Which of the following figures has a bisector?
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Which of the following figures has a bisector?
The answer is C because the angle bisector divides the angle into two equal angles. In diagram C, the angle bisector divides the right angle, which is equal to 90 degrees, into 2 angles that are equal to each other.
Look at the angles shown in the figure below.
What is their relationship?
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Look for equal angle measures on both sides of the line! In option C, both angles measure 45°, so , confirming it bisects the right angle.
In option A, the angles are 60° and 40° - these are not equal! In option B, the angles are 30° and 33° - also unequal. Only equal angles indicate a true bisector.
No! The angle measures depend on the original angle. A bisector of a 60° angle creates two 30° angles. A bisector of a 120° angle creates two 60° angles.
Yes! Every angle can be bisected, whether it's acute, right, obtuse, or reflex. The bisector always creates two angles that are exactly half the original angle.
A bisector has a special property: it creates two equal angles. Random lines through an angle usually create unequal angles, so they're not bisectors.
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