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Midpoint and Distance

Midpoint and Distance. May 6 th , 2013. Warm Up. Solve for x. −5(1 − 5 x ) + 5(−8 x − 2) = −4 x − 8 x 2. Factor. z 2 - z - 3 = 0 3. Factor. 2x 2 + 7x + 3. Vocabulary. Distance: is a numerical description of how far apart two points are

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Midpoint and Distance

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  1. Midpointand Distance May 6th,2013

  2. Warm Up • Solve for x. −5(1 − 5x) + 5(−8x− 2) = −4x − 8x 2. Factor. z2 - z - 3 = 0 3. Factor. 2x2 + 7x + 3

  3. Vocabulary • Distance: is a numerical description of how far apart two points are • Midpoint: divides a segment into two congruent pieces

  4. Points on a Coordinate Plane • What is a point? • How do you show a point’s location on the coordinate plane? • What comes first? A(x1, y1) B(x2, y2)

  5. Midpoint FORMULA • Number Line: • Coordinate Plane:

  6. Example • Calculate the midpoint of segment EB.

  7. You TryFind the Midpoint • L(0, 0), M(9, 3)

  8. You Try!Find the Midpoint 2 and 7

  9. Find the midpoint between C and D

  10. Distance Formula • Number Line: • Coordinate Plane:

  11. Example • Calculate the distance between D and A.

  12. You tryFind the distance • K(0, 5), L(7, 9)

  13. You Try Find the distance between C and D

  14. Finding Area and Perimeter • Use the distance formula to find the “area” and “perimeter” • The area for a square/rectangle is A = b•h • The area for a triangle is A = ½ b•h • For perimeter you ADD UP the distance of all the sides of the shape.

  15. Find the Area and Perimeter of Triangle RPQ .

  16. You Try • Find the area of the shape below.

  17. Find the Perimeter

  18. Homework Worksheet 1-7 Evens

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