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| 1. |
if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. |
| 2. |
of the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. |
| 3. |
if one pair of consecutive sides of a parallelogram are congruent, the parallelogram is a rhombus. |
| 4. |
the mid segment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases. |
| 5. |
a segment that connects any two nonconsecutive vertices. |
| 8. |
if a quadrilateral is a parallelogram, then each diagonal separates the parallelogram into two congruent triangles. |
| 10. |
if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. |
| 11. |
a trapezoid is isosceles if and only if it’s diagonals are congruent. |
| 12. |
if a parallelogram is a rhombus, then its diagonals are perpendicular. |
| 13. |
if a quadrilateral is a kite, then it’s diagonals are perpendicular. |
| 15. |
if one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus. |
| 17. |
is a quadrilateral with exactly one pair of parallel sides. |
| 19. |
if a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles. |
| 20. |
if the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. |
| 21. |
if a trapezoid has one pair of congruent base angles, then it is an isosceles trapezoid. |
| 22. |
if a parallelogram has one right angle then it has for right angles. |
| 25. |
if a quadrilateral is a parallelogram, then it’s opposite angles are congruent. |
| 26. |
is a parallelogram with for right angles by definitions, a rectangle has the following properties: all four are right angles, opposite sides are parallel and congruent, opposite angles are congruent, consecutive angles are supplementary, diagonals bisect each other. |
| 27. |
the sum of the interior angle measures of an n-sided convex polygon is (n-2)*180. |
| 28. |
if a quadrilateral is a parallelogram, then it’s diagonals bisect each other. |
| 29. |
if both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram. |
| 30. |
is a parallelogram with four congruent sides and four right angles. |
| 31. |
the sum of the exterior angle measures of a convex polygon, one angle at each vertex is 360. |
| 32. |
if a parallelogram is a rectangle, then it’s diagonals are congruent. |
| 33. |
is the segment that connects the midpoints of the legs of the trapezoid. |
| 34. |
if a quadrilateral is a kite, then exactly one pair of opposite angles is congruent. |