1. Warm Up Real World Solid Figures List up to 5 objects found in the real world that have shapes of each of the following solid figures: Prism Cube Pyramid Cylinder Cone Sphere

2. The distance between any two points is the absolute value of the difference of the coordinates. If the coordinates of points A and B are a and b, then the distance between A and B is a - b or b - a. The distance between A and B is also called the length of AB, or AB. A ruler can be used to measure the distance between two points. A point corresponds to one and only one number on the ruler. This number is called a coordinate. Postulate 1-2-1: The points on a line can be put into a one-to-one correspondence with the real numbers.

3. Example: A B a b So, AB= a-b = b-a

4. Ex: What we CAN write: What we CAN’T write: Equal = Numbers AB Congruent Notes Shapes

5. Notes A B C D F G H

6. Classwork Write down every congruency statement. A B C D F G H

7. Notes Midpoint:The point on a segment that’s the same distance from both endpoints. D is the midpoint of BC H is the midpoint of FD A is the midpoint of DE

8. Notes - Midpoint Formula How do we find the exact center of a line segment? (7,8) (3,2)

9. (7,8) (3,2) (5,5) Notes - Midpoint Formula Let’s make it work for us.

10. Notes - Midpoint Formula How do we find the exact center of a line segment? Conjecture 1: Midpoint Conjecture If your points are and then your midpoint is:

11. (-9,2) (7,-6) (-1,-2) Notes - Midpoint Formula One more time.

12. Homework: p.17 #1-10 p.19 #36-39,42-44