Which coordinates of the vertices would you choose for an easy proof if you want to use coordinate geometry to prove that the diagonals of an isosceles trapezoid are congruent?
A. (b, c), (b, c), (a, 0), (a, 0)
B. (0, c), (2b, c), (a + b, 0), (a + b, 0)
C. (0, 0), (2a, 0), (a + b, c), (a b, c)
D. (a, c), (a, c), (b, 0), (b, 0)
The correct answer to this question is A, (b, c), (b, c), (a, 0), (a, 0). Used in geometry, vertices are points where two or more curves, edges, or lines meet. They are also where the corners of polygons and polyhedra, as well as where two lines meet to form an angle.
An isosceles trapezoid, also known as an isosceles trapezium, is a convex quadrilateral. A line of symmetry intersects one pair of opposite sides. Lastly, two objects are congruent when they are the same size and shape. The shapes should be a mirror image of each other and a reflection.