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PLEASE HELP URGENT CHALLENGING

PLEASE HELP URGENT CHALLENGING-example-1
User Jonathon
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1 Answer

5 votes

Answer:

Apply the SAS postulate (see details below).

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)

User Waqas Ali
by
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