Question

CHOOSE WHICH IS CORRECT

If a ray cuts an angle into two smaller, congruent angles, then it is an angle
bisector.

A) If a ray cuts an angle into two smaller, congruent angles, then it isn't an angle bisector.

B) If a ray is an angle bisector.
it cuts an angle into two smaller, congruent angles.

C) If a ray doesn't cut an angle into two smaller, congruent angles,then it isn't an angle bisector.

D) If a ray isn't an angle bisector, then it doesn't cut an angle into two smaller, congruent angles.

Answer 1

If a ray is an angle bisector,  then it cuts an angle into two smaller, congruent angles.

For better understanding, let us explain what the statement means

• This statement 'If a ray cuts an angle into two smaller, congruent angles, then it is an angle" can be rewritten as the answer above but not like the other options because it will end up contradicting itself.

• That is because a ray (one ray) is an angle bisector and if it has to change, it then have to change to two which is then called an angle trisector ( Two rays that divide an angle into three congruent angles does trisect the angle) so it will no longer be one but two and then that we change the statement completely. so we have to go with the second options in the picture shown.

From the above, we can therefore say that the answer If a ray is an angle bisector,  then it cuts an angle into two smaller, congruent angles, is correct

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