Find the value of x and BC if

Find the value of x and BC if B is between C and D, CB = 2 x, BD = 4 x, and CD = 12. Problem of the Day

Section 1 -3 a Distance

Objectives Then Now You graphed points on the coordinate plane. Find the distance between two points.

Content Standards Common Core State Standards G. CO. 1 – Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notations of point, line, distance along a line, and distance around an arc. G. CO. 12 – Make formal geometric constructions with a variety of tools and methods. Mathematical Practices 2) Reason abstractly and quantitatively. 7) Look for and make use of structure.

The distance between two points is the length of the segment with those points as its endpoints. Vocabulary

Distance Formula (on a number line)

Example 1 Use the number line to find each measure. a) AC b) CE c) FB

Irrational Number: a number that cannot be expressed as a terminating or repeating decimal. Vocabulary

Distance Formula (in Coordinate Plane)

Distance Formula Continued

Find the distance between the pair of points. E(-5, 6) and F(8, -4) Example 2

Find the distance between the pair of points. J(4, 3) and K(-3, -7) Example 2

Find the distance between the pair of points. E(-4, 1) and F(3, -1) Example 2

Homework p. 30 #3 – 6, 19, 21, 23, 68