Question

Complete the vector to fully describe the single transformation which takes shape a to shape b translate shape a by the sector.

Answer 1

The single transformation that maps shape a onto shape b is $\left[\begin{array}{c}-5&-5\end{array}\right]$

How to determine the vector transformation?

From the figure, we have the following highlights

• Both triangles are congruent
• Triangle B is 5 units down from triangle A
• Triangle B is 5 units left of triangle A

The above highlights mean that the triangle A must be translated 5 units left and 5 units down to get triangle B.

This is represented as:

(x,y) -> (x - 5, y - 5)

By vector representation, we have:

$\left[\begin{array}{c}-5&-5\end{array}\right]$

Hence, the single transformation that maps shape a onto shape b is $\left[\begin{array}{c}-5&-5\end{array}\right]$

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