Question

Complete the following statements:

a. If a point lies on the perpendicular bisector of$\overline{AB}$, then the point is equidistant from ___?

b. If a point lies on the bisector of$\angle RST$,then the point is equidistant from ___?

Short answer

a.$A\text{and}B$

b.$R\text{and}T$

Step-by-step solution

Step 1- Step description.

The perpendicular bisector of is perpendicular and passing through midpoint of $\overline{AB}$will be equidistant from both the endpoints.

Step 2- Step description.

The point lies on the perpendicular bisector of$\overline{AB}$is equidistance from the points A andB.

Step 3- Conclusion.

Therefore,the point lies on the perpendicular bisector of$\overline{AB}$is equidistance from the points AandB.

Step 1- Step description.

The angle bisector divides the angle in to two equal parts.

Step 2- Step description.

As the angle bisector divides the angle in to two equal parts so, the point lies on the bisector of $\angle RST$is equidistance from the points Rand.T

Step 3- Step description.

Therefore,the point lies on the bisector of $\angle RST$is equidistance from the points Rand.T