Math Problem Statement
Solution
The problem asks about a scaled copy of a figure, with two polygons shown: one on the left and one on the right. Based on the image, the figure on the right is a scaled-up version of the figure on the left.
Questions:
- Which side in the figure on the right corresponds to segment ?
In a scaled copy, corresponding sides are proportional and located similarly in both shapes. By observing the figure:
- Segment is the bottom side of the left polygon.
- The corresponding side in the right polygon would be segment , as it is in the same position (bottom side).
- What is the scale factor?
To determine the scale factor, we need to compare the lengths of corresponding sides. Let's compare the lengths of and .
- is 2 units long (counting the grid squares).
- is 4 units long.
The scale factor is:
Thus, the scale factor is 2.
Would you like further details or have any questions?
Here are 5 questions related to this topic:
- How do you verify if two shapes are scaled copies of each other?
- What is the relationship between the areas of two similar figures given their scale factor?
- If the scale factor between two figures is 3, how does this affect the perimeter?
- How can you find missing side lengths in a scaled figure?
- What is the difference between a scaled copy and a congruent figure?
Tip: When working with scaled figures, always compare corresponding sides and check that their ratios are equal.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Scaled Figures
Proportionality
Formulas
Scale factor = (Length of corresponding side in scaled figure) / (Length of side in original figure)
Theorems
The concept of similar triangles and proportional sides in geometric scaling.
Suitable Grade Level
Grade 6-8
Related Recommendation
Identifying Corresponding Sides and Scale Factor in Scaled Figures
Identifying Corresponding Sides and Calculating Scale Factor in Scaled Figures
Identifying Corresponding Sides and Scale Factor in Similar Figures
Finding Corresponding Sides and Scale Factors in Similar Figures
Identifying Corresponding Sides and Scale Factors in Similar Figures