๐ Topic Summary
Dilation is a transformation that changes the size of a figure without altering its shape. It involves a center of dilation and a scale factor. The scale factor determines whether the figure becomes larger (enlargement) or smaller (reduction). Importantly, dilation preserves angles, meaning the angles in the original figure are the same as the angles in the dilated figure. However, lengths are multiplied by the scale factor, and the orientation of the figure remains the same unless the scale factor is negative.
This worksheet will give you practice in identifying the effects of dilation on angles, lengths, and the orientation of geometric figures. Get ready to explore how shapes transform!
๐งฎ Part A: Vocabulary
Match each term with its correct definition:
| Term |
Definition |
| 1. Scale Factor |
A. A transformation that changes the size of a figure. |
| 2. Dilation |
B. The point from which dilation is measured. |
| 3. Center of Dilation |
C. The ratio of the new length to the original length. |
| 4. Enlargement |
D. A dilation where the figure becomes larger. |
| 5. Reduction |
E. A dilation where the figure becomes smaller. |
Answer Key:
- ๐ 1 - C
- ๐ก 2 - A
- ๐ 3 - B
- ๐ 4 - D
- ๐ 5 - E
โ๏ธ Part B: Fill in the Blanks
Complete the following paragraph with the correct terms:
When a figure is dilated, its ______ are preserved, but its ______ are multiplied by the ______. If the scale factor is greater than 1, the dilation is an ______. If the scale factor is less than 1, the dilation is a ______.
Answer Key:
- ๐ angles
- ๐ lengths
- ๐ข scale factor
- ๐ enlargement
- ๐ reduction
๐ค Part C: Critical Thinking
Explain how a dilation with a scale factor of 1 affects a geometric figure. What happens to its size, shape, and orientation?