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26. Figure B is the image of Figure A.
after a dilation with center (0,0) and a
reflection across the y-axis. What is the
scale factor of the dilation?

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The scale factor of dilation is $$\LARGE \frac{1}{4}$$.

What is scale factor?

When describing an enlargement you must state by how much the shape has been enlarged or reduced.

Area of triangle B =$$\frac{1}{2} * b *h$$

= 0.5 x 2 x 3

= 3 units

Area of triangle A =$$\frac{1}{2} * b *h$$

= 0.5 x 4 x 6

= 12 units

Scale factor =$$\frac{Area of \; triangle B}{Area of\; triangle A}$$

=$$\frac{3}{12}$$

= $$\frac{1}{4}$$

Hence, the scale factor of dilation is $$\LARGE \frac{1}{4}$$.