# Chapter 5 Math Vocabulary

### 21 terms by acairo8

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Yeah this is for ze test on um like Wednesday that I personally failed...... yeah

### perpendicular bisector

A line that intersects a given segment at right angles and divides it into two equal parts

### perpendicular bisector theorem

If a point is on the perpendicular bisector of a segment, then the point equidistant from the endpoints of the segment.

### converse of perpendicular bisector theorem

If a point is equidistant to the endpoints of a segment, then it is on the perpendicular bisector.

### circumcenter

the point at where the perpendicular bisectors of a segment intersect

### circumscribed

the circumcenter of a triangle is the center of the ______ circle of the triangle

### circumcenter theorem

the circumcenter of a triangle is equidistant to the verticies of the triangle.

### angle bisector

a ray that divides an angle into two congruent angles

### angle bisector theorem

If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.

### converse of angle bisector theorem

If a point is in the interior of an angle and it is equidistant from the sides of the angle, then it lies on the bisector of the angle.

### incenter

Angle bisectors of a triangle intersect at a single point called an ________. The ______ is the center of the inscribed circle of the triangle.

### incenter theorem

the incenter of a triangle is equidistant to the sides of the triangle.

### altitude of a triangle

a segment from a vertex that is perpendicular to the opposite side.

### median of a triangle

a segment from a vertex to the midpoint of an opposite side.

### perpendicular bisector

a line perpendicular to a segment at the segments midpoint.

### centroid of a triangle

the point of concurrency of the three medians of a triangle

### circumcenter of a triangle

the point of concurrency of the three perpendicular bisectors of a triangle

### orthocenter of a triangle

the point of concurrency of the three altitudes of a triangle.

### midsegment of a triangle

a segment that joins the midpoints of two sides of a triangle.

### triangle midsegment theorem

If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and half its length

### triangle inequality theorem

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

### Pythagorean theorem

in any right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

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