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