Quadrilateral has diagonals and intersecting at such that .
MATHEMATICS · Multi-part · US High School · Geometry · Congruence · Congruence
Problem
Quadrilateral ABCD has diagonals AC and BD intersecting at O such that △AOB≅△COD.
(i) Write any two pairs of corresponding equal segments obtained from this congruence.
(ii) Using the result of part (i), prove in at most three logical steps that ABCD is a parallelogram.