Question

ABCD is a square BX=BY. prove that 1. triangle DCX congruent to triangle DAY, 2. DY=DX,3. ANGLE X= ANGLE Y. in the pic don't consider the blue line.

Answer 1

heya dear frnd ,
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here is your answer,

given:. (1 ) ABCD is a square

(2) bx=by

to prove=(I)∆dcx=∆day✔
ii dy=dx✔
iii ∆x=∆y✔

we know, AB=BC= CD= AD
AB=BC✔✔
AY+BY=BX+CX
AY+BX=BX+CX
AY=CX✔✔✔

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solution
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statement
I AD=CD. (ALL SIDES OF SQUARE IS EQUAL)✔
|| ∆ADY=∆DCX (EACH 90°)✔
||| AY=CX. (PROVEN ABOVE)✔

∆DCX CONGRUENT TO ∆DAY (SAS, Axiom)✔

∆x=∆y (c.p.c.t.c)✔✔

dc=dy ( as the figure is CONGRUENT)✔
✔✔
hope it helps you

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Answer 2

Answer:

here is your answer

check the photo