Question

20. In the given figure, T and M are two points inside a parallelogram PQRS such that PT = MR and PT || MR. Then prove that (a) Delta PTR cong Delta RMP (b) RT || PM and RT = RM​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

GIVEN:-

T and M are two points inside a parallelogram PQRS.

PT = MR and PT || MR.

TO FIND:-

∆PTR = ∆RMP

RT || PM and RT = RM

CONCEPT USED:-

When the two angles of transversal lines are alternate interior then the lines are Parallel.

When two triangles are Congurent then Corresponding part of Congurent triangles are also equal.

Now,

In ∆PTR and ∆RMP.

(Alt.int.angle).

(Given).

(common sides).

So, By S-A-S Congurence criteria ∆PTR ≈ ∆RMP.

Therefore,

(By CPCT)

(Concept Used).

MORE TO KNOW

There are 5 Congurency Criteria.

S - A - S = Side angle side.

A - S - A = Angle Side Angle

A - A- S = Angle Angle Side

R- H - S = Right Hand Side.

S - S - S = Side Angle Side.