Answer: Explained.
Step-by-step explanation: The explanations are as follows :
(7) Since GF is parallel to JK and FK and GJ are tranversals, so we have
∠GFK = ∠JKH,
∠FGK = ∠KJH (pairs of alternate interior angles) and
∠GKF = ∠JHK (vertically opposite angles).
Therefore, both the triangles are similar by AAA similarity rule.
(8) Here,
[tex]\dfrac{AN}{MP}=1,~\dfrac{AD}{PR}=\dfrac{4}{5}.[/tex]
Since the ratio of the corresponding sides are not proportional, so the triangles are not similar.
(9) Here,
[tex]\dfrac{PS}{RS}=\dfrac{SQ}{ST}=\dfrac{PR}{QT}=\dfrac{2}{3}.[/tex]
So, the triangles are similar by proportionality rule.
(10) Here,
[tex]\dfrac{RQ}{JK}=\dfrac{11}{16},~\dfrac{PR}{KL}=\dfrac{30}{45}=\dfrac{2}{3},~\dfrac{PQ}{JL}=\dfrac{2}{3}.[/tex]
Since all the ratios are not equal, so the triangles are not similar.
(11) Here , no angle of one triangle matches with the angle of the other triangle, so the given triangles are not similar.
(12) Here,
[tex]\dfrac{GH}{AC}=\dfrac{GK}{AB}=\dfrac{KH}{BC}=\dfrac{1}{2}.[/tex]
So, the triangles are similar by the proportionality rule.
Hence explained.
