Question

use the given information to answer each question. explain your reasoning.
sample problem
tommy drew a quadrilateral. he used a protractor to measure all four angles of the quadrilateral.
how many pairs of angles must be congruent for the quadrilateral to be a parallelogram?
opposite angles are congruent in a parallelogram, so both pairs of opposite angles must be congruent.
magda told sam that an isosceles trapezoid must also be a parallelogram because there is a pair of parallel sides in an isosceles trapezoid.
is magda correct? explain.
enter the answer in the space provided.

Explanation:

An isosceles trapezoid has one pair of parallel sides (the bases) and the non - parallel sides (legs) are congruent. A parallelogram has two pairs of parallel sides. An isosceles trapezoid only has one pair of parallel sides, so it does not meet the definition of a parallelogram. Therefore, Magda is not correct.

Answer:

Magda is not correct. An isosceles trapezoid has only one pair of parallel sides, while a parallelogram has two pairs of parallel sides. So an isosceles trapezoid is not a parallelogram.