lion31
lion31 lion31
  • 02-12-2018
  • Mathematics
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PLEASE HELP URGENT CHALLENGING

PLEASE HELP URGENT CHALLENGING class=

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remotecontrolbrain
remotecontrolbrain remotecontrolbrain
  • 03-12-2018

Answer:

Apply the SAS postulate (see details below).

Step-by-step explanation:

(1) because triangles ABC and BCD share one side BC, both are right-angled, and we are given that |AC|=|BD|, by the Pythagorean theorem, we know that also the third sides are congruent: |AB|=|CD|.

(2) By application of the SAS postulate, where the two sides |AB|=|CD|, |CB|=|CB|, and the included angle <ABC=<CBD, it follows that the triangles ABC and BCD are congruent.  

(I am using |..| notation for length of a segment)

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