Question

triangle abc is transformed to create triangle mnl. which statement is true? the transformation is rigid because corresponding side lengths and angles are congruent. the transformation is rigid because corresponding side lengths are congruent and corresponding angles are not congruent. the transformation is nonrigid because the two triangles have different names. the transformation is nonrigid because the three sides and the three angles in each triangle have different measures.

Explanation:

A rigid transformation preserves the shape and size of a figure, meaning corresponding side lengths and angles are congruent. Looking at the triangles, the markings show corresponding sides (with same tick marks) and angles (with same arc marks) are congruent.

• The second option is wrong because rigid transformations require corresponding angles to be congruent.
• The third option is wrong because triangle names don't determine if a transformation is rigid; rigidness depends on side/angle congruence.
• The fourth option is wrong as the triangles have congruent sides/angles (from markings), so measures are same.

Only the first statement is correct: rigid transformation (preserves size/shape) as corresponding sides/angles are congruent.

Answer:

The transformation is rigid because corresponding side lengths and angles are congruent.