Soccer Season Dashboard: Coordinate Polygons

Draw display panels and use their coordinates to find side lengths.

Season Standings Panel

A soccer league is designing a printed dashboard for season standings and player stats. Each coordinate unit represents 1 cm. Connect vertices in the stated order and close each polygon.

Draw the rectangular standings panel with vertices A(−5, −2), B(3, −2), C(3, 4), and D(−5, 4). Label the vertices and connect A–B–C–D–A.

Use the standings panel from question 1.

What is the length of side AB? cm

What is the length of side BC? cm

The league wants a thin border around all four sides of the standings panel. The border has no overlaps or gaps.

How much border material is needed? cm

A second rectangular standings panel has consecutive vertices P(−4, 1), Q(2, 1), R(2, 5), and S. Its sides are horizontal or vertical. What are the coordinates of S?

A. (−4, 5)B. (−4, −5)C. (5, −4)D. (−2, 5)

Player Stats Panel

The player stats panel has an L-shaped outline. Continue to use 1 coordinate unit = 1 cm.

Draw the player stats panel with vertices E(−4, −3), F(4, −3), G(4, 1), H(1, 1), J(1, 5), and K(−4, 5). Label the vertices and connect E–F–G–H–J–K–E.

Use the player stats panel from question 6 to find the two sides of its inward corner.

Length of GH: cm
Length of HJ: cm

The designer has 35 cm of border material. It will go around all six sides of the player stats panel, with no overlaps or gaps.

How much material will remain after the border is complete? cm

Which calculation correctly finds the length of side JK in the player stats panel?

A. 5 − 1 = 4 cmB. 1 + (−4) = −3 cmC. 5 − 5 = 0 cmD. 1 − (−4) = 5 cm

10.

A label strip for the leading goal scorer has consecutive vertices L(−3, −5), M(4, −5), N(4, −2), and P(−3, −2). Which statement correctly describes its side lengths?

A. The horizontal sides are 7 cm and the vertical sides are 7 cm.B. The horizontal sides are 3 cm and the vertical sides are 7 cm.C. The horizontal sides are 7 cm and the vertical sides are 3 cm.D. The horizontal sides are 1 cm and the vertical sides are 3 cm.

Check the Final Layout

Use the coordinates to check proposed changes. All lengths are in centimeters.

11.

The four vertices below mark a panel for team wins, draws, and losses. Which connection order draws its rectangular boundary without crossing through the interior?

A. P–R–Q–S–PB. P–Q–R–S–PC. P–S–Q–R–PD. P–Q–S–R–P

12.

The league needs more space for goalkeeper save totals. A rectangular panel originally extends from x = −2 to x = 3. The designer moves only its right edge to x = 6.

What is the panel's new horizontal side length? cm

13.

A panel for assists has one side with endpoints U(−5, −4) and V(−5, −1). Sam says, “Both y-coordinates are negative, so I add their distances from zero. The side is 5 cm long.” Explain Sam's mistake and find the correct side length.