Answered

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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?

26 Figure B Is The Image Of Figure A After A Dilation With Center 00 And A Reflection Across The Yaxis What Is The Scale Factor Of The Dilation class=

Sagot :

The scale factor of dilation is [tex]\LARGE \frac{1}{4}[/tex].

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 =[tex]\frac{1}{2} * b *h[/tex]

                                = 0.5 x 2 x 3

                               = 3 units

Area of triangle A =[tex]\frac{1}{2} * b *h[/tex]

                                = 0.5 x 4 x 6

                               = 12 units

Scale factor =[tex]\frac{Area of \; triangle B}{Area of\; triangle A}[/tex]

                    =[tex]\frac{3}{12}[/tex]

                    = [tex]\frac{1}{4}[/tex]

Hence, the scale factor of dilation is [tex]\LARGE \frac{1}{4}[/tex].

Learn more about scale factor here:

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