From the diagram below, given the side lengths marked, and if we know that < C is congruent to < E, we can say that ___.

Mathematics

1 answer:

Lana71 [14]2 years ago

5 0

Since we know that <C is congruent to <E, we can say that: A. the two triangles are similar by SAS.

<h3>The properties of similar triangles.</h3>

In Geometry, two triangles are similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.

Ratio = BC/AC = 6/3 = 2.

Ratio = FE/DE = 4/2 = 2.

Thus, the ratio of their corresponding sides are equal in magnitude i.e BC/AC ≡ FE/DE.

Since we know that <C is congruent to <E, we can say that the two triangles are similar by side, angle, side (SAS) criterion.

Read more on congruency here: brainly.com/question/11844452

#SPJ1

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a. $\mathbf{AE = 3.9 $ cm}\\\\$

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See the image in the attachment for the referred diagram.

The two triangles, triangle AEC and triangle BDC are similar triangles.
Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

This implies that: