in quadrilateral ABCD, AD=BC. DP and CQ are perpendiculars on the segment AB from points D and C respectively. If DP=6 cm find the length of CQ.
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Answered by
10
Step-by-step explanation:
Here, ABCD is a quadrilateral, where DP and CQ are perpendiculars on the segment AB.
In △APD and △BQC
⇒ AD=BC [ Given ]
⇒ AP=QB [ Given ]
⇒ ∠APD=∠BQC [ Both are 90°]
∴ △APD≅△BQC [By SSA congruencebtheorem]
⇒ DP=CQ [ CPCT ]
⇒ DP=6cm [ Given ]
∴ CQ=6cm
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Answered by
1
Answer:
DP and CQ are equal...
Step-by-step explanation:
in triangle ADP & in triangle CBQ
AD = CB and AP =BQ
angle DPQ = CQP
angle DPA will be equal to angle CQB (angle sum property)
which made the triangles congurent.
DP and CQ are a part of the both triangle's so DP & CQ will be equal as the 2 triangle's are congurent.
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