The side AB of a square ABCD is parallel to x-axis. Find the slopes of all its sides. Also, find:
(i) the slope of the diagonal AC.
(ii) the slope of the diagonal BD.
The side AB of an equilateral triangle ABC is parallel to the x-axis. Find the slopes of all its sides.
The line through A(–2, 3) and B(4, b) is perpendicular to the line 2x – 4y = 5. Find the value of b.
Without using the distance formula, show that the points A (4, 5), B (1, 2), C (4, 3) and D (7, 6) are the vertices of a parallelogram.
(−2, 4), B (4, 8), C (10, 7) and D (11, -5) are the vertices of a quadrilateral. Show that the quadrilateral, obtained on joining the mid-points of its sides, is a parallelogram.
Find the value(s) of k so that PQ will be parallel to RS. Given: P (3, −1), Q (7, 11), R (−1, −1) and S (1, k)