Question

which transformation will result in a triangle that is not congruent to the original triangle? a reflection over the y - axis. a translation 5 units to the left. a dilation by a scale factor of 4. a 180° counterclockwise rotation around the origin.

Explanation:

• Reflection, translation, and rotation are rigid transformations. Rigid transformations preserve the shape and size of the figure, so the resulting triangle is congruent to the original triangle.
• Dilation is a non - rigid transformation. When a triangle is dilated by a scale factor \(k

eq1\), the side lengths of the new triangle are \(k\) times the side lengths of the original triangle. If \(k = 4\), the side lengths of the dilated triangle are 4 times the side lengths of the original triangle, and the two triangles are not congruent.

Answer:

C. A dilation by a scale factor of 4.