Learning Objectives:

__Math Tutoring on Segments Midpoints__

*Equal versus Congruent*

**Equal** is used with measurement. **Congruent** is used with figures. If two figures are **Congruent**, they are the same shape and same size.

*Midpoints:*

A **Midpoint** is a point on a line segment that divides the segment into two congruent segments.Every segment has exactly one **Midpoint.**

*Determining the Midpoint of a Segment:*

1. Use a **ruler****.**Determine the length of the segment and mark off half the distance.

2. If the segment is on the coordinate plane,we can use the formula

If the endpoints of the segment are ** **and **.**

3. Using a compass we can use a construction to determine the **Midpoint.**

*Perpendicular Bisector*

A **Perpendicular Bisector** is a line, ray or segment that passes through the midpoint of a segment and forms a right angle with the segment.There are infinitely many segment bisectors through the midpoint. However, there is only one **Perpendicular Bisector** through the midpoint.

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**Hook Questions:**

*1. **Why we use **Equal and Congruent?*

*2. **What is **Midpoint?** How to determine **Midpoint?*

*3. **What is **Perpendicular Bisector?*

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