Podcast
Questions and Answers
Classify each scale factor as a contraction or an expansion:
Classify each scale factor as a contraction or an expansion:
0.9 = Contraction 3/8 = Contraction 5 = Expansion 8/5 = Expansion -6 = Expansion
What scale factor was used in the dilation of △XYZ to △X′Y′Z′ if XZ=4 and X′Z′=5?
What scale factor was used in the dilation of △XYZ to △X′Y′Z′ if XZ=4 and X′Z′=5?
1.25
What are the coordinates of the vertices of the image triangle under a dilation with a scale factor of 1/4 and center of dilation (0, 0) for triangle originally at the coordinates of (4,1)?
What are the coordinates of the vertices of the image triangle under a dilation with a scale factor of 1/4 and center of dilation (0, 0) for triangle originally at the coordinates of (4,1)?
(1, 0.25)
What scale factor was used in the dilation of △QRS to △Q′R′S′?
What scale factor was used in the dilation of △QRS to △Q′R′S′?
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What are the coordinates of the vertices of the image triangle under a dilation with a scale factor of -3 and center of dilation (0, 0)?
What are the coordinates of the vertices of the image triangle under a dilation with a scale factor of -3 and center of dilation (0, 0)?
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Is 'luck' a valid definition in any context?
Is 'luck' a valid definition in any context?
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Study Notes
Scale Factors
- Contraction: Scale factors of 0.9 and 3/8 indicate a reduction in size.
- Expansion: Scale factors of 5, 8/5, and -6 indicate an increase in size.
Dilation Scale Factor Calculation
- For triangle △XYZ where XZ = 4 and X'Z' = 5, the scale factor used in the dilation is 1.25.
Graphing Dilation
- To graph a triangle under a dilation with a scale factor of 1/4 and center at (0, 0), plot the triangle's vertices accordingly, ensuring each vertex is plotted in order without retracing sides.
Negative Scale Factor Dilation
- For triangle △QRS dilated through point C to produce △Q'R'S', a scale factor of -4 indicates both expansion and a reflection across the center of dilation.
Graphing with Negative Scale Factor
- When dilating a triangle with a scale factor of -3 centered at (0, 0), transformed coordinates include (9, 9), (0, -6), and (6, -9).
Miscellaneous
- Note: "Luck !!!!" may imply encouragement or a lighthearted reminder not to stress during the process of dealing with dilations.
Studying That Suits You
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Description
Test your understanding of dilation with these flashcards. Learn to classify scale factors as contractions or expansions, find scale factors using given data, and graph images of triangles under dilation. Perfect for reinforcing key concepts in geometry!
