Question

transformations (8.g.a.2). 4. for each pair of shapes, decide whether or not shape a is congruent to shape b. explain your reasoning. a. first pair

Explanation:

Step1: Check side - lengths

Count the grid - unit lengths of corresponding sides of Shape A and Shape B. We find that the lengths of the sides of Shape A match the lengths of the corresponding sides of Shape B.

Step2: Check angles

By observing the orientation of the shapes on the grid, we can see that the angles of Shape A match the angles of Shape B. Since we can translate and rotate Shape A to exactly overlap Shape B, they are congruent.

Answer:

Shape A is congruent to Shape B because their corresponding side - lengths are equal and their corresponding angles are equal, and Shape A can be transformed (translated and rotated) to coincide with Shape B.