Geometryhard · Past Paper
If (1, 2), (4, y), (x, 6), and (3, 5) are vertices of a parallelogram taken in order, then x and y are:
Ax=6, y=3
Bx=3, y=6
Cx=2, y=3
Dx=1, y=5
✓ Correct Answer: A — x=6, y=3
Midpoints of diagonals coincide. Diagonals are (1,2)-(x,6) and (4,y)-(3,5). (1+x)/2 = (4+3)/2 => x=6. (2+6)/2 = (y+5)/2 => y=3.
Share this question
More from Geometry
- What is the slope (gradient) of the line passing through (1, 2) and (3, 8)?
- In a triangle, if two angles are 40 degrees and 60 degrees, what is the measure of the third angle?
- Calculate the y-intercept of the line 2x + 5y = 10.
- If the length of a transverse common tangent to two circles is 8 cm and the radii are 5 cm and 1 cm, find the distance between centers.
- If an angle is 2/3 of a right angle, what is its measure?