Question

2. T(-2, -3), U(0, 1), V(2, -3) X(-4, -6), Y(0, 2), Z(4, -6) Each coordinate of ATUV can be multiplied by to give the corresponding coordinate of A The transformation of ATUV to AXYZ is with a scale factor of a Therefore, the triangles are

Answer 1

Answer : The scale factor is 2

Triangle TUV has the following coordinates

T (-2, -3) , U(0, 1), V (2, -3)

It is transformed into triangle XYZ

X(-4, -6), Y(0, 2), Z(4, -6)

The order of pair can be represented as (x, y)

For cordinate T and its corresponding transformation

$\begin{gathered} T(-2,\text{ -3) and X(-4, -6)} \\ \text{Let x 1 = -2, y1 = 3, x2 = -4 and y2 = -6} \\ \text{Scale factor =}\frac{y2}{y1}\text{ or }\frac{x2}{x1} \\ \text{Scale factor = }\frac{-6}{-3}\text{ or }\frac{-4}{-2} \\ \text{Scale factor = }2 \end{gathered}$

The same proccess is applicable to the other coordinates of the triangle and it corresponding sides

The transfolrmation of Triangle TUV to triangle XYZ is a dilation with a scale factor of 2