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In a right , right angled at , is the mid point of the hypotenuse of . is joined to  produced to a point such that . Point is joined to point . Then

This question has multiple correct options
A

B

is a right angle

C

D

Answer

Option A:
In and
....Since is the midpoint of the hypotenuse
.... Given
..... Vertically opposite angles
.... SAS Rule

Option B:
.... cpct
But these are the alternate angles and they are equal.
Now, and a transversal intersects, then
The sum of consecutive interior angles on the same sides of the tranversal is .
is a right angle.

Option C:
In and
.... Common side
... Proved
.... cpct
..... SAS Rule

Option D: 
.... Proved
.... cpct
....

Answered By

toppr

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