Consider the two triangles. how can the triangles be proven similar by the sas similarity theorem? show that the ratios are equivalent, and ∠u ≅ ∠x. show that the ratios are equivalent, and ∠v ≅ ∠y. show that the ratios are equivalent, and ∠w ≅ ∠x. show that the ratios are equivalent, and ∠u ≅ ∠z.

Consider two triangles Δ U V W and Δ X Y Z

If these are two triangles having vertices in the same order ,

Then to prove →→ Δ U V W ~ Δ X Y Z , By S A S

We must show, the ratio of Corresponding sides are equivalent and angle between these two included corresponding sides are also equal.

Option 1 is correct , because ratios are equivalent, and ∠U≅∠X.As X is in the beginning of ΔX Y Z , Similarly U is in the beginning of Δ U V W.

Option 2 is correct , because ratios are equivalent, and ∠Y≅∠V. As Y is in the middle of ΔX Y Z , Similarly V is in the middle of Δ U V W.

Option 3 is not true, ratios are equivalent, but ∠W ≅ ∠X should be replaced by ∠W≅∠Z.

Option 4 is not true, because ratios are equivalent, and ∠U ≅ ∠Z should be replaced by ∠U≅∠X

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