1. 1.1 Points, Lines, and Planes 1.3 Distance and Midpoints
First & Last Name
February 3, 2014
______Block
1.1 Points, Lines, and Planes 1.3 Distance and Midpoints

2. A point is simply a location.
A line is made up of points and has no thickness or width. Points on the same line are said to be collinear.
A plane is a flat surface made up of points. points that lie on the same plane are said to be coplanar. A plane has no depth and extends infinitely in all directions. Points are often used to name lines and planes.

3. 1. Use the figure to name each of the following.
a line containing point A
a plane containing point C E l D C B A N

4. 2. Draw and label a figure for each relationship.
a. Lines GH and JK intersect at L for G(-1, -3), H(2,3), J(-3, 2), and K(2, -3) on a coordinate plane. Point M is coplanar with these points, but not collinear with GH or JK.

5. b. TU ties in a plane Q and contains point R.

6. Space is a boundless, three-dimensional set of all points, space can contain lines and planes.
3. a. How many planes appear in this figure?
b. Name three points that are collinear.
c. Are points G, A, B, and E coplanar?
d. At what point do EF and AB intersect? D F G C B E A P

7. Distance Between Two Points
Number Line
PQ = |b–a| or |a–b|
Coordinate Plane
d= ( 𝑥 2 − 𝑥 1 ) 2 + ( 𝑦 2 − 𝑦 1 ) 2 P Q a b
(x1, y1)
(x2, y2)

8. 4. Use the number line to find CD.-5 1 D

9. 5. Find the distance between R(5, 1) and S(-3, -3).

10. The midpoint of a segment is the point halfway between the endpoints of the segment. If x is the midpoint of AB, then AX=XB.
Number Line: 𝑎+𝑏 2
Coordinate Plane: 𝑥 1 + 𝑥 2 2 , 𝑦 1 + 𝑦 2 2

11. 6. Find the coordinate of the midpoint of PQ.
-20 20 40

12. 7. Find the coordinates of M, the midpoint of PQ, for P(-1,2) and Q(6,1).

13. 8. Find the coordinates of X if Y(-2,2) is the midpoint of XZ and Z has coordinates (2, 8).

14. 9. What is the measure of BC if B is the midpoint of AC?
11+2x B
4x-5 A

15. Any segment, line, or plane that intersects a segment at its midpoint is called a segment bisector.

16. Exit Slip (Put at the very end of your notes)
Use the Distance Formula to find the distance between D(2, 0) and E(8, 6).
Find the coordinates of the midpoint of the segment having the endpoints X(-4, 3) and Y(-1, 5).
Turn your notes with exit slip into the correct box on the table near the door.
Draw and label a figure to show the relationship: A line in a coordinate plane contains X(3,-1), Y(-3, -4), and Z(-1, -3) and a point W that does not lie on XY.
Refer to the figure.
How many planes are shown in the figure?
Name three points that are collinear.
Are points A, C, D, and J coplanar? B K A J G C F H D E