suppose you used the rule (3x+1,3y-4) to transform the original figure into a new figure. Would the new figure be similar to the original? Explain. ASAP
To determine if the new figure created by the transformation is similar to the original figure, we need to compare their corresponding sides and angles.
In this case, we have used the rule (3x+1, 3y-4) to vertically stretch and translate the original figure.
Vertical Stretch: The factor of 3 in front of the x-coordinate and y-coordinate means that the new figure is vertically stretched by a scale factor of 3 compared to the original figure. This means that the vertical lengths of the sides in the new figure are three times greater than the corresponding sides in the original figure.
Vertical Translation: The +1 and -4 in the rule indicate a vertical translation by 1 unit up and 4 units down, respectively. This shifting does not affect the overall shape and similarity between the figures.
Therefore, when we apply a vertical stretch and a vertical translation, the resulting figure is still similar to the original figure. The shape and angles of the new figure are preserved, but its size is changed due to the vertical stretch.