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Similar Polygons

Similar polygons have the same shape, but not necessarily the same size. Are rectangles with dimensions 8 x 5 and 25 x 40 similar?

Identifying Similar Polygons

         

Are the rectangles with dimensions

\[ 2 \times 5 \text{ and } 12 \times 9 \]

similar?

Quadrilaterals \(ABCD\) and \(EFGH\) satisfy \( AB = 2EF, BC = 2FG, CD =2GH, DA = 2HE \).

Must they be similar?

Are the rectangles with dimensions

\[ 8 \times 5 \text{ and } 25 \times 40 \]

similar?

Are the parallelograms with side lengths

\[ 4 \times 15 \text{ and } 60 \times 16 \]

similar?

Consider parallelograms \( ABCD\) and \( EFGH \). We know that \( AB = 2, BC = 9, EF = 4, FG = 18 \), \( \angle ABC = 40^\circ \) and \( \angle EFG = 140^ \circ \).

Are these parallelograms similar?

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