Answer:
Well, we need a definition or length/width of the figure of it first, let me see what I can find, I'll leave it in my replies.
Step-by-step explanation:
<u>Let's consider the facts at hand</u>:
- By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
- ∠BEC = ∠DFC
- Sides BE = DF
<u>Based on the diagram, triangles BCE and triangles DCF are similar</u>
⇒ based on the Angle-Angle theorem
⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC
⇒ the two triangles are similar
Hope that helps!
<em>Definitions of Theorem I used:</em>
- <u><em>Vertical Angle Theorem: </em></u><em>opposite angles of two intersecting lines must be equal</em>
- <u><em>Angle-Angle Theorem:</em></u><em> if two angles of both triangles are equal, then the given triangles must be similar</em>
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The perimeter of the triangle would be B)18. the triangle's sides are equal and you can tell by the single lines on each side symbolizing that all the sides are equal. To find perimeter, you have to add all sides together, and in this case it is 6. When 6 is added three times, it equals 18, which is the answer.
I believe the correct answer is 2.
