Rectangles, Rhombi, and Squares Directions: Solve for \( x \) using what you know about the special parallelograms. Then drag the answer under the problem. [A] \( x=18 \) [D] \( x=6 \)
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Mind Expander
Did you know that rectangles, rhombi, and squares are all types of parallelograms but with some unique traits? For instance, all squares are rhombi and rectangles, but not all rhombi or rectangles are squares. Squares have equal sides and right angles, making them very special! This geometric family tree keeps the relationships clear and helps us understand properties like side lengths or diagonals that can lead us to solve for \( x \). In the real world, these shapes often pop up in architecture and design! Think about how much easier it is to design a room using rectangles or to create a logo with a rhombus. Knowing how these shapes behave can help with everything from making sure your new desk fits in the corner just right to crafting the perfect tile pattern for your kitchen backsplash. So, whenever you encounter these shapes, remember their relationships and applications!