Math

QuestionClassify the quadrilaterals: Draw and color a parallelogram, square, and rectangle based on their classification.

Studdy Solution

STEP 1

Assumptions1. We need to draw three shapes a parallelogram, a square, and a rectangle. . We need to understand the properties of these shapes to draw them correctly.

STEP 2

Let's start by drawing a parallelogram. A parallelogram is a four-sided shape where opposite sides are equal in length and parallel to each other.In LaTeX, you can use the TikZ package to draw a parallelogram. Here's an example\begin{verbatim} \begin{tikzpicture} \draw (0,0) -- (2,0) -- (,2) -- (1,2) -- cycle; \end{tikzpicture} \end{verbatim}

STEP 3

Next, we'll draw a square. A square is a special type of rectangle and parallelogram where all four sides are equal in length and each angle is a right angle (90 degrees).
Here's how you can draw a square in LaTeX\begin{verbatim} \begin{tikzpicture} \draw (0,0) -- (2,0) -- (2,2) -- (0,2) -- cycle; \end{tikzpicture} \end{verbatim}

STEP 4

Finally, we'll draw a rectangle. A rectangle is a type of parallelogram where opposite sides are equal in length and each angle is a right angle.
Here's how you can draw a rectangle in LaTeX\begin{verbatim} \begin{tikzpicture} \draw (0,0) -- (3,0) -- (3,2) -- (0,2) -- cycle; \end{tikzpicture} \end{verbatim}

STEP 5

Now that we've drawn all three shapes, we can classify them.The first shape is a parallelogram because its opposite sides are parallel and equal in length.
The second shape is a square because all its sides are equal in length and each angle is a right angle.
The third shape is a rectangle because its opposite sides are equal in length and each angle is a right angle.
So, all the shapes are classified correctly.

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