Subjects geometry

Quadrilateral Properties F2Ddd0

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1. The problem involves understanding the properties of four quadrilaterals: rhombus, parallelogram, rectangle, and square. 2. We analyze each figure based on four properties: equal sides, all angles, diagonals, perimeter, and area. 3. **Rhombus:** - Has all sides equal. - Angles are not necessarily 90 degrees. - Diagonals bisect each other at right angles but are not equal. - Perimeter formula: $P = 4s$ where $s$ is the side length. - Area formula: $A = \frac{1}{2} d_1 d_2$ where $d_1$ and $d_2$ are diagonals. 4. **Parallelogram:** - Opposite sides are equal, but not all sides. - Opposite angles are equal, not necessarily 90 degrees. - Diagonals bisect each other but are not equal. - Perimeter formula: $P = 2(a + b)$ where $a$ and $b$ are adjacent sides. - Area formula: $A = base \times height$. 5. **Rectangle:** - Opposite sides are equal. - All angles are 90 degrees. - Diagonals are equal and bisect each other. - Perimeter formula: $P = 2(l + w)$ where $l$ is length and $w$ is width. - Area formula: $A = l \times w$. 6. **Square:** - All sides are equal. - All angles are 90 degrees. - Diagonals are equal, bisect each other at right angles. - Perimeter formula: $P = 4s$. - Area formula: $A = s^2$. This summary helps fill the table by matching each property to the figure.