Question

Line segment CD begins at (-1, 2) and ends at (6, 2). The segment is translated 4 units down and 2 units left. What is the length of line segment C'D'? (A.) 2 units (B.) 4 units (C.) 5 units (D.)7 units

Answer 1

Answer:

Option D.

Step-by-step explanation:

It is given that line segment CD begins at (-1, 2) and ends at (6, 2).

The segment is translated 4 units down and 2 units left.

We know that translation is a rigid transformation. It means, after translation the size and shape of figure remains same.

$C'D'=CD$        ... (i)

Using distance formula, the length of CD is

$CD=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$CD=\sqrt{(6-(-1))^2+(2-2)^2}$

$CD=\sqrt{(6+1)^2+(0)^2}$

$CD=\sqrt{49}$

$CD=7$     ... (ii)

Using (i) and (ii), we get

$C'D'=CD=7\text{ units}$

Therefore, the correct option is D.

Answer 2

The answer is B, with a translation the segement size doesn’t change.