Question

The rule for the dilation of quadrilateral QRST to the image Q'R'S'T' is DO,0. 5(x, y) → (0. 5x, 0. 5y). What are the coordinates of Q', if Q(0, 2)?

Answer 1

The dilation is a transformation in which the size of the preimage is

reduced by 0.5.

• The coordinates of the point Q' following the dilation of the point Q(0, 2) is $\underline{Q' = (0, \, 1)}$

Reasons:

The given rule for the dilation of QRST to the image Q'R'S'T' is presented as follows;

• $D_{O, \, 0.5}$(x, y) = (0.5·x, 0.5·y)

The coordinates of the point Q' following a dilation of the point Q(0, 2) by $D_{O, \, 0.5}$ is therefore;

Q(0, 2) $\underrightarrow{D_{O, \, 0.5}}$ (0.5 × 0, 0.5 × 2) = Q'(0, 1)

• The coordinates of $\underline{Q' = (0, \, 1)}$

Learn more dilation transformation here:

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