Find the Midpoint of Segments Given Expressions

Write a plan for the proof.  Given: G is the midpoint of HF Prove: △GHJ≅△GFO

• Find the coordinates of G using the Midpoint Formula
  Use these coordinates and the Distance formula to show that OG ≅ JG.
  Show that HG≅ FG by the definition of midpoint and ∠HGJ ≅ ∠FGO by the Vertical Angles Congruence Theorem.
  

• Find the coordinates of G using the Distance Formula
  Use these coordinates and the Midpoint formula to show that OG ≅ JG.
  Show that HG≅ FG by the definition of midpoint and ∠HGJ ≅ ∠FGO by the Vertical Angles Congruence Theorem.

• Then, use the SAS Congruence Theorem to conclude that △GHJ ≅ △GFO.

• Then, use the SSS Congruence Theorem to conclude that △GHJ ≅ △GFO.

• 11

• 22

• 5.5

• 3.67

If T is the midpoint of SU, find x.

• 3

• 4

• 5

• 2

RM=

• RM=6

• RM=3

• RM=12

• RM=9

Line e is a segment bisector of AB at point M. If AM = 4n-40 & MB = 7(-2n+2), find the value of n.

• 7

• 3

• 5

B is the midpoint of AC.  Find AB.

• 2

• 16

• 8

• 4

The midpoint of a line segment ......

• Cuts the segment into two congruent segments

• Splits the segment into two pieces

• Is a line that goes through the segment

• Is half the segment

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

• (-4,8)

• (18,22)

• (3,1)

• (-5,-7)

Find the midpoint:

What is the midpoint between (-4,4) and (-2,2)?

• (3,2)

• (-3,3)

• (4,5)

• (6,7)