Question

which statement describes congruent figures? congruent figures always face the same direction. congruent figures can have different sizes. congruent figures have the same coordinates. congruent figures have the same size and shape.

Explanation:

To determine the correct statement about congruent figures, we analyze each option:

• Option 1: Congruent figures can be rotated or reflected, so they don't always face the same direction. Eliminate this.
• Option 2: Congruent figures must have the same size (they are identical in size and shape). Different sizes would make them similar, not congruent. Eliminate this.
• Option 3: Congruent figures can be in different positions (e.g., translated), so they don't need the same coordinates. Eliminate this.
• Option 4: By definition, congruent figures have the same size and shape. This matches the geometric definition of congruence.

Answer:

D. Congruent figures have the same size and shape. (Note: Assuming the last option is labeled D; if the original labels were different, adjust the label but keep the text. Based on the given options, the correct one is the last statement: "Congruent figures have the same size and shape.")