20 points A parallelogram has one pair of parallel sides.

True or false

If a quadrilateral is a rectangle then it is also a square. *
True or False

A parallelogram always has four congruent sides.
True or False

If a quadrilateral is a square then it is also a rectangle. *
True or False

If a quadrilateral is a trapezoid then it is also a parallelogram.

True or False

Step-by-step explanation:

"A parallelogram has one pair of parallel sides."

False.  A parallelogram has two pairs of parallel sides.

"If a quadrilateral is a rectangle then it is also a square."

False.  A rectangle isn't necessarily a square.  Rectangles are only squares when all four sides are equal.

"A parallelogram always has four congruent sides."

False.  Parallelograms have two pairs of congruent sides.  All four sides aren't necessarily congruent.

"If a quadrilateral is a square then it is also a rectangle."

True.  All squares are rectangles.

"If a quadrilateral is a trapezoid then it is also a parallelogram."

False.  Trapezoids have only 1 pair of parallel sides, and parallelograms have 2 pairs of parallel sides.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°