Prove that isosceles triangle ABC and BCD are congruent that is triangle triangle ABC is congruent to triangle BCD
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Answers
Step-by-step explanation:
you can use the side, angle, side theorem to prove that triangle ABC is congruent to triangle DCB.
Given:
Line AB is congruent to line CD
Ling AB is parallel to line CD
Proof:
This gives something like this:
C D
---------\------------------- line CD
/ \ /
/ \ /
------------\---------------- line AB
A B
Since lines AB and CD are parallel, line BC becomes a transversal of the parallel lines.
Side 1: Given AB congruent to CD.
Angle: Angle ABC congruent to Angle BCD, alternate interior angles of a transversal through parallel lines are congruent.
Side 2: CB is congruent to CB, reflex property of congruent lines.
Therefore, triangle ABC is congruent to triangle DCB.
sorry i am little confused