1. Plot the following points on the coordinate plane and connect them to form a polygon:

A(2, 3), B(5, 3), C(4, 1), D(1, 1)

What type of polygon did you create?

2. Plot and connect these points to form a triangle:

P(-2, 4), Q(1, 4), R(-1, 1)

What type of triangle is this? (equilateral, isosceles, or scalene)

3. Create a rectangle with vertices at:

M(-3, -1), N(0, -1), O(0, -4), P(-3, -4)

What is the perimeter of this rectangle?

4. A pentagon has vertices at A(1, 5), B(3, 2), C(1, -1), D(-2, 0), E(-2, 3).

How many sides does this polygon have?

How many angles does this polygon have?

5. Plot the points to create a parallelogram:

J(2, 2), K(6, 2), L(7, 5), M(3, 5)

Name two pairs of parallel sides:

6. Create a hexagon by plotting these points:

S(0, 2), T(1, 1), U(1, -1), V(0, -2), W(-1, -1), X(-1, 1)

Is this a regular or irregular hexagon?

Explain your answer:

7. Plot a square with one vertex at the origin (0, 0) and sides of length 4 units.

List the coordinates of all four vertices:

8. Create your own quadrilateral using these requirements:

• All vertices must be in different quadrants
• No two sides can be parallel

List your coordinates:

What type of quadrilateral did you create?

9. If you translate the triangle with vertices A(1, 1), B(3, 1), C(2, 4) by moving it 2 units left and 3 units up, what are the new coordinates?

Plot both the original and translated triangles:

10. Reflection Challenge: Plot triangle DEF with vertices D(2, 1), E(4, 3), F(1, 4). Then reflect it across the y-axis.

New coordinates after reflection: