Question

Using the following diagram below: Find the length of TT. Round youranswer to the nearest tenth.Note: The nearest tenth means you will round to one decimal place. YouMust Show Your Work.IPoints T, T', and 7" are shown.T"T'T

Answer 1

Let point T the origin

so

The coordinates of point T are (0,0)

therefore

The coordinates of point T' are (-2,1)

Find out the distance TT'

Applying the formula to calculate the distance between two points

`d=√((y_2-y_1)^2+(x_2-x_1)^2)`

substitute given coordinates

`\begin{gathered} TT^(\prime)=√((1-0)^2+(-2-0)^2) \\ TT^(\prime)=√(1^2+-2^2) \\ TT^(\prime)=√(5) \\ TT^(\prime)=2.2\text{ units} \end{gathered}`

The answer is TT'=2.2 units