"Shape Up!" math worksheet for identifying and coloring shapes based on coordinates.

Let’s solve this step by step.

We are given 8 sets of coordinate points (X, Y). For each set, we need to:

1. Plot the points on a grid (mentally or on paper).
2. Connect them in order — and also connect the last point back to the first to close the shape.
3. Count how many sides the shape has → that tells us what kind of polygon it is.
4. Then color it according to the rules at the bottom:
- Triangle (3 sides) → blue
- Quadrilateral (4 sides) → green
- Pentagon (5 sides) → red
- Hexagon (6 sides) → orange
- Octagon (8 sides) → purple

Note: All shapes here are closed polygons because they start and end at the same point (you can see the first and last coordinates are often the same, or implied to connect back).

Let’s go one group at a time.

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Group 1:
(10,10), (13,15), (16,10), (10,10)

→ Points: A(10,10), B(13,15), C(16,10), then back to A(10,10)

That’s 3 distinct points → forms a triangle? Wait — let’s count the segments:

A to B → side 1
B to C → side 2
C to A → side 3

Yes! 3 sides → Triangle → Color blue

Wait — but there are 4 listed points? Actually, the first and last are the same: (10,10) appears twice. So it’s 3 unique vertices → triangle.

✔ Triangle → Blue

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Group 2:
(1,16), (7,16), (9,19), (3,19), (1,16)

Points: A(1,16), B(7,16), C(9,19), D(3,19), back to A(1,16)

Count the sides:

A-B, B-C, C-D, D-A → 4 sides → Quadrilateral → Green

✔ Quadrilateral → Green

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Group 3:
(18,5), (16,7), (14,7), (12,5), (12,3), (14,1), (16,1), (18,3), (18,5)

List: A(18,5), B(16,7), C(14,7), D(12,5), E(12,3), F(14,1), G(16,1), H(18,3), back to A(18,5)

How many sides? From A to B to C to D to E to F to G to H to A → that’s 8 segments → Octagon → Purple

✔ Octagon → Purple

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Group 4:
(7,1), (7,3), (5,3), (5,1), (7,1)

Points: A(7,1), B(7,3), C(5,3), D(5,1), back to A(7,1)

Sides: A-B, B-C, C-D, D-A → 4 sides → Quadrilateral → Green

✔ Quadrilateral → Green

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Group 5:
(3,11), (6,11), (8,8), (6,5), (3,5), (1,8), (3,11)

Points: A(3,11), B(6,11), C(8,8), D(6,5), E(3,5), F(1,8), back to A(3,11)

Sides: A-B, B-C, C-D, D-E, E-F, F-A → 6 sides → Hexagon → Orange

✔ Hexagon → Orange

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Group 6:
(6,12), (6,14), (8,15), (10,14), (10,12), (6,12)

Points: A(6,12), B(6,14), C(8,15), D(10,14), E(10,12), back to A(6,12)

Sides: A-B, B-C, C-D, D-E, E-A → 5 sides → Pentagon → Red

✔ Pentagon → Red

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Group 7:
(2,21), (8,21), (9,24), (2,21)

Points: A(2,21), B(8,21), C(9,24), back to A(2,21)

Sides: A-B, B-C, C-A → 3 sides → Triangle → Blue

✔ Triangle → Blue

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Group 8:
(15,16), (19,19), (17,23), (13,23), (11,19), (15,16)

Points: A(15,16), B(19,19), C(17,23), D(13,23), E(11,19), back to A(15,16)

Sides: A-B, B-C, C-D, D-E, E-A → 5 sides → Pentagon → Red

✔ Pentagon → Red

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Now let’s summarize all 8 groups with their colors:

1. Triangle → Blue
2. Quadrilateral → Green
3. Octagon → Purple
4. Quadrilateral → Green
5. Hexagon → Orange
6. Pentagon → Red
7. Triangle → Blue
8. Pentagon → Red

So the final answer is the list of colors for each group in order.

Final Answer:
Blue, Green, Purple, Green, Orange, Red, Blue, Red