Geometry Dilation Flashcards

Questions and Answers

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?

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)?

(1, 0.25)

What scale factor was used in the dilation of △QRS to △Q′R′S′?

-4 Signup and view all the answers

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)?

(9, 9), (0, -6), (6, -9) Signup and view all the answers

Is 'luck' a valid definition in any context?

False Signup and view all the answers

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.

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!