Question

For two quadrilaterals A B C D is similar to Q R S T, line segment A B equals 5 inches, line segment B C equals line segment C D equals 8 inches, and line segment D A equals 2 inches. Match the given scale factor with the given side length between quadrilaterals A B C D and Q R S T.


Match Term Definition
1.25 A) line segment S T equals 4 inches
3 B) line segment Q R equals ten inches
2 C) line segment R S equals ten inches
0.5 D) line segment T Q equals 6 inches

Answer 1

okay I GOT THIS

Answer 2

lol kk

Answer 3

Okay so i'm using one quad for both properties, with ABCD info on the outside and the QRST on the inside

Answer 4

ok lol but im still confused

Answer 5

The only way to get the scale factor to match the given values was to divide the bigger value by the smaller value

Answer 6

oops sorry

Answer 7

I meant the the QRST length/ABCD length

Answer 8

So like for a simple example, scale factor is a multiple of a certain value. Say, A=3 and B=6, we know b is 2 times A value, so the scale factor is 2. 6/3=2.

It is the same in this case. If you A and B in the simple example I proposed, as a length (say A=ST and B=AB) we have A=4 and B=8 correct? to find the scale factor, we do A/B=4/8=0.5

Answer 9

Apply method to find scale factor of all sides. Hope this makes sense

Answer 10

ok thanks @babalooo

Answer 11

np