Question

triangle def is similar to triangle def. which similarity transformation could map △def to △def? ○ dilation and reflection ○ dilation and translation ○ rotation and dilation. ○ rotation and reflection

Explanation:

Step1: Analyze similarity transformations

Similarity transformations include dilation (to change size) and rigid motions (rotation, reflection, translation) to change position/orientation.

Step2: Check the triangles

△DEF and △D'E'F' have different sizes (so dilation is needed) and △D'E'F' is rotated relative to △DEF (so rotation is involved). Reflection would flip, translation would slide without rotation. So rotation (to align orientation) and dilation (to change size) are needed.

Step3: Evaluate options

• Dilation and reflection: No clear reflection.
• Dilation and translation: No translation (position change is rotation, not slide).
• Rotation and dilation: Matches (rotate to align, dilate to change size).
• Rotation and reflection: No reflection.

Answer:

rotation and dilation