Honors Geometry Companion Book, Volume 2

9.2.1 Perimeter and Area in the Coordinate Plane − Practice

1.  Estimate the area of the irregular shape.

2.  Identify the polygon that has vertices P ( − 6, 2), A ( − 3, 3), T (0, 2), and H ( − 3, 1), and then find the perimeter and area of the polygon.

3.  Identify the polygon with vertices K (0, 1), L (2, − 4), M ( − 3, − 2), and N ( − 5, 3), and then find the perimeter and area of the polygon.

4.  Identify the area of the polygon that has vertices A (0, 3), B (5, 5), C (7, 3), and D (3, 1).

5.  Identify the area of the polygon with vertices B (3, 2), C (7, − 2), D (2, − 4), and E (1, − 2) .

6.  Which of the following shows that the two composite figures cover the same area?

○ For both figures,

A = 4 + 4 + 3 + 2 = 13 units 2 .

○ For both figures,

A = 4 + 3 + 3 + 2 = 12 units 2 .

○ For both figures,

A = 4 + 3 + 3 + 3 = 13 units 2 .

○ For both figures,

A = 4 + 4 + 3 + 3 = 14 units 2 .

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