In the diagram below, ZGRS - ZART, GR = 36, SR = 45, AR = 15, and RT = 18. G 36 А 15 R S T 45 18 Which triangle similarity statement is correct? A AGRS ~AART by AA B AGRS ~AART by SAS C AGRS - AART by SSS D) AGRS is not similar to A ART.

The triangle GRS is not similar to the triangle ART because the ratio of the corresponding sides is not in the same proportion option (D) is correct.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same propertions and the corresponding angles are congruent.

We have two triangles:

ΔGRS and ΔART in which:

GR = 36 units, SR = 45 units, AR = 15 units, and RT = 18 units

To check the similarity take the ratio of the corresponding sides.

[tex]\frac{36}{15} =\frac{45}{18}[/tex] (after simplification)

[tex]\frac{12}{5} \neq \frac{15}{6}[/tex]

As we can see the ratio of the corresponding sides is not in the same proportion.

Thus, the triangle GRS is not similar to the triangle ART because the ratio of the corresponding sides is not in the same proportion option (D) is correct.

Learn more about the similarity of triangles here:

https://brainly.com/question/8045819

In the diagram below, ZGRS - ZART, GR = 36, SR = 45, AR = 15, and RT = 18. G 36 А 15 R S T 45 18 Which triangle similarity statement is correct? A AGRS ~AART by AA B AGRS ~AART by SAS C AGRS - AART by SSS D) AGRS is not similar to A ART.​

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What is the similarity law for triangles?

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In the diagram below, ZGRS - ZART, GR = 36, SR = 45, AR = 15, and RT = 18. G 36 А 15 R S T 45 18 Which triangle similarity statement is correct? A AGRS ~AART by AA B AGRS ~AART by SAS C AGRS - AART by SSS D) AGRS is not similar to A ART.