Question

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. ​

Answer 1

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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Answer 2

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.