# Angle and Segment Bisectors

Angles

## Vocabulary

Ray: a line that has a point at on end and goes on infinitely in the other direction Angle: Is made up of two rays with two sides that meet at a vertex Vertex: the point were two rays meet to create an angle Sides: Each ray is that makes up an angle is considered a side Right angle: two rays that meet to form 90 degrees Acute angle: two rays that meet to form less than 90 degrees Obtuse angle:Two rays that meet to form more than 90 degrees Contingent angle:Two angle that have the SAME measure Angle Bisector: A ray, line, or line segment, that divides an angle into two equal parts

## 1) Types of angles

What kind of angle is the above angle?

Select all that apply
• A
• B
• C

## 2) Types of Angles

Move point A in the angle above to create an obtuse angle

## Naming an angle

To name an angle, 3 points need to be included. One point from either side and the vertex. The vertex is always the middle point.

## 5) Naming an Angle

How do you name the above angle? Select all that apply

Select all that apply
• A
• B
• C
• D
• E
• F

## Section 2

Distance and Midpoint

## Vocabulary

Midpoint: the point on a segment that is halfway between the segment endpoints Segment Bisector: any segment line or plane that intersects a segment at it's midpoint Perpendicular Bisector: any segment, line, or plane that interests a segment and creates a right angle Distance of coordinates: when finding the distance of coordinates you will find the distance of x and of y Distance between two points: when finding the distance between two points you use the distance formula.

## 6)

Using the distance formula. What is the distance between the two points above? Show your work in the box below using the f(x) button **if it is available** Round your answer to the nearest thousandth (3 decimal places)

## 7) Use the distance tool on the line segment above

Select all that apply
• A
• B

## If you answer does not match

Explain why and show how to fix your work

## 8) Coordinate Distance

What is the distance between the coordinates? (distance between x values and y values?)

## Section 3

Finding bisectors and midpoints quickly using GeoGebra