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15-5 Similar Figures and ProportionsNLesson Quiz: Part 11. Identify the correspondingsides in the pair of triangles,and use ratios to determine 14 cmwhether the triangles aresimilar.12 cm4 cm7 cmR56 cmPOLook at Slide 19.Identify the corresponding sides in the pair of triangles, and use ratios to determine whetherthe triangles are similar.(50 Points)SimilarNotSimilar

Sagot :

In order to identify if the triangles are similar, you first take into account the rect angle of the triangles. Form there you can notice that side ON in the bigger triangle, is similar to the side as RQ in the little one.

So, you calulate the proportion between sides ON and RQ, just as follow:

[tex]\frac{ON}{RQ}=\frac{8cm}{4\operatorname{cm}}=2[/tex]

Then, the proportion of those sides is 2. This proportion must be the same for the other similar sides of both traingles, in order to conclude that the triangle are similar.

[tex]\frac{PN}{QS}=\frac{14\operatorname{cm}}{7\operatorname{cm}}=2[/tex][tex]\frac{PO}{RS}=\frac{12\operatorname{cm}}{6\operatorname{cm}}=2[/tex]

Hence, the triangles are similar