9. PROBLEMS
Block :Geometry
 

first problem 

The points P(2,-4) and Q(6,0) are consecutive vertices of a parallelogram which has its centre at the origin. Find:
a) The other two vertices
b) The angles of the parallelogram 

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SECOND PROBLEM   
A rhombus ABCD has one vertex on the x-axis; the two opposite vertices are B(3,1) and D(-5,-3). Find the coordinates of the vertices A and C, and the area of the rhombus.
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THIRD PROBLEM
The line 2x + y - 4 = 0 is the bisector of a segment with one end at the point (0,0). Find the coordinates of the other end.

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FOURTH PROBLEM
The line x + y - 2 = 0 and a line parallel to it passing through the point (0,5) make, with the coordinate axes, an isosceles trapezium. Find its area.

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  Ángela Núñez Castaín
 
Ministry of Education , Social Afairs and Sport. Year 2001
 
 

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