Question

https://static.k12.com/nextgen_media/assets/8095118-NG_GMT_NP024_299.jpg

Is △FHK similar to △GHJ ? If so, which postulate or theorem proves these two triangles are similar?

A.​ △FHK ​ ​ is similar to ​ ​ △GHJ ​ ​ by the ​ ​ SSS Similarity Theorem ​.

B.​ △FHK ​ ​ is similar to ​ ​ △GHJ ​ ​ by the ​ SSA Similarity Theorem ​.

C.​ △FHK ​ ​ is similar to ​ ​ △GHJ ​ ​ by the ​ ​ ​ SAS Similarity Theorem .

D.​ △FHK ​ ​ is not similar to ​ ​ △GHJ ​​.

Answer 1

@Shadow

Answer 2

Side-Side-Side (SSS) Similarity Theorem - If the lengths of the corresponding sides of two triangles are proportional, then the triangles must be similar.

\(\frac{FH}{GH}=\frac{HK}{HJ}\)

\(\frac{22}{10}=\frac{33}{15}\)

\(2.2=2.2\)

Thus,the lengths of the corresponding sides of two triangles are proportional.
Therefore,the triangles are similar.

Hope,this helps.

Answer 3

it's C ?

Answer 4

@MARC

Answer 5

Nope,good try tho XD

Hint :
Side-Side-Side (SSS) Similarity Theorem - If the lengths of the corresponding sides of two triangles are proportional, then the triangles must be similar.

Since,we were able to prove that the lengths of triangle FHK and triangle GHJ are proportional ,therefore both the triangle must be similar.

Answer 6

The Side Angle Side postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

pssss,we weren't given any information about the angles of \(\triangle~FHK~~~and~~~\triangle~GHJ\)

Answer 7

http://prntscr.com/m4qcc3

Answer 8

I Can't see it sorry

Answer 9

we weren't given any information about the angles of those triangles
meaning to say \(SAS~theorem~~~and~~~SSA~theorem\) is not applicable for both the triangles

Answer 10

When two triangles have corresponding angles that are congruent and corresponding sides with identical ratios, that would mean that the triangles are similar.

Answer 11

Option D is wrong
Because both the triangles are similar

Answer 12

wait,let me check again
Hmmm

Answer 13

ah,u r right
SSS theorem is not applicable because they didnt give all the sides

SAS theorem is applicable although they didnt give the angle,but from the diagram it looks like both the triangles of the angle are congruent

Answer 14

ok i hope you thought i was right

Answer 15

NOTE: Figures are not drawn to scale.

https://static.k12.com/nextgen_media/assets/1582624-IM2_150227_2_Q018Q.jpg

Which triangle is ​△ABC​ similar to and why?

A. △ABC is similar to △GHI by ​ AA Similarity Postulate .

B. △ABC is similar to △JKL by ​ AA Similarity Postulate ​.

C. △ABC is similar to △DEF by ​ AA Similarity Postulate ​.

D. ​△ABC​ is not similar to any of the triangles given.

Answer 16

\(\color{#0cbb34}{\text{Originally Posted by}}\) @bill533
ok i hope you thought i was right
\(\color{#0cbb34}{\text{End of Quote}}\)
u r answer is correct :)

Answer 17

u might wanna make a new thread >.<

Answer 18

ok