Geometry
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?