Question

TU is dilated by a scale factor of 22 to form start overline, T, prime, U, prime, end overline T ′ U ′ . start overline, T, U, end overline TU measures 3535. What is the measure of start overline, T, prime, U, prime, end overline T ′ U ′ ?

Answer 1

To find the length of T'U' after dilation, multiply the original length of TU, which is 3535 units, by the scale factor of 22. The resulting length of T'U' is 77770 units.

Step-by-step explanation:

The student asked how to find the measure of line segment T'U' after a dilation with a scale factor of 22 when the original line segment TU measures 3535 units.

To solve this problem, you would apply the scale factor to the original length:

Original length of TU = 3535 units

Scale factor = 22

Length of T'U' = Original length × Scale factor

Length of T'U' = 3535 × 22

Length of T'U' = 77770 units

Therefore, the length of the dilated line segment T'U' is 77770 units.