Solving Quadrilaterals

A rhombus is a type of polygon that is a quadrilateral (four sides) with all sides of equal length. Opposite angles are equal, and adjacent angles are supplementary.

The diagonals of a rhombus bisect each other at right angles, meaning they intersect at 90 degrees and each diagonal divides the rhombus into four right triangles.

The area of a rhombus can be calculated using the formula: Area = $$\frac{1}{2} \times d_1 \times d_2$$ , where $$d_1$$ and $$d_2$$ are the lengths of the diagonals.

In a rectangle, opposite sides are equal in length and all angles are right angles (90 degrees).

The sum of the interior angles of a quadrilateral is 360 degrees.

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (add up to 180 degrees).

The sum of the interior angles in a triangle is always 180 degrees.

If two angles are complementary, their sum is 90 degrees.

Each angle in a square measures 90 degrees.

The length of a diagonal in a rectangle can be calculated using the Pythagorean theorem: $$d = \text{sqrt}(l^2 + w^2)$$ , where $$l$$ is the length and $$w$$ is the width.