Question

NEED HELP ASAP

1. question : which triangle could not be similar to triangle ABC?
select each correct answer.

2.

Which pairs of rectangles are similar polygons?

Select each correct answer.

Answer 1

Answer 1:

GHI and JKL

Answer 2:

Look at the 2nd screenshot.

Explanation:

I took the quiz. I hope this helps :)

Answer 2

Part 1) Triangle GHI, JKL

Part 2)
`(40*15)and(8*3)`,
`(18*6)and(4.5*1.5)`

Explanation:

we know that

If two figures are similar

then

the ratio of their corresponding sides are equal and is called the scale factor

Part 1)

case a) triangle GHI

If ABC and GHI are similar

then

`(4)/(24)=(3)/(7)=(5)/(25)`

but

`0.17 \\eq 0.43 \\eq \ 0.20`

therefore

Triangle GHI is not similar to triangle ABC

case b) triangle DEF

If ABC and DEF are similar

then

`(4)/(44)=(3)/(33)=(5)/(55)`

`0.09=0.09=0.09`

therefore

Triangle DEF is similar to triangle ABC

case c) triangle MNO

If ABC and MNO are similar

then

`(4)/(10)=(3)/(7.5)=(5)/(12.5)`

`0.4=0.4=0.4`

therefore

Triangle MNO is similar to triangle ABC

case d) triangle JKL

If ABC and JKL are similar

then

`(4)/(21)=(3)/(20)=(5)/(29)`

`0.19 \\eq 0.15 \\eq 0.17`

therefore

Triangle JKL is not similar to triangle ABC

Part 2)

case a) If the rectangles are similar, then

`(40)/(8)=(15)/(3)`

`5=5`

therefore

the rectangles are similar

case b) If the rectangles are similar, then

`(18)/(4.5)=(6)/(1.5)`

`4=4`

therefore

the rectangles are similar

case c) If the rectangles are similar, then

`(1,225)/(3.5)=(144)/(1.2)`

`350\\eq120`

therefore

the rectangles are not similar

case d) If the rectangles are similar, then

`(13)/(5.2)=(5)/(2.5)`

`2.5\\eq 2`

therefore

the rectangles are not similar