MATH SOLVE

5 months ago

Q:
# Consider the two triangles.How can the triangles be proven similar by the SAS similarity theorem?Show that the ratios XY/VU and YZ/VW are equivalent, and ∠U ≅ ∠X.Show that the ratios UV/XY and WV/ZY are equivalent, and ∠V ≅ ∠Y.Show that the ratios UW/ZX and XY/WV are equivalent, and ∠W ≅ ∠X.Show that the ratios XZ/WU and ZY/WV are equivalent, and ∠U ≅ ∠Z.

Accepted Solution

A:

Answer:Show that the ratios UV/XY and WV/ZY are equivalent, and ∠V ≅ ∠Y.Step-by-step explanation:we know thatSAS Similarity Theorem, States that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similarIn this problem there are 3 ways that the triangles be proven similar by the SAS similarity theorem1) ∠U≅∠X and UV/XY=UW/XZ 2) ∠W≅∠Z and UW/XZ=WV/ZY3) ∠V≅∠Y and UV/XY=WV/ZYthereforeShow that the ratios UV/XY and WV/ZY are equivalent, and ∠V ≅ ∠Y.