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Parallelism, Perpendicularity, and Parallelograms 1
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. . . .

Choose always, sometimes, or never to make each statement correct.

1. The diagonals of a parallelogram are ___________ congruent.
always
sometimes
never
Answer: sometimes
2. The diagonals of a parallelogram ___________ bisect each other.
always
sometimes
never
Answer: always
3. Consecutive angles of a parallelogram are ___________ congruent.
always
sometimes
never
Answer: sometimes
4. The diagonals of a parallelogram are ___________ perpendicular to each other.
always
sometimes
never
Answer: sometimes
5. Consecutive angles of a parallelogram are ___________ complementary.
always
sometimes
never
Answer: never
6. If two pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is ___________ a parallelogram.
always
sometimes
never
Answer: always
7. Alternate interior angles formed by parallel lines cut by a transversal are ___________ supplementary.
always
sometimes
never
Answer: sometimes
8. If two lines are cut by a transversal so that a pair of corresponding angles is congruent, then the lines are ___________ parallel.
always
sometimes
never
Answer: always
9. If a line is parallel to one of the two parallel lines, then it is ___________ perpendicular to the other.
always
sometimes
never
Answer: never
10. Two or more lines can ___________ be drawn through a point perpendicular to a given line.
always
sometimes
never
Answer: never
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