📐 Topic Summary
A dilation is a transformation that changes the size of a figure but not its shape. It's like zooming in or out on a picture. The center of dilation is the fixed point from which the figure expands or contracts. When a figure is dilated, certain properties remain unchanged: angle measures stay the same, collinearity (points lying on the same line) is preserved, and proportionality (ratios of side lengths) is maintained. This quiz will help you practice identifying and applying these properties.
🔤 Part A: Vocabulary
Match each term with its correct definition:
- Dilation
- Center of Dilation
- Angle Measure
- Collinear
- Proportionality
- The fixed point from which dilation occurs.
- The size of an angle, usually measured in degrees.
- Points that lie on the same straight line.
- A transformation that changes the size of a figure.
- The relationship between quantities that have a constant ratio.
✍️ Part B: Fill in the Blanks
Complete the paragraph with the correct words.
When a figure undergoes a ________, its shape remains the same, but its size changes. The ________ of dilation is the fixed point. ________ refers to points lying on the same line, and this property is preserved after dilation. The ratios of corresponding side lengths demonstrate ________, which is also maintained after dilation. Furthermore, ________ are also preserved during dilation.
🤔 Part C: Critical Thinking
Explain, using an example, why understanding the properties of dilations is important in real-world applications such as architecture or graphic design.