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Formulas & Theorems
FINAL
Term | Definition |
---|---|
quadrilateral | a four sided figure |
diagonal | segment joining any two nonconsecutive vertices in a quadrilateral |
parallelogram | special kind of quadrilateral in which both pairs of opposite sides are parallel |
opposite sides of a parallelogram are | congruent |
opposite angles of a parallelogram are | congruent |
consecutive angles in a parallelogram are | supplementary |
diagonals of a parallelogram | bisect each other |
quadrilateral is parallelogram if #1 | both pairs of opposite sides are parallel |
quadrilateral is parallelogram if #2 | both pairs of opposite sides are congruent |
quadrilateral is parallelogram if #3 | pair of opposite sides are both parallel and congruent |
quadrilateral is parallelogram if #4 | diagonals bisect each other |
quadrilateral is parallelogram if #5 | both pairs of opposite angles are congruent |
rectangle | quadrilateral with four right angles |
rectangle property that make is a parallelogram #1 | opposite sides are congruent |
rectangle property that make is a parallelogram #2 | opposite angles are congruent |
rectangle property that make is a parallelogram #3 | consecutive angles are supplementary |
rectangle property #1 | all four angles are right angles |
rectangle property #2 | diagonals are congruent |
rhombus | quadrilateral with four congruent sides |
square | quadrilateral with four right angles and four congruent sides |
diagonals of a rhombus are | perpendicular |
each diagonal of a rhombus | bisects a pair of opposite angles |
trapezoid | quadrilateral with exactly one pair of parallel sides |
parallel sides of trapezoids are called | bases |
nonparallel sides of trapezoids are called | legs |
isosceles trapezoid | trapezoids legs are congruent |
segment that joins the midpoints of the legs of the trapezoid is called | median |
both pairs of base angles of an isosceles trapezoid are | congruent |
diagonals of an isosceles trapezoid are | congruent |
median of a trapezoid is parallel to | bases |
median formula for trapezoids | one half the sum of the measures of the bases |