1. Segment and Angle Bisectors
BIG IDEA: MEASUREMENT
ESSENTIAL UNDERSTANDINGS
Formulas can be used to find the midpoint of any segment in the coordinate plane.
To identify special angle pairs and use their relationship to find angle measures.
MATHEMATICAL PRACTICE
Make sense of problems and persevere in solving them

2. Getting Ready
In a video game, two ancient structures shoot light beams toward each other to form a time portal. The portal forms exactly halfway between the two structures. Your character is on the grid shown as a blue dot. How do you direct your character to the portal? Explain how you found your answer.

3. Bisect or dissect
Midpoint: a point that _______________ the segment into two _______________ segments.
Segment bisector: a line, segment, ray or plane that _______________ a segment at its _______________
Midpoint formula:

4. Bisecting a Segment
1. Find the coordinates of the midpoint of a segment with the given endpoints 2.

5. Bisecting a Segment
3. Find the coordinates of the other endpoint of the segment with the given endpoint and midpoint

6. Bisect or dissect
Angle Bisector: a ____________ that divides an angle into two _________________ angles. Its endpoint is at the angle ______________
is an angle bisector of Find the two angle measures not given in the diagram.
a) b)

7. Bisecting an Angle
bisects Find the value of x and the measure of the angles.

8. Bisecting an Angle
bisects The measures of the two congruent angles are and Solve for x and the measure of the angles.

9. 1.5 p. 38 4 – 12 evens, 18 – 32 evens, 38 – 54 evens, 62 – 72 evens
28 questions