Find the midpoint of the line segment joining the points P(-2, 5) and Q(4, 1).
Answer and explanation
Correct answer: B. (1, 3)
- Step 1: The midpoint formula is M = ((x1 + x2)/2, (y1 + y2)/2). Step 2. Substitute: M = ((-2 + 4)/2, (5 + 1)/2) = (2/2, 6/2) = (1, 3). Answer: (1, 3). Why not the others: (2, 6) sums coordinates without dividing by 2; (3, 3) has an x-coordinate arithmetic error; (-1, 2) has sign errors.
Practise more Geometry, Measurement and Mensuration.
Free questions with an explanation for every one, and full timed Basic Education Certificate Examination mock tests.
More Geometry, Measurement and Mensuration questions
- The interior angles of a triangle are in the ratio 2 : 3 : 5. Find the size of the largest angle.
- Find the sum of the interior angles of a regular hexagon (six-sided polygon).
- Each interior angle of a regular polygon is 140°. How many sides does the polygon have?
- In a right-angled triangle, the two shorter sides measure 6 cm and 8 cm. Find the length of the hypotenuse.
- Find the perimeter of a rectangle whose length is 14 cm and breadth is 9 cm.
- Calculate the area of a circle of radius 7 cm (take π = 22/7).