In the middle of the city, there was a park ABCD in the shape of a parallelogram formso that AB = CD AB II CD and AD = BC Municipality converted this park into arectangle by adding triangular shaped land. Both the triangular shaped land APD andBCQ were covered with plants.
Answers
Answer:
hi
Step-by-step explanation:
(i) What is the value of x ?
Answer :- (b) 70°
Explanation :-
→ By linear pair ( 180° - 110° = 70° )
(ii) Δ APD and Δ BCQ are congruent by which criteria ?
Answer :- (b) SAS
Explanation :-
→ AD = BC (Given)
→ AP = CQ ( Opposite sides of a rectangle are equal )
→ (90° each)
Δ APD ≈ Δ BCQ
(iii) PD is equal to which side ?
Answer :- (d) BQ
Explanation :-
→ By CPCT ( In Δ APD and Δ BCQ )
(iv) Δ ABC and Δ ACD are congruent by which criteria ?
Answer :- (a) SSS
Explanation :-
→ AB = CD (Given)
→ AD = BC (Given)
→ AC = AC (Common)
Δ ABC ≈ Δ ACD
(v) What is the value of m ?
Answer :- (d) 20°
Explanation :
According to angle sum property of triangle,
Answer: I don't know
Step-by-step explanation: