Three statements are given below: 1. In a || gm, the angle bisectors of two adjacent angles enclose a right angle. 2. The angle bisectors of a || gm form a rectangle. 3. The triangle formed by joining the mid-points of the sides of an isosceles triangle is not necessarily an isosceles triangle. Which is true? 1. I only 2. II only 3. I and II 4. II and III

Three statements are given below: 1. In a || gm, the angle bisect…

Question

Three statements are given below:

In a || gm, the angle bisectors of two adjacent angles enclose a right angle.
The angle bisectors of a || gm form a rectangle.
The triangle formed by joining the mid-points of the sides of an isosceles triangle is not necessarily an isosceles triangle.

Which is true?

✓

Solution:

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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