1. 1.3 – Use Midpoint and Distance Formulas &
Segment Constructions

2. Midpoint:
Point in the middle of a segment A M B
M is the midpoint of

3. Point, line, or segment that cuts a segment in half
Segment bisector: C A M B A M B
pt. M bisects D
bisects

4. Perpendicular:
Line that intersects at a right angle C A B D

5. Perpendicular bisector:
Perpendicular Line or segment that bisects a segment C A M B D

6. 1. Find the midpoint of A(2, 5) and B(2, -3).

7. 2. Find the midpoint of A(-3, 4) and B(7, 4).

8. 3. Find the midpoint of A(5, 8) and B(1, 2).

9. Midpoint Formula:
Remember! Your answer should be an ordered pair!

10. 4. Find the midpoint of A(-6, 2)and B(-2, -3).
midpt AB =

11. 17cm
17cm
DF =
34cm

12. 1 2 16
GJ = in

13. Find MF. 7x – 6 = 5x MF = 5(3) = 15u – 6 = -2x 3 = x
M is the midpoint of the segment. Find the indicated length.
Find MF.
7x – 6 = 5x
MF =
5(3) =
15u
– 6 = -2x
3 = x

14. Find LN. 11x – 21 = 8x + 15 LN = 11(12)-21 + 8(12)+15 3x – 21 = 15
M is the midpoint of the segment. Find the indicated length.
Find LN.
11x – 21 = 8x + 15
LN =
11(12) (12)+15
3x – 21 = 15
= 132 –
3x = 36
= 222u
x = 12

15. Distance:
Length of a segment

16. 7. Find AB.
A(2, 5) and B(2, -3).
AB =
5 – (-3) A
= 8
= 8u B

17. 8. Find AB.
A(-3, 4) and B(7, 4).
AB =
7 – (-3)
= 10 A B
= 10u

18. 9. Find AB.
A(5, 8) and B(1, 2).
= c2 A
= c2 c 6
52 = c2 4 B
= c
AB = u

19. Distance Formula: A c 6 4 B

20. 10. Find the midpoint and distance between A(-1, 2)and B(3, 4).
midpt AB = A B

21. 10. Find the distance between A(-1, 2)and B(3, 4).
(3 – (-1))2 +
(4 – 2)2
(4)2 +
(2)2 A B 16 + 4 u

22. The endpoints of two segments are given. Find each segment length
The endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent. Q P S R

23. (-2 – 2)2 + (0 – (-3))2 (-1 – 4)2 + (6 – 3)2 (-4)2 (-5)2 (3)2 + (3)2 +
The endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent.
(-2 – 2)2 +
(0 – (-3))2
(-1 – 4)2 +
(6 – 3)2
(-4)2
(-5)2
(3)2 +
(3)2 + 16 25 + 9 + 9
Not 