Quadrilaterals true/false

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characteristics of trapezoids

1 pair of parallel sides, angles between bases are supplementary

characteristics of kites

2 pairs of consecutive sides congruent, diagonals perpendicular, non-vertex angles are congruent

Characteristics of a parallelogram

2 pairs parallel sides, opposite angles are congruent, consecutive angles are supplementary, 2 pairs opposite sides congruent, diagonals bisect

characteristics of a square

4 congruent sides, diagonals perpendicular (Rhombi with 90 degree angles)

characteristics of rectangles

all four angles 90 degrees, diagonals are congruent

characteristics of rhombus

all sides are congruent, diagonals are perpendicular

ASN: parallelograms are quadrilaterals

always

ASN: rhombi are parallelograms

always

ASN: squares are parallelogram

always

ASN: squares are quadrilaterals

always

characteristics of isosceles trapezoids

base angles are congruent, diagonals are congruent, legs are congruent

the sum of the measures of the n angles of an n-gon is 180(n)

false, 180(n-2)

the opposite angles of a parallelogram are congruent

false, bisect each other

The base angles of an isosceles trapezoid are supplementary

false, congruent

the diagonals of a rectangle are perpendicular

false, congruent

the sum of the measures of one set of interior angles is 360

false, exterior

the diagonals of a kite are congruent

false, perpendicular

the consecutive angles between the bases of a trapezoid are congruent

false, supplementary

the diagonal connecting the non-vertex angles of a kite is the perpendicular bisector of the other diagonal

false, vertex

ASN: kites are rectangles

never

ASN: kites are trapezoids

never

ASN: trapezoids are rectangles

never

ASN: Quadrilaterals are rectangles

sometimes

ASN: rectangles are squares

sometimes

ASN: rhombi are squares

sometimes

ASN: trapezoids are isosceles trapezoids

sometimes

The sum of the measures of the four angles of every quadrilateral is 360

true

the consecutive angles of a parallelogram are supplementary

true

the diagonals of a rhombus are perpendicular bisectors of each other

true

the diagonals of a rhombus bisect the angles of the rhombus

true

the diagonals of an isosceles trapezoid are congruent

true

the midsegment of a trapezoid is parallel to the bases and is equal in length to the average of the two base lengths.

true

the non-vertex angles of a kite are congruent

true

the opposite sides of a parallelogram are congruent

true

the vertex angles of a kite are bisected by a diagonal

true


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