The table below shows the steps to prove that if the quadrilateral ABCD is a par
ID: 2899586 • Letter: T
Question
The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent:
Statement
Reasons
1
AB is parallel to DC and AD is parallel to BC
Definition of parallelogram
2
angle 1 = angle 2, angle 3 = angle 4
If two parallel lines are cut by a transversal then the alternate interior angles are congruent
3
BD = BD
Reflexive Property
4
triangles ADB and CBD are congruent
If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent by _______________
5
AB = DC,
AD = BC
Corresponding parts of congruent triangles are congruent
Which choice completes the missing information for reason 4 in the chart?
AAS postulate ASA postulate HL Postulate SAS postulate
Statement
Reasons
1
AB is parallel to DC and AD is parallel to BC
Definition of parallelogram
2
angle 1 = angle 2, angle 3 = angle 4
If two parallel lines are cut by a transversal then the alternate interior angles are congruent
3
BD = BD
Reflexive Property
4
triangles ADB and CBD are congruent
If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent by _______________
5
AB = DC,
AD = BC
Corresponding parts of congruent triangles are congruent
Explanation / Answer
ANGLE SIDE ANGLE ASA POSTULATE (TWO ANGLES AND THE INCLUDED SIDE )
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