contestada

Select the postulate or theorem that you can use to conclude that the triangles are similar

AA Similarity Postulate

SAS Similarity Theorem

SSS Similarity Theorem

Select the postulate or theorem that you can use to conclude that the triangles are similar AA Similarity Postulate SAS Similarity Theorem SSS Similarity Theore class=

Respuesta :

choixongdong
4/2 = 6/3 =2
<M=<M

answer
SAS Similarity Theorem
boffeemadrid

Answer:

(B) SAS Similarity Theorem

Step-by-step explanation:

Given: The two triangles GMK and PMS and GM=3, MS=6, PM=4 and MK=2

To find: The similarity postulate in order to prove two triangles are similar.

Solution: From the two triangles,using the proportionality condition, we have

[tex]\frac{GM}{MS}=\frac{KM}{MP}[/tex]

Substituting the given values,. we get

[tex]\frac{3}{6}=\frac{2}{4}=\frac{1}{2}[/tex]

Thus, the proportionality condition holds.

Now, from ΔGMK and ΔPMS, we have

[tex]\frac{GM}{MS}=\frac{KM}{MP}[/tex] (Proved above)

∠GMK=∠PMS (Vertically opposite angles)

Hence, by SAS similarity theorem, ΔGMK is similar to ΔPMS.

Hence, option (B) is correct.