CAIE IGCSE Mathematics Extended E3.4 Length…point

Covered syllabus points

[Maximum number: 3]

16 A is the point (7,2) and B is the point (-5,8).

Calculate the length of AB.

13.4 or 13.41 to 13.42

M2 for $\sqrt{(-5-7)^2+(8-2)^2}$ oe.
M1 for $(-5-7)^2+(8-2)^2$ oe.

[Maximum number: 2]

15 C is the point (5,-1) and D is the point (13,15).

Find the midpoint of CD.

[Maximum number: 5]

(a)

P has coordinates (-1,3) and Q has coordinates (6,4).

[ 5 ]

(i)

Find the coordinates of the midpoint of PQ.

[ 2 ]

(ii)

Find the length PQ.

[ 3 ]

7.07 or 7.071...
M2 for $(6-(-1))^2+(4-3)^2$ oe, or M1 for 6-(-1) or 4-3 oe

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