What characteristic do congruent figures share?

What characteristic do congruent figures share?

• A. They have same shape but not same size
• B. They have same size and shape
• C. They have different angles but same sides
• D. They are always symmetrical

Answer: (B)

Congruent figures are defined as figures that have exactly the same size and shape. This means that if one figure can be transformed into another through rotations, reflections, or translations without changing its dimensions, the two figures are congruent. For example, two triangles that are congruent will have corresponding sides of equal length and corresponding angles of equal measure. This characteristic of sharing both size and shape is fundamental in geometry, as it allows for precise comparisons and manipulations of figures in various mathematical contexts. Understanding congruence helps students grasp concepts related to similarity and transformations as well.

Congruent figures are defined as figures that have exactly the same size and shape. This means that if one figure can be transformed into another through rotations, reflections, or translations without changing its dimensions, the two figures are congruent. For example, two triangles that are congruent will have corresponding sides of equal length and corresponding angles of equal measure.

This characteristic of sharing both size and shape is fundamental in geometry, as it allows for precise comparisons and manipulations of figures in various mathematical contexts. Understanding congruence helps students grasp concepts related to similarity and transformations as well.