Name the quadrilateral formed, if any, by the following points, and give reasons for your answers:
(i) A (-1, - 2), B (1, 0), C (-1, 2), D (-3, 0)
(ii) A (-3, 5), B (3, 1), C (0, 3), D (-1, - 4)
(iii) A (4, 5), B (7, 6), C (4, 3), D (1, 2)
Answers
Given : (i) A (-1, - 2), B (1, 0), C (-1, 2), D (-3, 0)
(ii) A (-3, 5), B (3, 1), C (0, 3), D (-1, - 4)
(iii) A (4, 5), B (7, 6), C (4, 3), D (1, 2)
Concept :
Types of quadrilaterals and their conditions:
Parallelogram:
In parallelogram both pairs of opposite sides are equal.Diagonals bisect each other.
Rectangle:
In rectangle diagonals are equal.Diagonal bisect each other.Opposite sides are equal.
Rhombus:
In Rhombus all the sides are equal.Diagonals bisect each other at right angle.Diagonals are not equal.
Square:
In square all sides are equal.Diagonals are equal.Diagonals bisect each other at right angle.
Solution is in the attachment below.
Some more questions :
Prove that the points A(1, 7), B (4, 2), C(−1, −1) D (−4, 4) are the vertices of a square.
https://brainly.in/question/15937736
Show that the quadrilateral whose vertices are (2, −1), (3, 4) (−2, 3) and (−3,−2) is a rhombus.
https://brainly.in/question/15937739
Step-by-step explanation:
(iii) A (4, 5), B (7, 6), C (4, 3), D (1, 2)