Question

the table describes two dilations with the center of dilation at the origin. which rule describes each dilation? move the correct answer to each box in the table. not all answers will be used. a triangle is dilated by a scale factor of 1/2. a square is dilated by a scale factor of 2.

Explanation:

Step1: Recall dilation rule

For a dilation with center at the origin and scale - factor $k$, the rule for a point $(x,y)$ is $(kx,ky)$.

Step2: For triangle with scale factor $\frac{1}{2}$

The rule is $(x,y)\to(\frac{1}{2}x,\frac{1}{2}y)$.

Step3: For square with scale factor 2

The rule is $(x,y)\to(2x,2y)$.

Answer:

A triangle is dilated by a scale factor of $\frac{1}{2}$: $(x,y)\to(\frac{1}{2}x,\frac{1}{2}y)$
A square is dilated by a scale factor of 2: $(x,y)\to(2x,2y)$