plz solve my maths problem
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TEXY is common to both parrallelograms
as it is a llgram
angle F is equal to angle Z
sides of llgram are equal
FX=EY
TX=ZY
hence by SAS congruence rule
both triangles are equal proved
as it is a llgram
angle F is equal to angle Z
sides of llgram are equal
FX=EY
TX=ZY
hence by SAS congruence rule
both triangles are equal proved
Anonymous:
plz also solve my one other question plz
hmm It is helpful for me
no one give me answer without u so I cannot mark ur answer
Answered by
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Given:XYZT and XYEF is a llgram
To prove: ar(XTF) = ar(YZE).
SOLUTION: In triangle XTF and YZE
angle XFT = angle YEZ ( CORRESPONDING ANGLE) (1)
angle FTX = angle EZY ( CORRESPONDING ANGLE) (2)
Therefore angle FXT = angle EYZ ( ANGLE SUM PROPERTY) (3)
Also FX = EY ( OPPOSITE SIDE OF llgram FEYX)
FXT congruent EYZ ( ASA RULE USING EQUATION 1,3 AND 4)
ar XTF = ar YZE ( CONGRUENT FIGURE HAVE EGUAL AREAS)
To prove: ar(XTF) = ar(YZE).
SOLUTION: In triangle XTF and YZE
angle XFT = angle YEZ ( CORRESPONDING ANGLE) (1)
angle FTX = angle EZY ( CORRESPONDING ANGLE) (2)
Therefore angle FXT = angle EYZ ( ANGLE SUM PROPERTY) (3)
Also FX = EY ( OPPOSITE SIDE OF llgram FEYX)
FXT congruent EYZ ( ASA RULE USING EQUATION 1,3 AND 4)
ar XTF = ar YZE ( CONGRUENT FIGURE HAVE EGUAL AREAS)
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