Question

Quadrilateral ABCD is translated 7 units down and 2 units to the rightThe Lenght of side AB of the original quadrilateral is *blank* units. After the translation, the length of side AB will *blank*The choices for the first blank is 2, 3, 3.5. and 4The choices of the second blank are increase, decrease, remain the same.

Answer 1

The length of side AB is equal to 3.

`AB=3`

After the translation, the length of the side AB will remain the same.

Step-by-step explanation:

To determine the length of the side AB, Let us first locate the coordinates of A and B on the graph;

`\begin{gathered} A=(-6,2) \\ B=(-6,5) \end{gathered}`

The length AB can be calculated using the formula for the distance between two points.

`AB=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

Substituting the values of the coordinates;

`\begin{gathered} AB=\sqrt[]{(-6-(-6))^2+(5-2)^2} \\ AB=\sqrt[]{(-6+6)^2+(5-2)^2} \\ AB=\sqrt[]{(0)^2+(3)^2} \\ AB=\sqrt[]{0^{}+9} \\ AB=\sqrt[]{9} \\ AB=3 \end{gathered}`

Therefore, the length of side AB is equal to 3.

`AB=3`

After the translation, the length of the side AB will remain the same.

Because translation does not affect the size of an image, it only changes its position.