Question

△MNO maps to △RST with the transformation (x, y) longrightarrow ( 1 3 x, 1 3 y). Choose True or False for each statement. A. If RT = 3, MO = 9. A True B False B. If RT = 12, MO = 4. A True B False C. If RT = 9, MO = 27. A True B False

Answer 1

The answer is below

Explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the enlargement or reduction in size of a figure. If a figure with point A(x, y) is dilated by a scale factor k, the new point is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.

Since ΔMNO maps to ΔRST with a transformation (x, y) = (3x, 3y), this means that ΔRST is three times the size of ΔMNO, hence all the sides of ΔRST are three times that of ΔMNO.

A. If RT = 3, MO = 9. A True B False B.

This is false because RT = 3 * MO = 3(9) = 27

B. If RT = 12, MO = 4. A True B False

This is true because RT = 3 * MO = 3(4) = 12

C. If RT = 9, MO = 27. A True B False

This is false because RT = 3 * MO = 3(27) = 81