Students were asked to answer a question at academics and to say what is most important for them to succeed. One which response stood out from the rest was practice. Successful people absolutely not born successful; they become successful from hard work and persistence. If you want to fulfill your goals, keep this in mind! in this article, some question and answer examples that you may implement to improve your knowledge and gain insight that will assist you to keep up your school studies.

## Question:

Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin by drawing line segments (“DE” ) ̅ and (“EF” ) ̅. Then construct the perpendicular bisectors of (“DE” ) ̅ and (“EF” ) ̅, and name the point of intersection of the perpendicular bisectors O. How do you know that point O is the center of the circle that passes through the three points?

## Answer:

The **perpendicular **from the **center **to a **secant **of a circle will **bisect **the secant. The **intersection **of perpendicular bisectors will be the **center **of the **given circle **passing through D, E, and F.

**Points D**, **E**, and **F **are not in a line. It is required to **construct **a **circle **through points D, E, and F.

The given **construction steps **are:

- Draw
**line segments**(“DE” ) and (“EF” ). - Construct the
**perpendicular bisectors**of (“DE” ) and (“EF” ). - Name the point of
**intersection**of the perpendicular bisectors**O**.

The point **O **will be the **center **of the **circle **passing through the points D, E, and F.

The above conclusion is because the **perpendicular **from the **center **to a **secant **of a circle will **bisect **the **secant**. Here, both the **perpendicular bisectors **will pass through the **center of **the **circle **and hence, their **intersection **will be the center of the given circle passing through D, E, and F.

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From the answer and question examples above, hopefully, they can guide the student take care of the question they had been looking for and take notice of all the stuff stated in the answer above. You may then have a discussion with your classmate and continue the school learning by studying the question mutually.