Reflectional symmetry, also known as line symmetry or mirror symmetry, exists when a figure can be folded along a line (the line of symmetry) so that the two halves match perfectly. Think of it like looking in a mirror – the image you see is a reflection. In Grade 8, understanding this concept involves identifying lines of symmetry in various shapes and figures, and also drawing symmetrical figures given a line of symmetry. It's all about things being balanced and identical on both sides!
Match the terms with their definitions:
| Term | Definition |
|---|---|
| 1. Line of Symmetry | A. A transformation that flips a figure over a line. |
| 2. Reflection | B. The point where a figure intersects a line of symmetry. |
| 3. Image | C. A line that divides a figure into two congruent halves. |
| 4. Pre-image | D. The resulting figure after a transformation. |
| 5. Fixed Point | E. The original figure before a transformation. |
Match the correct term to the definition. Answers are below
Complete the paragraph using the words: congruent, reflection, symmetry, line, image
A figure has reflectional _________ if there is a _________ that divides it into two _________ halves. One half is the _________ of the other. This transformation is called a _________.
Explain, in your own words, why a circle has infinite lines of symmetry.
A figure has reflectional symmetry if there is a line that divides it into two congruent halves. One half is the image of the other. This transformation is called a reflection.
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