Problem Analysis:
The task involves identifying whether each transformation of a letter is a
translation,
reflection, or
rotation. Additionally, there are two tasks at the end where you need to draw a reflection and a translation of specific letters.
Step-by-Step Solution:
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1. Definitions Recap:
-
Translation: The letter is moved to a new position without any rotation or flipping.
-
Reflection: The letter is flipped over a line (like a mirror image).
-
Rotation: The letter is turned around a point by a certain angle.
####
2. Analyze Each Transformation:
#####
Letter D (Problem 1):
- Original: `D`
- Transformed: `D` (flipped horizontally)
-
Solution: Reflection
#####
Letter E (Problem 2):
- Original: `E`
- Transformed: `E` (flipped vertically)
-
Solution: Reflection
#####
Letter F (Problem 3):
- Original: `F`
- Transformed: `F` (rotated 90 degrees clockwise)
-
Solution: Rotation
#####
Letter G (Problem 4):
- Original: `G`
- Transformed: `G` (rotated 180 degrees)
-
Solution: Rotation
#####
Letter H (Problem 5):
- Original: `H`
- Transformed: `H` (moved to a new position without flipping or rotating)
-
Solution: Translation
#####
Letter I (Problem 6):
- Original: `I`
- Transformed: `I` (flipped horizontally)
-
Solution: Reflection
#####
Letter J (Problem 7):
- Original: `J`
- Transformed: `J` (rotated 90 degrees clockwise)
-
Solution: Rotation
#####
Letter K (Problem 8):
- Original: `K`
- Transformed: `K` (moved to a new position without flipping or rotating)
-
Solution: Translation
####
3. Draw the Letter to Show a Reflection (Problem 9):
- Original letter: `L`
-
Reflection: Flip the letter `L` over a vertical line.
- The reflected `L` will look like an inverted `L` (similar to a backward `L`).
####
4. Draw the Letter to Show a Translation (Problem 10):
- Original letter: `M`
-
Translation: Move the letter `M` to a new position without flipping or rotating.
- Simply redraw the `M` in a different location on the grid.
Final Answers:
1.
Reflection
2.
Reflection
3.
Rotation
4.
Rotation
5.
Translation
6.
Reflection
7.
Rotation
8.
Translation
For Problems 9 and 10, the drawings should be as follows:
-
Problem 9 (Reflection of L): Draw an inverted `L` (backward `L`).
-
Problem 10 (Translation of M): Redraw the `M` in a different position on the grid.
Boxed Final Answer:
\[
\boxed{
\text{1. Reflection, 2. Reflection, 3. Rotation, 4. Rotation, 5. Translation, 6. Reflection, 7. Rotation, 8. Translation}
}
\]
Parent Tip: Review the logic above to help your child master the concept of translations reflections and rotations worksheet answers.