Unit 1Segments

Ms. HoughtonGeometry Honors Fall 2014

Vocabulary

• Midpoint of a Segment

• Segment Bisector

• Perpendicular bisector

• Congruent Line Segments

• Duplicate a Line Segment

• Distance Formula

• Segment Addition

• Midpoint Formula

• Construction

Midpoint FormulaWhy is there no midpoint of line? What about a ray?

Find the midpoint of the following:1a) (2, 5) and (8, 8) 1b) (-3, 8) and (2, -4)

1c) (0, 0) and (0, 8) 1d) (3, 6) and (8, 6)

Given the following points: A(3,2) B(5,5) C(7,8)

D(-6,4) E(-3,7) F(-4,-6)G(-8,-8) Q(6,-5) P(9,-9)

2) Find the midpoint of: AB PE FA

3) Find the other endpoint of the line segment given:

a) Endpoint P and Midpoint Qb) Endpoint A and Midpoint Cc) Endpoint C and Midpoint G

Distance FormulaGives us the ability to measure on the Cartesian plane (aka a coordinate plane)

Here’s the formula:

Find the distance between the following:

4) (3, 2) and (5, 1) 5) (-2, 7) and (4, -2)

6) (1, 4) and (1, 7) 7) (3, 6) and (-4, 6)

What do you notice with points that have the same x-value? Same y-value?

Given the following points: A(3,2) B(5,5) C(7,8)

D(-6,4) E(-3,7) F(-4,-6)G(-8,-8) Q(6,-5) P(9,-9)

8) Find the points that are:a) The farthest apartb) The closest togetherc) Two segments that are congruent

Segment Addition PostulateThe Segment Addition Postulate states:If point B is on segment AC and between points A and C, then AB + BC = AC

9) What do you think this postulate means?

10) Determine the measurement of line segment AB, where point X is between point A and point B.

11) Determine the x-value, where the measurement of line segment AC is 62 units.