Answered

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In the diagram below, if side AB = 21, BC = 15, AC = 9, DE = 7, EF = 5, and DF = 3 then we can say that ___.

In The Diagram Below If Side AB 21 BC 15 AC 9 DE 7 EF 5 And DF 3 Then We Can Say That class=

Sagot :

Step 1

Given;

Step 2

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Since corresponding sides on the image are not the same in measurement, then the triangles are not congruent.

Thus;

[tex]\frac{AB}{DE}=\frac{AC}{DF}=\frac{BC}{EF}[/tex][tex]\frac{21}{7}=\frac{9}{3}=\frac{15}{5}=\frac{3}{1}[/tex]

Since. the ratio of the corresponding sides are the same, the answer will be;

[tex]The\text{ two triangles are similar by SSS}[/tex]

Answer; Option B

View image KonstantinaG658944
View image KonstantinaG658944
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