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Warm Up

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. A ruler can be used to measure the distance between two points. A point corresponds to one and

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Warm Up

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  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. 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. 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.

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

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

  5. Notes H B D A C G F

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

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

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

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

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

  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

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