Quadrilaterals Worksheet With Answers Page 25
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50Solutions:
1.
Statements
Reasons
1. Quadrilateral ABCD
1. Given
DC ≅
AB
DC
AB
2. If two lines are parallel and cut
2. ∠ CDB ≅ ∠ ABD
by a transversal, the alternate
interior angles are congruent.
3. Reflexive property
DB ≅
3.
DB
4. SAS congruence postulate
4. ∆ ABD ≅ ∆ CDB
5. CPCTC
AD ≅
5.
BC
6. If the opposite sides of a
6. Quadrilateral ABCD is a
quadrilateral are congruent, then
parallelogram
the quadrilateral is a
parallelogram.
2. a) The quadrilateral is a parallelogram.
If the consecutive angles of a parallelogram are supplementary, then the
quadrilateral is a parallelogram.
b) The quadrilateral is a parallelogram.
If the opposite sides of a quadrilateral are congruent, then the quadrilateral
is a parallelogram.
c) The quadrilateral is a parallelogram.
If the diagonals of a quadrilateral bisect each other, then the quadrilateral
is a parallelogram.
d) The quadrilateral is not a parallelogram.
The opposite sides are not congruent.
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