Question

NEED HELP ASAP

Answer 1

Answer:

Part 1) Triangle GHI, JKL

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

Step-by-step 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

$\frac{4}{24}=\frac{3}{7}=\frac{5}{25}$

but

$0.17 \neq 0.43 \neq \ 0.20$

therefore

Triangle GHI is not similar to triangle ABC

case b) triangle DEF

If ABC and DEF are similar

then

$\frac{4}{44}=\frac{3}{33}=\frac{5}{55}$

$0.09=0.09=0.09$

therefore

Triangle DEF is similar to triangle ABC

case c) triangle MNO

If ABC and MNO are similar

then

$\frac{4}{10}=\frac{3}{7.5}=\frac{5}{12.5}$

$0.4=0.4=0.4$

therefore

Triangle MNO is similar to triangle ABC

case d) triangle JKL

If ABC and JKL are similar

then

$\frac{4}{21}=\frac{3}{20}=\frac{5}{29}$

$0.19 \neq 0.15 \neq 0.17$

therefore

Triangle JKL is not similar to triangle ABC

Part 2)

case a) If the rectangles are similar, then

$\frac{40}{8}=\frac{15}{3}$

$5=5$

therefore

the rectangles are similar

case b) If the rectangles are similar, then

$\frac{18}{4.5}=\frac{6}{1.5}$

$4=4$

therefore

the rectangles are similar

case c) If the rectangles are similar, then

$\frac{1,225}{3.5}=\frac{144}{1.2}$

$350\neq120$

therefore

the rectangles are not similar

case d) If the rectangles are similar, then

$\frac{13}{5.2}=\frac{5}{2.5}$

$2.5\neq 2$

therefore

the rectangles are not similar