Question 1 - Page 198 - An Exploration in Rectangles - Chapter 8 Class 6 - Playing with Constructions (Ganita Prakash)

Transcript

Question 1 - Page 198 Is there a shorthand way of writing it down? In all the sentences, only the position of X, Y and the length XY changes. So we could write this as:We need to check these conditions When X is 5 mm away from A and Y is 3 cm away from B, XY = cm mm When X is 1 cm away from A and Y is 1 cm away from B, XY = cm mm When X is 2 cm away from A and Y is 4 cm away from B, XY = cm mm and so on. When X is 5 mm away from A and Y is 3 cm away from BMove Point X AX: 5 mm A ( 0 cm ) D ( 4 cm ) Move Point Y BY: 3 cm B ( 0 cm ) C ( 4 cm ) Dashboard Distance AX: 5 mm Distance BY: 3 cm Length XY: 7 cm 4 mmWhen X is 1 cm away from A and Y is 1 cm away from BMove Point X AX:1 cm D ( 4 cm ) Move Point Y BY: B ( 0 cm ) C ( 4 cm ) Dashboard Distance AX: 1 cm Distance BY: 1 cm Length XY: 7 cmWhen X is 2 cm away from A and Y is 4 cm away from BMove Point X AX: A ( 0 cm ) D ( 4 cm ) Move Point Y BY: B ( 0 cm ) C ( 4 cm ) Dashboard Distance AX: 2 cm Distance BY: 4 cm Length XY: 7 cm 3 mmSo, our filled table looks like Distance of X from A Distance of Y from B Length of XY 5 mm 3 cm 1 cm 1 cm 2 cm 4 cm