Unit 6 Contents

Use Four-Quadrant Grid Paper to answer the following questions.

1. Two of the vertices of Rectangle A are located at (−6, −1) and (2, −1). List 2 other sets of coordinates to make Rectangle A.
2. Make a rectangle larger than Rectangle A. (−6, 1) and (2, 1) are two vertices. List the coordinates for the other two vertices.
3. Below are the coordinates for the vertices of a quadrilateral. List the coordinate for the missing vertex if the quadrilateral is a parallelogram. Justify your decision.
   (3, 4), (6, 4), (4, 6)
4. Luis said, “I can make a rectangle by adding one set of coordinates to (3, 4), (6, 4) and (4, 6).” Do you agree with Luis? Why or why not?
5. Look at the coordinates listed. Without plotting, predict the shape. Explain your thinking.
   
   A (−5, 10), B (−5, 6), C (−1, 6), D (−1, 10)
6. Mark told the class he made a trapezoid with these coordinates:
   
   A (2, −4), B (4, −2), C (6, −2), D (7, −4).
   Do you agree with Mark? Why or why not?
7. Tanya wrote down these coordinates and said they mark the vertices of a triangle.
   
   A (−1, 3), B (−4, 4), C (−4, 0)
   Do you agree with Tanya? Why or why not?

Check-In: Questions 8–10

8. Two of the vertices of Square B are located at (0, 0) and (0, 6).
1. List the coordinates for the other two vertices needed to make Square B.
2. Is there another way to make Square B? List the coordinates for the other two vertices.
9. Julia and Luis recorded coordinates for the vertices of polygons.
   
   Julia: A (1, 8), B (3, 6), C (7, 10), D (3, 10)
   Luis: A (1, 1), B (1, 4), C (6, 4), D (6, 1)
1. Which coordinates make a rectangle? How do you know?
2. What shape does the other set of coordinates make?
10. Describe the triangle with vertices located at A (2, 2), B (2, 5), and C (7, 2).