Question

Which of polygons B,C,D,E and F Are Similar to similar to polygon A? Explain your reasoning

Answer 1

If two figures are similar then:

-The corresponding angles are equal

-The ratios between the corresponding sides follow the same proportion.

To determine which figures are equal to figure A, considering that there is no information regarding the angles, we have to compare the ratios between the corresponding sides.

Figure A vs figure B

`(PQ)/(WT)=(TU)/(QR)=(RS)/(UV)=(PS)/(WV)`
`(PQ)/(WT)=\frac{2\sqrt[]{2}}{4\sqrt[]{2}}=(1)/(2)`
`(TU)/(QR)=(2)/(4)=(1)/(2)`