geometry pi

Two lines are parallel to each other if (i) they do not meet, however far they are produced on either side. (ii) they are co-planar (they lie on the same plane) (i) The perpendicular distance between two parallel lines is the same at all points. (ii) A line is parallel to itself. (iii) Th..

A point A and a point M. We are required to construct the reflection of point A through a point M. (i) Join AM and produce it. (ii) Obtain point A' on the line so that AM = A'M. (iii) Then A' is the image of A in point M..

Reflection in a line - In Physics, we study reflection and the image formed by a plane mirror. We specially notice two properties of the image: (i) The image is as much behind the mirror as the object is in front of it. (ii) The mirror is the perpendicular bisector of the line joining the image and..

To construct a right angled triangle ABC. Hypotenuse AC = 5.6 cm, BC = 4.5 cm, (i) Draw BC = 4.5 cm (ii) Construct an angle of 90 o at B (iii) With C as centre, cut the second arm of the angle with an arc of radius 5.6 cm at A, so that CA = 5.6 cm. (iv) Join AC. \ is the required tria..

Similarity - Study the following figures. They have the same shape though their sizes are different. One figure is the enlargement of the other figure. These figures are said to be similar to each other. In our study, we mostly deal with similarity of triangles. Two triangles are similar if (i..

Theorem 2 - The opposite sides and angles of a parallelogram are equal. ABCD is a parallelogram. (i) AB = CD AD = BC (ii) Join A..

A kite is a quadrilateral having both pairs of adjacent sides equal. Its other properties are: (i) One diagonal bisects the other diagonal at right angles. The above properties are tabulated below: * Yes in Isosceles Trapezi..

To construct a line parallel to a given line through a given point A line AB and a point O. It is required to construct a line parallel to AB through O. (i) Draw any line through O to cut AB at C. (ii) At O, construct (iii) Join PO and produce it to Q. (iv) Then PQ is parallel to A..

(i) and (ii) are not parallel if they intersect their slopes are not equal. (ii) If a1b2 - a2b1 = 0, then the coordinates of the points of intersection is not defined. In this case the lines are paralle..

A line XY and a point P outside it. The reflection of P in XY. (i) Construct a perpendicular from P to XY to meet XY at M. (ii) Produce PM to P' such that PM = P'M. Then, P' is the image of P in XY. If point P is on XY, then P itself is the imag..