Question

4.5. non - preserving distance transformations
1.
select the transformations that can be used when it is essential to preserve angle measure.
horizontal translation
reflections
clockwise rotations
dilations
vertical translations
counterclockwise rotations

Explanation:

Step1: Analyze each transformation

• Horizontal translation: It is a rigid transformation. Rigid transformations preserve angle measures.
• Reflections: Rigid transformation. Preserves angle measures.
• Clockwise rotations: Rigid transformation. Preserves angle measures.
• Dilations: Changes the size of the figure. Does not preserve distance (non - rigid), but preserves angle measures (similarity transformation).
• Vertical translations: Rigid transformation. Preserves angle measures.
• Counterclockwise rotations: Rigid transformation. Preserves angle measures.

Answer:

Horizontal translation, Reflections, Clockwise rotations, Dilations, Vertical Translations, Counterclockwise rotations.