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:

• "Congruent figures always face the same direction": Congruent figures can be rotated, so they don't have to face the same direction. For example, the triangles in the graph are congruent but face different directions. Eliminate this option.
• "Congruent figures can have different sizes": By definition, congruent figures must have the same size (and shape). Similar figures can have different sizes, but congruent ones cannot. Eliminate this option.
• "Congruent figures have the same coordinates": Congruent figures can be translated (moved) to different positions, so their coordinates can differ. The triangles in the graph are congruent but have different coordinates. Eliminate this option.
• "Congruent figures have the same size and shape": This matches the definition of congruent figures. Congruent figures are identical in both size (corresponding sides are equal) and shape (corresponding angles are equal), and can be transformed (translated, rotated, reflected) to coincide.

Answer:

The statement that describes congruent figures is: "Congruent figures have the same size and shape." (the last option)