The area of triangle D'E'F' is _____ square units. How is the scale factor related to the ratios perimeter traingle D'E'F'/perimeter triangle DEF and area triangle D'E'F'/area triangle DEF? The ratio of the perimeters is (A: double, B: equal to, C: half of) the scale factor. The ratio of the areas is the (A: cube, B: square) of the scale factor.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Triangle DEF has vertices D (4,2), E (4,6), and F (1,6).

 

Determine the perimeter and the area of triangle DEF.

The perimeter of triangle DEF is _____ units.

The area of triangle DEF is _____ square units.

Examine the image of triangle DEF after a dilation having a scale factor of 3, with the center of dilation at the origin (0,0). Determine the perimeter and area of the image.

The perimeter of triangle D'E'F' is _____ units. 

The area of triangle D'E'F' is _____ square units.

How is the scale factor related to the ratios perimeter traingle D'E'F'/perimeter triangle DEF and area triangle D'E'F'/area triangle DEF?

The ratio of the perimeters is (A: double, B: equal to, C: half of) the scale factor. The ratio of the areas is the (A: cube, B: square) of the scale factor.

F'.
E'
17
16
14
13
12
11
10
F.
TE
D'
5
4
3
2
D.
1
-1
-1 0 1 2 3 45678 9 10 11 12 13 14 15 16 17 18
Jopo 65
Transcribed Image Text:F'. E' 17 16 14 13 12 11 10 F. TE D' 5 4 3 2 D. 1 -1 -1 0 1 2 3 45678 9 10 11 12 13 14 15 16 17 18 Jopo 65
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