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Step-by-step explanation:
From ∆CDP and ∆ABQ
DC=AB
Angle P =Angle Q {each 90°}
PQ=PQ ( common)
Both the triangles are congruent, by SAS
By CPCT, DP=BQ
From ∆ADP & ∆CBQ
AD=BC(sides of rectangle are equal.)
DP=BQ(Above proved)
AP=CQ
Both triangles are congruent, By SSS
By CPCT, Angle ADP=Angle CBQ
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Answer:
from triangle CDP and triangle ABQ
DC = AB
Angle B = angle Q ( each 90°)
PQ=PQ( Common)
both triangle are congruent by CPCT
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