Three statements are given below: i. In a | gm, the angle bisecto… - Vidyadip

MCQ

Three statements are given below:
$i.$ In a $\| gm$, the angle bisectors of two adjacent angles enclose a right angle.
$ii.$ The angle bisectors of a $\| gm$ form a rectangle.
$iii.$ The triangle formed by joining the mid$-$points of the sides of an isosceles triangle is not necessarily an isosceles triangle.
Which is true?

A
$I$ only
B
$II$ only
✓
$I$ and $II$
D
$II$ and $III$

✓

Answer

Correct option: C.

$I$ and $II$

However, the triangle formed by joining the mid$-$point of the sides of an isosceles triangle is surely an isosceles triangle.
So, $III$ is false
Thus, $I$ and $II$ are true.

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