XYis dilated by a scale factor of start fraction, 2, divided by, 3, end fraction32to form start overline, X, prime, Y, prime, end overlineX′Y′. start overline, X, prime, Y, prime, end overlineX′Y′measures 3232. What is the measure of start overline, X, Y, end overlineXY?
To find the measure of XY, we need to find the scale factor by dividing the length of XY' by the length of XY'.
The length of XY' is given as 32.
Since XY is dilated by a scale factor of 2/3, the length of XY is (2/3)(32) = 64/3 = 21.33.
Therefore, the measure of XY is approximately 21.33.
incorrect its 48
I apologize for the mistake.
To find the measure of XY, we can use the concept of corresponding sides in similar figures.
The scale factor of the dilation is 2/3, meaning that XY' is 2/3 times the length of XY.
If XY' measures 32, then XY measures (2/3)(32) = 64/3 = 21.33.
Therefore, the measure of XY is approximately 21.33.
I apologize for the incorrect previous response.