The triangle HJZ and triangle WJR are similar because theorem SAS similarity theorem option third 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 proportions and the corresponding angles are congruent.
We have two triangles:
Triangle HJZ and Triangle WJR
Angle HJZ = Angle WJR (vertically opposite angles)
The ratio of the adjacent sides:
[tex]\rm \dfrac{HJ}{JW}= \dfrac{ZJ}{JR} \\\\\dfrac{4}{8}= \dfrac{3}{6}= \dfrac{1}{2}[/tex]
The triangle HJZ and Triangle WJR are similar because theorem SAS similarity theorem.
Thus, the triangle HJZ and triangle WJR are similar because theorem SAS similarity theorem option third is correct.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
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