14.1 and 14.2.notebook. March 07, Module 14 lessons 1: Distance on a coordinate Plane Lesson 2: Polygons in the Coordinate Plane
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1 Module 14 lessons 1: Distance on a coordinate Plane Lesson 2: Reflection: a transformation of a figure that flips across a line Objectives: solve problems by graphing using coordinates and absolute value to find distances Find the length of a side on a polygon Mar 7 6:54 AM Mar 7 6:57 AM Solving distance problems Reflection Reflection Point over y over x axis axis (3, 2) (3,5) 1. Identify the ordered pairs 2. Determine if the x or y values have changed 3. find the absolute value 4. Add ( 2,6) ( 3,7) Mar 7 7:00 AM Mar 7 7:08 AM Find each distance. A and point B? The coordinate plane represents a map. Each grid unit represents 20 miles. A gas station is located at G( 70, 10). How long will it take a truck driving at 50 miles per hour to drive from warehouse M to this gas station? C and point D? 1/4 2/4 1
2 1. The point ( 9, 2) is reflected across the x axis. What are the coordinates of the reflection? 3. What is the distance between the points ( 7, 5) and ( 7, 8)? 2. What is the distance between the points (8, 4) and ( 5, 4)? 4. A truck travels from warehouse A at ( 4, 8) to warehouse B at ( 4, 1). If each unit represents 20 miles and the truck is traveling 60 miles per hour, how long will it take the truck to travel this distance? 3/4 4/4 Polygons in the coordinate plane Complete page 404 numbers 1 8 Polygon: a closed figure formed by three or more line segments that meet at their endpoints Vertex: is the point where two sides of a polygon meet. Mar 7 7:13 AM Mar 7 7:13 AM Additional Example 1 The grid shows the path Lisa followed when she walked from her home (0, 1) to various locations and back home again. If each grid square represents one block, how many blocks did Lisa walk? Additional Example 2 The vertices of a polygon are A(0, 0), B(2, 2), C(2, 6), D(7, 6), E(7, 2), and F(9, 0). Graph the polygon. Then find its area. 1/5 2
3 1. The vertices of a polygon are A(0, 4), B(5, 4), C(5, 3), and D(0, 3). Graph the vertices and connect them in order. What is the perimeter of the polygon? 2. The vertices of a polygon are A(4, 3), B(1, 2), C(1, 6), D(7, 6), and E(7, 2). Graph the polygon. What is the area of this polygon? 3/5 4/5 3. The vertices of a quadrilateral are M( 4, 2), N(6, 2), P(6, 4), and Q( 4, 4). Graph the quadrilateral. Then find the perimeter and area. 5/5 Mar 7 6:53 AM Additional Example 1 Find each distance. A A and point B? 7 units Additional Example 2 The coordinate plane represents a map. Each grid unit represents 20 miles. A gas station is located at G( 70, 10). How long will it take a truck driving at 50 miles per hour to drive from warehouse M to this gas station? 0.4 hour, or 24 minutes B C and point D? 3 units 1/4 2/4 3
4 1. The point ( 9, 2) is reflected across the x axis. What are the coordinates of the reflection? ( 9, 2) Additional Example 1 The grid shows the path Lisa followed when she walked from her home (0, 1) to various locations and back home again. If each grid square represents one block, how many blocks did Lisa walk? 22 blocks 2. What is the distance between the points (8, 4) and ( 5, 4)? 13 units 3/4 1/5 Additional Example 2 The vertices of a polygon are A(0, 0), B(2, 2), C(2, 6), D(7, 6), E(7, 2), and F(9, 0). Graph the polygon. Then find its area. 34 square units 1. The vertices of a polygon are A(0, 4), B(5, 4), C(5, 3), and D(0, 3). Graph the vertices and connect them in order. What is the perimeter of the polygon? 24 units 3/5 2. The vertices of a polygon are A(4, 3), B(1, 2), C(1, 6), D(7, 6), and E(7, 2). Graph the polygon. What is the area of this polygon? 39 square units 3. The vertices of a quadrilateral are M( 4, 2), N(6, 2), P(6, 4), and Q( 4, 4). Graph the quadrilateral. Then find the perimeter and area. P = 32 units; A = 60 square units 4/5 5/5 4
5 3. What is the distance between the points ( 7, 5) and ( 7, 8)? 3 units 4. A truck travels from warehouse A at ( 4, 8) to warehouse B at ( 4, 1). If each unit represents 20 miles and the truck is traveling 60 miles per hour, how long will it take the truck to travel this distance? 3 hours 4/4 5
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