📚 Topic Summary
Congruence means two shapes are exactly the same – same size, same angles. Imagine identical twins! Similarity means two shapes have the same angles, but one is just a scaled version of the other. Think of a photo and a miniature version of that photo; they look alike but are different sizes. Understanding these concepts helps us see how shapes relate to each other in the real world, from architecture to art!
📐 Part A: Vocabulary
Match the terms with their definitions:
| Term |
Definition |
| 1. Congruent |
A. Having the same shape but different sizes. |
| 2. Similar |
B. A transformation that flips a figure over a line. |
| 3. Transformation |
C. A change in position, size, or shape of a figure. |
| 4. Reflection |
D. Having the same size and shape. |
| 5. Dilation |
E. A transformation that enlarges or reduces a figure. |
✍️ Part B: Fill in the Blanks
When two triangles are __________, all corresponding sides are proportional and all corresponding angles are __________. If two figures are __________, it means they are exactly the same shape and size. A __________ changes the size or position of a shape. Understanding these concepts is crucial in various fields, including __________ and __________.
🤔 Part C: Critical Thinking
Imagine you're designing a miniature version of a building. How would you use the concept of similarity to ensure your model accurately represents the real building?