Geometry Honors Regents Review

Transformation Properties and Quadrilateral Properties

reflection across the x-axis

(a,-b)

reflection across the y-axis

(-a,b)

reflection across the line y=x

(b,a)

reflection across the line y=-x

(-b,-a)

rotation 90 degrees (counter clockwise) about the origin

(-b,a)

rotation 180 degrees (counter clockwise) about the origin

(-a,-b)

rotation 270 degrees (counter clockwise) about the origin

(b,-a)

trapezoid

at least one pair of parallel sides

isosceles trapezoid

* pair of base angles are congruent
* diagonals are congruent
* legs are congruent

parallelogram

* opposite sides are parallel
* opposite sides are congruent
* opposite angles are congruent
* consecutive angles are supplementary
* diagonals bisect each other

rhombus

* all sides are congruent
* diagonals are perpendicular (right angles form at intersection)
* diagonals bisect opposite angles
* opposite sides are parallel
* opposite sides are congruent
* opposite angles are congruent
* consecutive angles are supplementary
* diagonals bisect each other

rectangle

* all angles at vertices are right angles (sides are perpendicular
* diagonals are congruent
* opposite sides are parallel
* opposite sides are congruent
* opposite angles are congruent
* consecutive angles are supplementary
* diagonals bisect each other

square

* all sides are congruent
* diagonals are perpendicular
* diagonals bisect opposite angles
* all angles are right angles
* diagonals are congruent