Question

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.

Answer 1

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

Answer 2

Answer:

B. Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.

Step-by-step explanation:

right on edge