Question

Help, picture attached!

Answer 1

yes, with the info given it states that the sides listed are proportional

Answer 2

so how do I prove it though?

Answer 3

you prove it by saying the sides are proportional, for example: Triangle HZY is congruent to HJI by the triangle of HZY being exactly 1:2 smaller.

Answer 4

look at the measurement of corresponding sides and check that the ratio is always the same

look at the corresponding sides HY and HI HY = 3 and YI = 3

then HI = 6

the ratio of corresponding sides

\[\frac{HY}{HI} = \frac{3}{6} ... or ..... \frac{1}{2} \]

if the triangles are similar that ratio should be the same for the other corresponding sides

look at HZ and HJ HZ = 7 and HJ = 14

ratio

\[\frac{HJ}{HZ} = \frac{7}{14} .... or..... \frac{1}{2}\]

I'll leave it to you to show YZ and IJ are in the same ratio.

Hope this makes sense.

Answer 5

okay thank you !!!