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๐ Topic Summary
In geometry, a reflection is a transformation that flips a figure over a line, called the line of reflection. The reflected image is the same size and shape as the original, but it's a mirror image. Think about looking in a mirror โ that's a reflection! In Grade 8, we often work with reflections over the x-axis, y-axis, or other lines.
Reflections preserve the size and shape (congruence) of the figure. When reflecting over the x-axis, the x-coordinate stays the same, and the y-coordinate changes sign. When reflecting over the y-axis, the y-coordinate stays the same, and the x-coordinate changes sign. Let's practice!
๐ค Part A: Vocabulary
Match each term with its definition:
- Reflection
- Line of Reflection
- Image
- Pre-image
- Coordinate Plane
Definitions:
- The original figure before a transformation.
- A plane formed by the intersection of a horizontal number line (x-axis) and a vertical number line (y-axis).
- The transformation that creates a mirror image of a figure.
- The line over which a figure is reflected.
- The figure after a transformation.
Write the correct number next to the term:
- Reflection: ____
- Line of Reflection: ____
- Image: ____
- Pre-image: ____
- Coordinate Plane: ____
โ๏ธ Part B: Fill in the Blanks
Complete the following paragraph with the correct words:
A ______ is a transformation that flips a figure over a ______. The resulting figure is called the ______. When reflecting over the x-axis, the ______ coordinate stays the same, and the ______ coordinate changes sign.
Possible words: reflection, line of reflection, image, x, y
๐ค Part C: Critical Thinking
Describe a real-world example of a reflection you see in your daily life and explain what the "line of reflection" is in that situation.
๐ Answer Key
Part A: Vocabulary
- Reflection: 3
- Line of Reflection: 4
- Image: 5
- Pre-image: 1
- Coordinate Plane: 2
Part B: Fill in the Blanks
A reflection is a transformation that flips a figure over a line of reflection. The resulting figure is called the image. When reflecting over the x-axis, the x coordinate stays the same, and the y coordinate changes sign.
Part C: Critical Thinking
Answers will vary but should demonstrate understanding of reflections. Example: Looking at my reflection in a calm lake. The surface of the water acts as the line of reflection.
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