This geometry worksheet asks students to identify and shade all the rectangle shapes hidden among other geometric figures.

Let's solve the problem step by step.

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Task:

Shade all the rectangles below.
Then, count how many rectangles there are.

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Step 1: Understand what a rectangle is

A rectangle is a four-sided shape (quadrilateral) with:
- Opposite sides equal and parallel
- Four right angles (90°)
- Two pairs of equal sides

Note: A square is a special type of rectangle (all sides equal, but still has 4 right angles), so squares are rectangles.

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Step 2: Identify all rectangles in the image

Let’s go through each shape one by one:

1. Top row (left to right):
- Triangle → ✘ not a rectangle
- Right triangle → ✘ not a rectangle (only 1 right angle)
- Rectangle → ✔ yes
- Triangle → ✘

2. Second row:
- Circle → ✘
- Large rectangle → ✔
- Vertical rectangle → ✔
- Pentagon → ✘

3. Third row:
- Small triangle → ✘
- Trapezoid → ✘ (not all angles are right, sides not equal/parallel as required)
- Small square → ✔ (a square is a rectangle)
- Small horizontal rectangle → ✔

4. Fourth row:
- Horizontal rectangle → ✔
- Circle → ✘
- Triangle → ✘
- Large triangle → ✘

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Now, list all the rectangles:

Let’s count them carefully:

1. Top center-right small rectangle ✔
2. Middle-left large rectangle ✔
3. Middle-center vertical rectangle ✔
4. Middle-right small square ✔
5. Middle-bottom small horizontal rectangle ✔
6. Bottom-left horizontal rectangle ✔

Wait — let’s double-check positions:

Looking at the layout:

- Row 1: One rectangle (middle-right)
- Row 2: Two rectangles (large horizontal, vertical)
- Row 3: Two rectangles (small square, small horizontal)
- Row 4: One rectangle (bottom-left)

That’s 6 rectangles.

But wait — let’s check again.

Let me number the shapes for clarity:

1. △ (top left) – no
2. △ (right triangle) – no
3. ▭ (small rectangle) – yes
4. △ (top right) – no
5. ○ (circle) – no
6. ▭ (large rectangle) – yes
7. ○ (small circle) – no
8. ▭ (vertical rectangle) – yes
9. Pentagon – no
10. △ (small triangle) – no
11. Trapezoid – no
12. ▭ (small square) – yes
13. ▭ (small horizontal rectangle) – yes
14. ▭ (bottom-left rectangle) – yes
15. ○ (circle) – no
16. △ (triangle) – no
17. △ (large triangle) – no

So the rectangles are:

- #3 – small rectangle
- #6 – large rectangle
- #8 – vertical rectangle
- #12 – small square
- #13 – small horizontal rectangle
- #14 – bottom-left rectangle

✔ That’s 6 rectangles.

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Answer:

You should shade these 6 shapes, and then write:

> How many rectangles can you count?
> 6

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✔ Final Answer: 6 rectangles