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Mathematics 19 Online
OpenStudy (matthew120):

Triangles PQR and STU are similar. What is the length of st ?

OpenStudy (matthew120):

A. 24 m B. 20 m C. 14 m D. 12 m

OpenStudy (matthew120):

@AlexandervonHumboldt2

OpenStudy (matthew120):

v your on

Vocaloid (vocaloid):

hint: TU is 3 times as big as QR so ST will be 3 times as big as PQ

OpenStudy (matthew120):

so b or a

Vocaloid (vocaloid):

think carefully about what I just wrote..

Vocaloid (vocaloid):

how big is PQ?

OpenStudy (matthew120):

8 meters

Vocaloid (vocaloid):

good, so how big is ST?

OpenStudy (matthew120):

it a !!!

Vocaloid (vocaloid):

yes good

OpenStudy (matthew120):

hat is the scale factor for the similar figures? A. B. C. D.

OpenStudy (matthew120):

a is 4

OpenStudy (matthew120):

b is 3 - 2

OpenStudy (matthew120):

c is 2 - 3

OpenStudy (matthew120):

d is 1 - 4

OpenStudy (danjs):

yeah that is pretty much similarity, a 'zoom' in a by a certain amount sorta

OpenStudy (danjs):

corresponding sides of the figure, will be in the same ratio, or proportion (a/b

OpenStudy (danjs):

12/3 = 8/2 = ..

OpenStudy (matthew120):

i can only pick one

OpenStudy (danjs):

you are moving from larger to smaller, so you want the inverse of that scale, the larger is 4 times larger than the smaller, or the smaller is 1/4 the larger

OpenStudy (danjs):

for similarity and congruence, match up the sides in ratios like that, you can solve for missing things if you need to

OpenStudy (matthew120):

i think its a

OpenStudy (danjs):

th esmaller figure is 1/4 the size of the original, that is the scale, notice the ratio of the sides 2/8 = 3/12

OpenStudy (danjs):

reduces to 1/4

OpenStudy (matthew120):

i got a 80

OpenStudy (danjs):

all the sides on the smaller one are 1/4 the size of the larger corresponding size, that is the zoom scale factor to change from small to large lengths

OpenStudy (danjs):

look ar the properties of similar figures, you will see that sides are in proportion

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