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′?
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)?
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 â–³XYZ 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 â–³QRS dilated through point C to produce â–³Q'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.
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