Quadrilaterals true/false
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