Chapter 6 Flashcards

0
Q

how many properties of parallelograms

A

4

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1
Q

How many ways are there to prove that a quadrilateral is a parallelogram?

A

5

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2
Q

how many properties of rhombuses w/o parallelograms?

A

3

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3
Q

How many properties of rectangles without parallelograms?

A

2

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4
Q

How many properties of squares?

A

9

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5
Q

Ways to prove a quadrilateral is a parallelogram?

A

both pairs of opposite sides are parallel
both pairs of opposite sides are congruent
both pairs of opposite angles congruent
diagonals bisect each other
one pair of opposite sides is both congruent and parallel

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6
Q

Name the properties of a rhombus

A

properties of parallelograms
all sides congruent
diagonals bisect the angles
diagonals are perpendicular

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7
Q

Name the properties of a parallelogram

A

opposite sides are parallel
opposite sides congruent
opposite angles congruent
diagonals bisect each other

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8
Q

Name the properties of rectangles

A

properties of parallelograms
four right angles
diagonals are congruent

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9
Q

name the properties of a square

A

properties of parallelograms
properties of rhombuses
properties of squares

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10
Q

If three or more lines cut congruent segments on one transversal

A

they cut congruent lines on every transversal

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11
Q

2 ways to prove a parallelogram is a rhombus

A

one diagonal bisects two angles of a parallelogram

diagonals of a parallelogram are perpendicular

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12
Q

prove a parallelogram is a rectangle

A

the diagonals are congruent in a parallelogram

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13
Q

Base angles in an isosceles trapezoid

A

are congruent

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14
Q

diagonals of an isosceles trapezoid

A

are congruent

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15
Q

diagonals of a kite

A

are perpendicular

16
Q

the midsegment of a trapezoid is

A

parallel to the bases

the length is half the sum of the lengths of the bases

17
Q

A rectangle is _____ a rhombus

A

sometimes

18
Q

diagonals of a trapezoid _______ bisect one another

A

never

19
Q

Rectangles are squares

A

sometimes

20
Q

isosceles trapezoids are parallelograms

A

never

21
Q

trapezoids are isosceles trapezoids

A

sometimes

22
Q

rhombuses are quadrilaterals

A

all

23
Q

kites are parallelograms

A

never

24
Q

rhombuses are squares

A

sometimes

25
Q

squares are triangles

A

never

26
Q

rectangles are regular quadrilaterals

A

sometimes

27
Q

squares are quadrilaterals, rectangles, rhombuses, and parallelograms

A

always

28
Q

quadrilaterals have four congruent angles

A

sometimes

29
Q

rectangles are rhombuses

A

some

30
Q

trapezoids are parallelograms

A

never

31
Q

trapezoids have both pair of opposite sides parallel

A

never

32
Q

trapezoids have a pair of congruent sides

A

sometimes

33
Q

kites have two pairs of congruent sides

A

all

34
Q

squares are regular quadrilaterals

A

always

35
Q

kites have congruent diagonals

A

sometimes

36
Q

trapezoids have four congruent sides

A

never

37
Q

parallelograms have four congruent angles

A

some

38
Q

isosceles trapezoid have one pair of opposite congruent sides

A

always