geometry a unit 1 tools of geometry test answers

In coordinate geometry, the tools of algebra are used in studying geometry by establishing 1-1 correspondence between the points in a plane and the ordered pairs of real number..

Question: Plot the points (3, 1), (4, 3), (0, 3) and (-1, 1) on a graph paper. Name the figure formed and find its area. Answer: The figure formed is a parallelogram since both the pairs of opposite sides are parallel. From the graph, Height of ..

The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are termed as coordinate axes, the one (usually drawn horizontally) is called..

Rectangular coordinate system - The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are termed as coordinate axes, the one (usual..

The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number in the following way: Choose some reference point O (or initial point)on XX' and measure the se..

Coordinates - The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number in the following way: Choose some reference point O (or initial point)on XX' and ..

Summary - In coordinate geometry, the tools of algebra are used in studying geometry by establishing 1-1 correspondence between the points in a plane and the ordered pairs of real numbers. If P(x 1 ,y 1 ) and Q(x 2 ,y 2 ) be any two points..

Question: Find the equation of the line, which cuts off an intercept of 5 units on negative direction of y-axis and makes an angle of 135 o with the positive direction of x-axis. Answer: Here m = 135 o = tan (180 o - 45 o ) = - tan45 o = -1 and c = -5 ..

The position of the point P in a plane in the rectangular co-ordinate system is determined as follows: Draw PA and PB perpendicular to XX' and YY'. The segment OA = a measures the distance along the x-axis (the x-coordinate and the perpendicular distance AP = OB = b ( parallel to y - axis) measu..

Question: Prove that the points (3, 1), (4, 3), (0, 3) and (-1, 1) are the vertices of a parallelogram. Or diagonals bisect each other. [3 Mark] Hint: Show that the opposite sides are equal Hint:Show that the opposite sides are equal Answer: ..