Line Segments Ratios Worksheet A The worksheet is

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Dividing a line Using Ratios (0, 0) A B (9, 3) X (3, 1)

Dividing a line Using Ratios (0, 0) A B (9, 3) X Dividing a

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Line Segments & Ratios – Worksheet A The worksheet is in 2 sizes.

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Dividing a line Using Ratios (0, 0) A B (9, 3) X (3, 1) The line AB has been divided in the ratio 1: 2 by the point X. Complete the table for different lines & ratios. Ratio AX : XB Point A 1 1: 1 (0, 0) (8, 8) 2 1: 2 (0, 0) (6, 3) 3 2: 1 (0, 0) 4 1: 3 5 (0, 0) 6 2: 3 (2, 4) 7 2: 3 (4, 6) 8 2: 5 9 3: 4 10 11 2: 7 12 5: 3 Point X Point B (4, 2) (3, 3) (12, 12) (2, 2) (10, 10) (12, 14) (8, 12) (11, 14) (− 2, -2) (21, 29) (19, 33) (− 5, − 9) (− 3, − 3) (− 4, − 10) (2, − 2) (10, − 8) (4, 18) (19, − 20)

Dividing a line Using Ratios (0, 0) A B (9, 3) X (3, 1) The line AB has been divided in the ratio 1: 2 by the point X. Complete the table for different lines & ratios. Ratio AX : XB Point A Point X Point B 1 1: 1 (0, 0) (4, 4) (8, 8) 2 1: 2 (0, 0) (2, 1) (6, 3) 3 2: 1 (0, 0) (4, 2) (6, 3) 4 1: 3 (0, 0) (3, 3) (12, 12) 5 1: 4 (0, 0) (2, 2) (10, 10) 6 2: 3 (2, 4) (6, 8) (12, 14) 7 2: 3 (4, 6) (8, 12) (14, 21) 8 2: 5 (7, 8) (11, 14) (21, 29) 9 3: 4 (− 2, -2) (7, 13) (19, 33) 10 2: 7 (− 5, − 9) (− 3, − 3) (4, 18) 11 2: 7 (− 4, − 10) (2, − 2) (23, 26) 12 5: 3 (− 5, 12) (10, − 8) (19, − 20)

Dividing a line Using Ratios (0, 0) A B (9, 3) X Dividing a line Using Ratios (3, 1) (0, 0) The line AB has been divided in the ratio 1: 2 by the point X. Complete the table for different lines & ratios. Ratio AX : XB Point A 1 1: 1 (0, 0) (8, 8) 2 1: 2 (0, 0) (6, 3) 3 2: 1 (0, 0) 4 1: 3 5 (0, 0) 6 2: 3 (2, 4) 7 2: 3 (4, 6) 8 2: 5 9 3: 4 10 11 2: 7 12 5: 3 Point X Point A 1 1: 1 (0, 0) (8, 8) 2 1: 2 (0, 0) (6, 3) 3 2: 1 (0, 0) 1: 3 (12, 12) 4 (2, 2) (10, 10) 5 (12, 14) 6 2: 3 (2, 4) 7 2: 3 (4, 6) (21, 29) 8 2: 5 (19, 33) 9 3: 4 (4, 18) 10 (11, 14) (− 2, -2) (− 5, − 9) (− 3, − 3) (− 4, − 10) (2, − 2) (10, − 8) (19, − 20) (3, 1) Ratio AX : XB (3, 3) (8, 12) X The line AB has been divided in the ratio 1: 2 by the point X. Complete the table for different lines & ratios. Point B (4, 2) A B (9, 3) (0, 0) 11 2: 7 12 5: 3 Point X Point B (4, 2) (3, 3) (12, 12) (2, 2) (10, 10) (12, 14) (8, 12) (11, 14) (− 2, -2) (21, 29) (19, 33) (− 5, − 9) (− 3, − 3) (− 4, − 10) (2, − 2) (10, − 8) (4, 18) (19, − 20)

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk