Proving Theorems about Parallelograms: Tutorial
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Given: Quadrilateral ABCD is a parallelogram. Prove: ZBAD ZDCB, and ZABO ZODA. Match each
statement to its corresponding reason. Scroll down to see all the choices. Click the links in the statements to view
related diagrams. Drag the items on the left to the correct location on the right.
AB CD
BO ADview diagram)
Let A, B, C, and D form a parallelogram.
Draw ACand BD. (view diagram)
AB=CD
BC=AD
AABCE ACDA
AABD ACDB
ZBAD ZDCB(view diagram)
LABC ZCDA(view diagram)
ACAC, and BD BD
given
9 of 2
Opposite sides of a
parallelogram are .
line segments have
equal measures.
drawing line segments
Reflexive Property of
Equality
SSS criterion for
Corresponding angles
of triangles are

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olayemiolakunle65 olayemiolakunle65 · Answer 1 · 2022-07-23T04:19:41+02:00

A parallelogram is a type of quadrilateral that has opposite sides to be equal, and opposite angles to be equal.

Thus to complete the given proof in the question, the required statements and reasons are stated below:

STATEMENT REASONS

1. AB ≅ CD, Opposite sides of a

BC ≅ AD parallelogram are equal

2. A, B, C, and D form a paralelogram Given

3. Draw AC and BD Drawing line segments

4. AB = CD, Equal line segments have

BC = AD equal measures

5. ΔABC ≅ ΔCDA SSS criterion for equal

ΔABD ≅ ΔCDB triangles

6. <BAD ≅ <DCB Corresponding angles of equal

<ABC ≅ <CDA triangles are equal

7. AC = AC, and BD = BD Reflective property of equality

For more clarifications on the properties of a parallelogram, visit: https://brainly.com/question/20526916

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