Math Problem Statement

Which sequence of transformations describes the movement of the figure from picture to picture?

Solution

To analyze the sequence of transformations in the image:

  1. Image Observation:

    • There’s a sequence of figures from 1 to 4.
    • Figure 1 is an upright arrow.
    • Figure 2 shows the arrow translated (shifted horizontally).
    • Figure 3 is the reflected version of Figure 2.
    • Figure 4 translates (shifts) the reflected arrow from Figure 3 further to the right.
  2. Transformation Sequence:

    • Step 1: Translation – moving from Figure 1 to Figure 2.
    • Step 2: Reflection – flipping the arrow to obtain Figure 3.
    • Step 3: Translation – moving the reflected arrow to obtain Figure 4.
  3. Answer: The correct answer is "Translation, reflection, translation" which matches the sequence provided in the image.

Would you like more details or have any questions?


Related Questions:

  1. What is the difference between a translation and a reflection in geometry?
  2. How can rotations be identified in a sequence of transformations?
  3. Why is it important to understand the order of transformations?
  4. How do different transformations affect the orientation of a shape?
  5. Can sequences of transformations be combined into a single transformation?

Tip:

Always check for changes in orientation and position carefully to identify reflections, rotations, and translations in sequences.

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Math Problem Analysis

Mathematical Concepts

Geometry
Transformations
Translations
Reflections

Formulas

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Theorems

Transformation properties of geometric figures

Suitable Grade Level

Grades 8-10