Question 3

State whether the following quadrilaterals are similar or not:

(i) Quadrilateral $ABCD$ with $AB = 2\text{ cm},\; BC = 3\text{ cm},\; CD = 2\text{ cm},\; DA = 3\text{ cm}$ and quadrilateral $EFGH$ with $EF = 4\text{ cm},\; FG = 6\text{ cm},\; GH = 4\text{ cm},\; HE = 6\text{ cm}$.

(ii) Quadrilateral $ABCD$ with $AB = 2\text{ cm},\; BC = 3\text{ cm},\; CD = 4\text{ cm},\; DA = 5\text{ cm}$ and quadrilateral $EFGH$ with $EF = 4\text{ cm},\; FG = 6\text{ cm},\; GH = 8\text{ cm},\; HE = 10\text{ cm}$.

(iii) Quadrilateral $ABCD$ with $AB = 2\text{ cm},\; BC = 2\text{ cm},\; CD = 2\text{ cm},\; DA = 2\text{ cm}$ and quadrilateral $EFGH$ with $EF = 3\text{ cm},\; FG = 3\text{ cm},\; GH = 3\text{ cm},\; HE = 3\text{ cm}$.

(iv) Quadrilateral $ABCD$ with $AB = 2\text{ cm},\; BC = 3\text{ cm},\; CD = 4\text{ cm},\; DA = 5\text{ cm}$ and quadrilateral $EFGH$ with $EF = 3\text{ cm},\; FG = 4\text{ cm},\; GH = 5\text{ cm},\; HE = 6\text{ cm}$.