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

Answer:

6 cm

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

o

. ]

∴ △APD≅△BQC [ By SSA congruence theorem ]

⇒ DP=CQ [ CPCT ]

⇒ DP=6cm [ Given ]

∴ CQ=6cm

Answer 2

Answer:

CQ=6cm

Step-by-step explanation:

In △APD and △BQC

=  AD=BC [ Given ]

=  AP=QB [ Given ]

= ∠APD=∠BQC  [ Both are 90  degree]

= △APD≅△BQC  [ By SSA congruence theorem ]

=  DP=CQ [ CPCT ]

=  DP=6cm[ Given ]

= CQ=6cm