SOLUTION: Math 9 theorem 3: the diagonals of a rhombus is perpendicular Proof!! Plss help me to answer the proof

Question 1130860: Math 9 theorem 3: the diagonals of a rhombus is perpendicular
Proof!!
Plss help me to answer the proof
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

proof: the diagonals are perpendicular to each other

assuming we have a rhombus with diagonals and intersecting at point

≅ ..................as two halves of a diagonal

≅ ................. by reflexive property of congruence, a segment is congruent to itself
≅ .....................as sides of a rhombus
Δ ≅ Δ ..........by SSS congruence
< ≅ < ....................... corresponding angles
< + < =�.........since they are supplementary angles
< = < =�..........addition property of congruent angles
⊥ ..........the diagonals of are perpendicular to each other

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