CBSE Class 10-Mathematics: Chapter – 6 Triangles Part 12 (For CBSE, ICSE, IAS, NET, NRA 2022)
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Question 10:
In figure, DEFG is a square and , show that
Answer:
Given is right-angled at A and DEFG is a square
To prove
Proof: Let
Then,
Also is right-angled at D.
From (i) and (ii) , we get
Consider
But = DG = DE
Question 11:
In a quadrilateral ABCD, P, Q, R, S are the mid-points of the sides AB, BC, CD and DA, respectively. Prove that PQRS is a parallelogram.
Answer:
To Prove: PQRS is a parallelogram
Construction: Join AC
Proof: In
In
From (i) and (ii) , we get
Similarly, join B to D and