Geometry Ch 6 - Quadrilaterals Flashcards

1
Q

Parallelogram

A

A quadrilateral with both pairs of opposite sides parallel.

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2
Q

Rhombus

A

A parallelogram with four congruent sides.

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3
Q

Rectangle

A

A parallelogram with four right angles.

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4
Q

Square

A

a parallelogram with four congruent sides and four right angles.

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5
Q

Kite

A

A quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent.

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6
Q

Trapezoid

A

A quadrilateral with exactly one pair of parallel sides.

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7
Q

Isosceles Trapezoid

A

A trapezoid whose nonparallel opposite sides are congruent.

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8
Q

Opposite sides of a parallelogram are…

A

…congruent.

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9
Q

Consecutive Angles

A

Angles of a polygon that share a side.

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10
Q

Opposite angles of a parallelogram are…

A

…congruent.

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11
Q

The diagonals of a parallelogram…

A

…bisect each other.

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12
Q

If three (or more) parallel lines cut off congruent segements on one transversal…

A

…then they cut off congruent segements on every transversal.

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13
Q

If both pairs of opposite sides of a quadrilateral are congruent…

A

…then the quadrilateral is a parallelogram.

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14
Q

If both pairs of opposite angles or a quadrilateral are congruent…

A

…then the quadrilateral is a parallelogram.

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15
Q

If the diagonals of a quadrilateral bisect each other…

A

… then the quadrilateral is a parallelogram.

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16
Q

If one pair of opposite sides of a quadrilateral is both congruent and parallel…

A

… then the quadrilateral is a parallelogram.

17
Q

Each diagonal of a rhombus…

A

…bisects two angles of the rhombus.

18
Q

The diagonals of a rhombus…

A

…are perpendicular.

19
Q

The diagonals of a rectangle…

A

… are congruent.

20
Q

If one diagonal of a parallelogram bisects two angles of the parallelogram…

A

… then the parallelogram is a rhombus.

21
Q

If the diagonals of a parallelogram are perpendicular…

A

… then the parallelogram is a rhombus.

22
Q

If the diagonals of a parallelogram are congruent…

A

… then the parallelogram is a rectangle.

23
Q

Base Angles of a Trapezoid

A

Two angles that share a base of a trapezoid. The base angles of an isosceles trapezoid are congruent.

24
Q

Bases of a Trapezoid

A

The parallel sides.

25
Q

Legs of a Trapezoid

A

The non-parallel sides.

26
Q

The base angles of an isosceles trapezoid…

A

… are congruent

27
Q

The diagonals of an isosceles trapezoid…

A

… are congruent.

28
Q

The diagonals of a kite…

A

… are perpendicular.

29
Q
A
30
Q

Midsegment of a Trapezoid

A

The segment that joins the midpoints of the nonparallel opposite sides.

31
Q

Trapezoid Midsegment Theorem

A

1 - The midsegment of a trapezoid is a parallel to the bases.

2- The length of the midsegment of a trapezoid is half the sum of the lengths of the bases.