Question

polygons a and b are shown below. prove that polygon a is congruent to polygon b. enter your response here

Explanation:

Step1: Identify side - lengths

Count the grid - squares for each side of the polygons. For both polygons A and B, corresponding sides have the same number of grid - square lengths.

Step2: Check angles

Since the polygons are on a grid, right - angled and other angles can be compared. Corresponding angles in Polygon A and Polygon B are equal as they are formed by the grid lines in the same way.

Step3: Use congruence definition

Two polygons are congruent if their corresponding sides and corresponding angles are equal. Since both corresponding sides and angles of Polygon A and Polygon B are equal, they are congruent.

Answer:

Polygon A is congruent to Polygon B because their corresponding sides and corresponding angles are equal as determined by counting grid - square side - lengths and comparing angle formations on the grid.