Ext 6-8 Sampler

57 FindingDistanceBetweenTwoPoints Grade8 PartB Part B 81 ©Math Teachers Press, Inc., Reproduction by anymeans is strictly prohibited. This is amap of Tao's city.The distance between two gridlines is 1mile.How far is Tao's home from themovie theater? The distance betweenTao's home and the movie theater is approximately ______miles. FindingDistanceBetweenTwoPoints on aCoordinate Plane The PythagoreanTheorem can be used to find the distance between two points on an xy -coordinate plane. PythagoreanTheorem: leg 1 2 + leg 2 2 = hypotenuse 2 ______+______= _____________ ______=_____________ Use thePythagoreanTheorem to find thedistancebetween thepoints. distance 2 distance 1. ( – 3, 5) and (2, – 1) – 1 – 2 – 3 – 4 – 5 – 6 – 1 – 2 – 3 – 4 – 5 – 6 1 2 3 4 5 6 1 2 3 4 5 6 distance= ____________ 3. (1, – 5) and ( – 3, 0) – 1 – 2 – 3 – 4 – 5 – 6 – 1 – 2 – 3 – 4 – 5 – 6 1 2 3 4 5 6 1 2 3 4 5 6 distance= ____________ 2. (1, – 4) and ( – 3, 4) – 1 – 2 – 3 – 4 – 5 – 6 – 1 – 2 – 3 – 4 – 5 – 6 1 2 3 4 5 6 1 2 3 4 5 6 distance=____________ 4. (4, – 2) and ( – 5, – 1) – 1 – 2 – 3 – 4 – 5 – 6 – 1 – 2 – 3 – 4 – 5 – 6 1 2 3 4 5 6 1 2 3 4 5 6 distance=____________ – 1 – 2 – 3 – 4 – 5 – 6 – 1 – 2 – 3 – 4 – 5 – 6 1 2 3 4 5 6 1 2 3 4 5 6 Movie Theater ( – 4, 1) Tao's House (4, 3) School ( – 2, – 4) connect with line dashed lines to show formed ©MathTeachersPress, Inc. Reproduction only for one teacher for one class. Master 33 Noriko'sCity 8 7 6 5 4 3 2 1 – 1 – 2 – 3 – 4 – 5 – 6 – 7 – 8 – 8 – 7 – 6 – 5 – 4 – 3 – 2 – 1 1 2 3 4 5 6 7 8 Noriko'sHouse Movie Theater Noriko'sSchool GroceryStore Library Park ©MathTeachersPress, Inc. Reproduction only for one teacher for one class. Name____________________________________ Skill Builders 56-2 This is amap of Miguel’s city.The distance between two gridlines is 1mile.How far isMiguel’s house from his school? The distance betweenMiguel’s house and his school is approximately ______miles. FindingDistanceBetween TwoPoints on aCoordinate Plane The PythagoreanTheorem can be used to find the distance between two points on an xy -coordinate plane. PythagoreanTheorem: leg 1 2 + leg 2 2 = hypotenuse 2 ______+ ______=_____________ ______=_____________ Use thePythagoreanTheorem to find thedistancebetween thepoints. Thedistancebetween 2gridlines isoneunit. distance 2 distance 1. ( – 4,2) and (1,5) – 1 – 2 – 3 – 4 – 5 – 6 – 1 – 2 – 3 – 4 – 5 – 6 1 2 3 4 5 6 1 2 3 4 5 6 distance=____________units 3. (3,4) and ( – 6,2) – 1 – 2 – 3 – 4 – 5 – 6 – 1 – 2 – 3 – 4 – 5 – 6 1 2 3 4 5 6 1 2 3 4 5 6 distance=____________units 2. (0,3) and ( – 5, – 2) – 1 – 2 – 3 – 4 – 5 – 6 – 1 – 2 – 3 – 4 – 5 – 6 1 2 3 4 5 6 1 2 3 4 5 6 distance=____________ units 4. (1, – 6) and ( – 4, – 1) – 1 – 2 – 3 – 4 – 5 – 6 – 1 – 2 – 3 – 4 – 5 – 6 1 2 3 4 5 6 1 2 3 4 5 6 distance=____________units – 1 – 2 – 3 – 4 – 5 – 6 – 1 – 2 – 3 – 4 – 5 – 6 1 2 3 4 5 6 1 2 3 4 5 6 Miguel’s House ( – 1, 3) School ( – 2, – 4) connect with line dashed lines to show formed 8.G.8