PROBABILITY GEOMETRY B
CERTIFICATION EVALUATION FULLY
UPDATED TEST PAPER SOLUTIONS
ALREADY PASSED
●● Polygon Interior Angles Theorem
Answer: The sum of the measures of the interior angles of a convex n-
gon is (n-2) x 180
●● Corollary to the Polygon Interior Angles Theorem
Answer: The sum of the measures of the interior angles of a quadrilateral
is 360 degrees
●● equilateral polygon
Answer: a polygon in which all sides are congruent
●● eqiangular polygon
Answer: A polygon with all angles congruent
●● regular polygon
Answer: a polygon that is both equilateral and equiangular
,●● Polygon Exterior Angle Sum Theorem
Answer: The sum of the measures of the exterior angles of a polygon,
one at each vertex, is 360.
●● Parallelogram
Answer: A quadrilateral with two pairs of parallel sides
●● Parallelogram Opposite Sides Theorem
Answer: If a quadrilateral is a parallelogram, then its opposite sides are
congruent.
●● Parallelogram Opposite Angles Theorem
Answer: If a quadrilateral is a parallelogram, then its opposite angles are
congruent.
●● Parallelogram Consecutive Angles Theorem
Answer: If a quadrilateral is a parallelogram, then its consecutive angles
are supplementary.
●● Parallelogram Diagonals Theorem
Answer: If a quadrilateral is a parallelogram, then its diagonals bisect
each other.
, ●● parallelogram opposite sides converse
Answer: If both pairs of opposite sides of a quadrilateral are congruent,
then the quadrilateral is a parallelogram
●● Parallelogram Opposite Angles Converse
Answer: If both pairs of opposite angles of a quadrilateral are congruent,
then the quadrilateral is a parallelogram
●● opposite sides parallel and congruent theorem
Answer: If one pair of opposite sides of a quadrilateral are congruent
and parallel, then the quadrilateral is a parallelogram.
●● parallelogram diagonals converse
Answer: If the diagonals of a quadrilateral bisect each other, then the
quadrilateral is a parallelogram.
●● Rhombus
Answer: A parallelogram with four congruent sides
●● rectangle
Answer: A parallelogram with four right angles
●● square
CERTIFICATION EVALUATION FULLY
UPDATED TEST PAPER SOLUTIONS
ALREADY PASSED
●● Polygon Interior Angles Theorem
Answer: The sum of the measures of the interior angles of a convex n-
gon is (n-2) x 180
●● Corollary to the Polygon Interior Angles Theorem
Answer: The sum of the measures of the interior angles of a quadrilateral
is 360 degrees
●● equilateral polygon
Answer: a polygon in which all sides are congruent
●● eqiangular polygon
Answer: A polygon with all angles congruent
●● regular polygon
Answer: a polygon that is both equilateral and equiangular
,●● Polygon Exterior Angle Sum Theorem
Answer: The sum of the measures of the exterior angles of a polygon,
one at each vertex, is 360.
●● Parallelogram
Answer: A quadrilateral with two pairs of parallel sides
●● Parallelogram Opposite Sides Theorem
Answer: If a quadrilateral is a parallelogram, then its opposite sides are
congruent.
●● Parallelogram Opposite Angles Theorem
Answer: If a quadrilateral is a parallelogram, then its opposite angles are
congruent.
●● Parallelogram Consecutive Angles Theorem
Answer: If a quadrilateral is a parallelogram, then its consecutive angles
are supplementary.
●● Parallelogram Diagonals Theorem
Answer: If a quadrilateral is a parallelogram, then its diagonals bisect
each other.
, ●● parallelogram opposite sides converse
Answer: If both pairs of opposite sides of a quadrilateral are congruent,
then the quadrilateral is a parallelogram
●● Parallelogram Opposite Angles Converse
Answer: If both pairs of opposite angles of a quadrilateral are congruent,
then the quadrilateral is a parallelogram
●● opposite sides parallel and congruent theorem
Answer: If one pair of opposite sides of a quadrilateral are congruent
and parallel, then the quadrilateral is a parallelogram.
●● parallelogram diagonals converse
Answer: If the diagonals of a quadrilateral bisect each other, then the
quadrilateral is a parallelogram.
●● Rhombus
Answer: A parallelogram with four congruent sides
●● rectangle
Answer: A parallelogram with four right angles
●● square