1. Geometry vocabulary WordDefinition PointIt is a location in space. It is represented by a dot and named by a capital letter Line1 dimension, going on and on forever It is represented by 2 connected points Plane2 dimensional flat surface. CircleAll points that are equidistant from a given point. Line segmentA portion of a line that includes two endpoints and everything between those two points.

2. How could I determine the length of the following line segment?

3. Does putting the line segment on a coordinate plane help determine its length?

5. Pythagorean theorem a 2 +b 2 =c 2 b a c

6. Could I determine a and b without the grids? How? a 2 +b 2 =c 2 (4-2) 2 + (5-1) 2 = c 2 √ (4-2) 2 + (5-1) 2 = c

7. Could I determine a and b without the grids? How? a 2 +b 2 =c 2 (4-2) 2 + (5-1) 2 = c 2 √ (4-2) 2 + (5-1) 2 = c

8. Important vocabulary Preimage Image Transformations(reflectio ns rotations, translations) Translations The original figure The transformed figure A movement of all the points of a figure in a plane according to a common operation Slide preserves distance and direction.

9. Translating a line segment The preimage AB was translated up 2 units. The endpoint coordinates for AB are(2,3)(6,1) What are the endpoint coordinates for A’B’

10. Translation practice Endpoints are A(5,-3) and B(7,4) If AB is translated 3 units to the right, what are the coordinates of the endpoints of A’B’? If AB is translated 4 units down what are the coordinates of the endpoints of A’B’?

11. Translation practice Endpoints are A(5,-3) and B(7,4) If AB is translated 3 units to the right and 4 units up, what are the coordinates of the endpoints of A’B’?

12. Translation practice The end points of AB are A(1,-3) B(4, 6) What are the new endpoints if this line is translated 4 units left and 2 units down.

13. I can find the midpoint of a line segment on a coordinate plane Just find the midpoint of the horizontal segment Then find the midpoint of the vertical segment Then put them together in an ordered pair.

14. Midpoint formula

15. Find the midpoints for the line segments with the following endpoints (1,7) (13,11) (4, -6) (12, 2) (5,120) (14, 80) (-12, 10) (-6,-4)

16. Midpoint (8,6) Endpoint (4,2) Other endpoint?

17. Midpoint (8,6) Endpoint (4,2) other endpoint

18. Find the missing endpoints Endpoint (5,-1) midpoint (2,5) Endpoint (18,12) midpoint (12,20) Endpoint (-6, 5) midpoint (2, -1) (-1,11) (6,28) (10, -7)

19. Why do I add to use the midpoint formula but subtract to use the distance formula?