Question

Determine whether the statement is true or false for rhombus ABCD. If true, explain why.

triangle BEA is congruent to triangle DEA

Answer 1

What do you think it is?

Answer 2

triangle BEA is congruent to triangle DEA --> True
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1. BE = ED --> diagonals of a parallelogram bisect each other
2. Segment BD is perpendicular to Segment AC --> Diagonals of rhombus are perpendicular
3. Angle BCA is congruent to Angle DCA --> Perpendicular lines form right angles and all right angles are congruent
4. Segment AC is congruent to Segment AC --> Reflexive Property
5. Triangle BEA is congruent to Triangle DEA.--> SAS Postulate