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Notes Over 9 - 4 Drawing a Diagram 1. How many diagonals does a decagon have? Start with an easier diagram and notice any patterns. sides diag. 3 4 5 6 7 0 2 5 9 14 sides diag. 8 20 2 9 27 3 10 35 4 5 A diagonal is a line that can be drawn from one vertices to another. Notes Over 9 - 4 Drawing a Diagram 2. Jack climbed a set of stairs and stopped at the middle step. He then walked down 2 steps, up 4 steps, down 3 steps, and up 6 steps, and he was at the top of the stairs. How many steps are in the set of stairs? 5 4 3 2 1 5 4 3 2 1 middle Start at the middle and draw a picture. Pg 462 9 – 4 #1 – 3, 4 – 15 Solve by drawing a diagram. 1. A furniture delivery truck leaves the store at 8 A.M. It travels 6 miles east, then 4 miles south, then 2 miles west, and then 4 miles north. At the end of the route, how far is the truck from the store? 6 miles 4 miles 4 miles 4 miles to the east of the store 2 miles Pg 462 9 – 4 #1 – 3, 4 – 15 Solve by drawing a diagram. 2. Bill is older than Jim and younger than Jose. Jose is older than Chris and younger than Tandala. Chris is older than Jim. Bill is younger than Tandala. Chris is older than Bill. Who is youngest? Bill oldest Jim Jose Chris Tandala youngest Pg 462 9 – 4 #1 – 3, 4 – 15 Solve by drawing a diagram. 2. Bill is older than Jim and younger than Jose. Jose is older than Chris and younger than Tandala. Chris is older than Jim. Bill is younger than Tandala. Chris is older than Bill. Who is youngest? Jose oldest Bill Jim Chris Tandala youngest Pg 462 9 – 4 #1 – 3, 4 – 15 Solve by drawing a diagram. 2. Bill is older than Jim and younger than Jose. Jose is older than Chris and younger than Tandala. Chris is older than Jim. Bill is younger than Tandala. Chris is older than Bill. Who is youngest? Tandala oldest Jose Bill Jim Chris youngest Pg 462 9 – 4 #1 – 3, 4 – 15 Solve by drawing a diagram. 2. Bill is older than Jim and younger than Jose. Jose is older than Chris and younger than Tandala. Chris is older than Jim. Bill is younger than Tandala. Chris is older than Bill. Who is youngest? Tandala oldest Jose Bill Chris Jim youngest Pg 462 9 – 4 #1 – 3, 4 – 15 Solve by drawing a diagram. 3. Geometry How many triangles can you form in a hexagon if you draw all the diagonals from only one vertex? Pg 462 9 – 4 #1 – 3, 4 – 15