Coordinate Plotting and Shapes

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📍 Part 1: Plotting Points and Shapes

1. Plot the following points on the coordinate grid below and label each point:

A(2, 3), B(5, 3), C(5, 1), D(2, 1)

2. Connect the points A, B, C, D in order to form a shape. What type of shape have you created?

Triangle

Rectangle

Pentagon

Circle

3. Calculate the length of side AB using the coordinates:

4. Which sides of your shape are parallel? Explain how you can tell using the coordinates:

🔄 Part 2: Transformations on the Coordinate Plane

5. The triangle PQR has vertices at P(1, 2), Q(3, 2), and R(2, 4). If you translate this triangle 3 units right and 2 units up, what are the new coordinates?

P' = ( ____ , ____ )

Q' = ( ____ , ____ )

R' = ( ____ , ____ )

6. When a shape is reflected over the y-axis, what happens to the coordinates?

The x-coordinate changes sign, y-coordinate stays the same

The y-coordinate changes sign, x-coordinate stays the same

Both coordinates change sign

Both coordinates stay the same

7. Plot triangle ABC with vertices A(1, 1), B(4, 1), C(3, 3). Then draw its reflection over the x-axis and write the new coordinates:

A' = ( ____ , ____ ), B' = ( ____ , ____ ), C' = ( ____ , ____ )

🎯 Part 3: Shape Analysis and Problem Solving

8. Create your own quadrilateral by choosing four coordinate points. Plot and connect them below:

My coordinates: ( ____ , ____ ), ( ____ , ____ ), ( ____ , ____ ), ( ____ , ____ )

9. Describe two properties of your quadrilateral using mathematical language:

10. A square has one vertex at (2, 2) and another at (5, 2). If the square is in the first quadrant, what could the other two vertices be?

Coordinate Plotting and Shapes

Coordinate Plotting and Shapes

📍 Part 1: Plotting Points and Shapes

🔄 Part 2: Transformations on the Coordinate Plane

🎯 Part 3: Shape Analysis and Problem Solving

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