Question

Which transformation creates similar triangles but not congruent triangles? A) Rotation and translation

B) Dilation and rotation
C) Reflection and rotation
D) Translation and reflection

Answer 1

The transformation that creates similar triangles but not congruent triangles is (Option D) dilation and rotation.

Step-by-step explanation:

The transformation that creates similar triangles but not congruent triangles is B) Dilation and rotation.

Dilation is a transformation that changes the size of a figure without changing its shape. A dilation can either enlarge or reduce the size of the figure. When a figure is dilated, the corresponding sides of the new figure are proportional to the corresponding sides of the original figure. Therefore, the resulting triangles after dilation are similar but not necessarily congruent.

Rotating a figure refers to turning it around a point called the center of rotation. The angle of rotation determines the amount of turning, and the direction of rotation can be clockwise or counterclockwise. Since rotation does not change the size or shape of a figure, the resulting triangles after rotation are congruent.

Answer 2

B.

Step-by-step explanation:

Dilation changes the size of the triangle but not the shape so the image is similar.

A, C and D creates congruent triangle.