๐ Topic Summary
Scale figures are shapes that are proportional to each other; one is an enlarged or reduced version of the other. Corresponding parts are the sides and angles that are in the same relative position in the two figures. Identifying corresponding parts is crucial for understanding similarity and solving problems involving proportions.
๐ง Part A: Vocabulary
Match the terms with their definitions:
- Corresponding Sides
- Scale Factor
- Proportion
- Similar Figures
- Corresponding Angles
Definitions:
- ๐ Angles that are in the same relative position in two figures.
- ๐ Sides that are in the same relative position in two figures.
- โ๏ธ An equation stating that two ratios are equal.
- ๐ฏ Figures that have the same shape but different sizes.
- ๐ข The ratio of any length in a scale figure to its corresponding length in the original figure.
Match the term to its definition. For example, if you think Corresponding Sides matches with "An equation stating that two ratios are equal," write 1-3.
โ๏ธ Part B: Fill in the Blanks
Complete the paragraph using the words provided:
(similar, scale factor, corresponding, proportional, angles)
If two figures are ________, their ________ sides are in the same relative position, and their ________ are equal. The ratio between the ________ sides is called the ________.
๐ค Part C: Critical Thinking
Explain how you would determine if two quadrilaterals are similar. What measurements would you need, and what relationships would you need to check?