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## CCSS

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**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. CCSS**You graphed points on the coordinate plane.**• Find the distance between two points. • Find the midpoint of a segment. Then/Now**distance**• irrational number • midpoint • segment bisector Vocabulary**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 3 Simplify. Answer: 3 Example 1**Use the number line to find AX.**Example 1**Switching both coordinates in the formula will give the same**result for the distance. See below. Concept**(x1, y1) = (–4, 1) and (x2, y2) = (3, –1)**Find Distance on a Coordinate Plane Find the distance between E(–4, 1) and F(3, –1). 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. Example 2**.**Find Distance on a Coordinate Plane Example 2**Find the distance between A(–3, 4) and M(1, 2) using the**distance formula. Example 2**Chapter 1 Overview Video**Distance and Midpoint Skills Packet Do 7 and 8 (find the distance only) Now let’s do the Reach test questions 1-3**Find Midpoint in Coordinate Plane**Answer:M(–3, 3) Example 4**Class Assignment - 8 minutes**Distance and Midpoint Skills Packet Do 4, 5 and 8 (Find the midpoint only)**(x2, y2) = (–5, –3)**Find the Coordinates of an Endpoint Let D be (x1, y1) and F be (x2, y2) in the Midpoint Formula. Write two equations to find the coordinates of D. Example 5**Midpoint Formula**Midpoint Formula Find the Coordinates of an Endpoint Answer: The coordinates of D are (–7, 11). Example 5**5 minutes**Skills Packet Do 9 and 10**UnderstandYou know that Q is the midpoint of PR, and the**figure gives algebraic measures for QR and PR. You are asked to find the measure of PR. Use Algebra to Find Measures Example 6**PlanBecause Q is the midpoint, you know**that Subtract 1 from each side. Use Algebra to Find Measures Use this equation and the algebraic measures to find a value for x. Solve Example 6**Original measure**Use Algebra to Find Measures Example 6