Question

△XYZ maps to △MNO with the transformation (x, y) ---> (5x, 5y).

Answer 1

Answer:

The length of MN is 30.

Step-by-step explanation:

It is given that △XYZ maps to △MNO with the transformation

$(x,y)\rightarrow (5x,5y)$

This rule of transformation represents the dilation with scale factor 5 because the dilation about the origin is defined as

$(x,y)\rightarrow (kx,ky)$

where, k is scale factor.

In dilation, the image and preimage are similar and scale factor is the ratio of corresponding side of image and preimage.

In △XYZ and △MNO,

$k=\frac{MN}{XY}$

$5=\frac{MN}{6}$

Multiply both sides by 6.

$30=MN$

Therefore the length of MN is 30.