the transformation, we need to check if the corresponding sides and angles are equal.
If your original house has coordinates (x, y), and your new house has coordinates (x-4, y-2), we can compare the lengths of the sides and the measures of the angles to see if they match.
The side lengths will change due to the transformation, but the corresponding sides should have equal ratios. So, we need to calculate the ratios of the corresponding sides in both houses.
Let's say the length of a side AB in your original house is a, and the corresponding side A'B' in your new house is b. The ratio between these sides would be a/b.
Similarly, if the length of side CD in your original house is c, and the corresponding side C'D' in your new house is d, the ratio between these sides would be c/d.
To determine congruence, we need these ratios to be equal for all corresponding sides of the two houses. If the ratios are equal, then your new house is congruent to your original house after the transformation.