Question

1. draw a rectangle that shows 2 equal parts. shade \\(\frac{1}{2}\\) of the rectangle.

Explanation:

Step1: Draw a basic rectangle

Draw a 4-sided shape with 4 right angles (e.g., length $4$ units, width $2$ units: $\square$ with vertices at $(0,0), (4,0), (4,2), (0,2)$)

Step2: Split into 2 equal parts

Draw a line connecting the midpoints of the top and bottom sides (or left/right sides). For the rectangle above, midpoints are $(2,0)$ and $(2,2)$, so the line is $x=2$. This splits the rectangle into two congruent smaller rectangles, each with area $\frac{1}{2} \times (4 \times 2) = 4$ square units.

Step3: Shade one equal part

Shade either of the two smaller rectangles created by the dividing line.

Answer:

A rectangle divided by a vertical or horizontal line through its midpoint, with exactly one of the two resulting congruent sections shaded. (Visual example:

┌───────┬───────┐
│███████│       │
│███████│       │
└───────┴───────┘