maths
posted by faizel .
Given is a quadrilateral ABCD,diagonals AC and BDare such that AO=BO=CO=DO=3cm,where Ois point of intersection of AC and BD then quadrilateral ABCD is a rectangle State true or false with reason

True.
Triangle ABO is congruent to triangle CDO.(Sideangleside equality) Triangle BCO is congruent to triangle DAO (sideangleside equality)
Opposite pairs of sides of the quadrilateral are equal in length (due to triangle congruency).
Angles A, B, C and D are right angles.(symmetry requirement)
Respond to this Question
Similar Questions

math
Algebra For questions 15, find the value of the variable. 1. x = (1 point) 2. y = (1 point) 3. x = (1 point) 4. x = (1 point) 5. (1 point) x = , y = , b = 90 x = , y = 3, b = 95 x = , y = 2, b = 90 x = , y = , b = 130 In Exercises … 
Geometry
If m<DBC=10x and m<ACb=4x^2, find m<ACB. The quadrilateral ABCD is a rectangle. B  C         A D There are diagonal bisectors inside the rectangle but I could not draw them in. The diagonals … 
geometry
Given: QRST is a parallelogram. Prove: QRST is a square. Complete the proof below by choosing the reason for line number 2 and line number 6. Reason Statement 1. QRST is a parallelogram. Given 2. QRST is a rectangle 3. is a right angle … 
Geometry
The coordinates of the vertices of quadrilateral ABCD are A (8, 8), B (4, 8), C (4, 4), D (8, 4). The coordinates of the vertices of quadrilateral PQRS are P (10, 10), Q (2, 10), R (2, 2), S (10, 2). Which statement is correct? 
Maths
Diagonals AC and BD of a rectangle ABCD intersect each other at point o.If DA=3cm.Find AC and BD. 
Geometry
Quadrilateral GHIJ is a scale drawing of quadrilateral ABCD with a scale factor r. Describe the following statements as always true, sometimes true, or never true, and justify your answer. a. AB/GH = BC/HI b. perimeter (GHIJ) = r * … 
geometry
A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true? 
QUADRILATERAL MATHS
ABCD is a quadrilateral with angle ABC a right angle. The point D lies on the perpendicular bisector of AB. The coordinates of A and B are (7, 2) and (2, 5) respectively. The equation of line AD is y = 4x − 26. find the area of quadrilateral … 
math
In a quadrilateral ABCD, AB  DC and ADBC . Find the perimeter of ΔCOD if the diagonals of the quadrilateral intersect each other at pointOand AC = 20 in, BD = 20 in, AB = 13 in. 
Geometry
Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true?