1. CCSS Content Standards G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Mathematical Practices 2 Reason abstractly and quantitatively. 7 Look for and make use of structure.

2. Then/Now You graphed points on the coordinate plane. Find the distance between two points. Find the midpoint of a segment.

3. Vocabulary distance irrational number midpoint segment bisector

4. Concept

5. Example 1 Find Distance on a Number Line Use the number line to find QR. The coordinates of Q and R are –6 and –3. QR= | –6 – (–3) |Distance Formula = | –3 | or 3Simplify. Answer: 3

6. Example 1 Use the number line to find AX.

7. Concept Switching both coordinates in the formula will give the same result for the distance. See below.

8. Example 2 Find Distance on a Coordinate Plane Find the distance between E(–4, 1) and F(3, –1). (x 1, y 1 ) = (–4, 1) and (x 2, y 2 ) = (3, –1)

9. Example 2 Find Distance on a Coordinate Plane CheckGraph the ordered pairs and check by using the Pythagorean Theorem. Draw a sketch of this graph on your paper.

10. Example 2 Find Distance on a Coordinate Plane.

11. Example 2 Find the distance between A(–3, 4) and M(1, 2) using the distance formula.

12. Chapter 1 Overview Video Distance and Midpoint Skills Packet Do 7 and 8 (find the distance only)