Sarthaks Test
0 votes
1.4k views
in Mathematics by (7.9k points)

In Fig. 10.99, AD ⊥ CD and CB ⊥. CD. If AQ = BP and DP = CQ, prove that ∠DAQ = ∠CBP.

1 Answer

0 votes
by (13.1k points)
selected by
 
Best answer

Given that, in the figure AD⊥CD and CB⊥CD. AQ = BP and DP = CQ

We have to prove that ∠DAQ=∠CBP

Now, consider triangle DAQ and CBP,

We have

So, by RHS congruence criterion,

we have ΔDAQ≅ΔCBP

Now,

∠DAQ=∠CBP  [∵ Corresponding parts of congruent triangles are equal]

∴ Hence proved

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...