1.
Which is the quadrilateral with exactly one pair of parallel sides?
Correct Answer
A. Trapezoid
Explanation
A trapezoid is a quadrilateral that has exactly one pair of parallel sides. The other two sides are non-parallel and can be of different lengths. This distinguishes it from the other options, such as the square, rhombus, and isosceles trapezoid, which either have all sides parallel or no sides parallel. Therefore, the correct answer is trapezoid.
2.
Which is the parallelogram with 4 right angles?
Correct Answer
B. Rectangle
Explanation
A rectangle is a parallelogram with four right angles. The opposite sides of a rectangle are parallel and equal in length, and all four interior angles are 90 degrees. This makes it a special type of parallelogram where all angles are right angles. Therefore, a rectangle is the correct answer to the question.
3.
Name the quadrilateral with 2 distinct pairs of consecutive, congruent sides.
Correct Answer
E. Kite
Explanation
A kite is a quadrilateral with 2 distinct pairs of consecutive, congruent sides. The consecutive sides are not equal in length, but the pairs of consecutive sides are congruent. This makes a kite different from a parallelogram, where all sides are congruent, or a square, where all sides are congruent and all angles are right angles. A kite can have one pair of opposite angles congruent, but it does not have to be a right angle. Therefore, a kite is the correct answer.
4.
What is a parallelogram?
Correct Answer
D. B and C
Explanation
A parallelogram is a quadrilateral with opposite sides congruent and with 2 pairs of parallel sides. This means that both statements B and C are correct. The opposite sides of a parallelogram are equal in length and the parallel sides never intersect. Therefore, a parallelogram has both pairs of opposite sides congruent and parallel to each other.
5.
What is an isosceles trapezoid?
Correct Answer
C. Trapezoid with congruent legs
Explanation
An isosceles trapezoid is a trapezoid with congruent legs. This means that the two non-parallel sides of the trapezoid are equal in length. The other options are incorrect because a parallelogram has opposite sides that are parallel and equal in length, but it does not necessarily have congruent angles. A trapezoid whose diagonals bisect each other is a special type of trapezoid called a midsegment trapezoid, but it does not have to have congruent legs. A square is a quadrilateral with four congruent sides and four right angles, but it is not a type of trapezoid.
6.
What is a quadrilateral with 4 right angles and an equilateral?
Correct Answer
C. Square
Explanation
A square is a quadrilateral with 4 right angles and all sides of equal length. It is the only shape among the options that satisfies both conditions. A rectangle also has 4 right angles, but its sides are not necessarily equal in length. A rhombus has equal sides, but its angles are not necessarily right angles. The term "ambiguous - hydrolysis" seems unrelated and does not provide any relevant information. Therefore, the correct answer is square.
7.
What parallelogram has diagonals that bisect angles and perpendicular bisectors of each other?
Correct Answer
C. Rhombus
Explanation
A rhombus is a parallelogram that has diagonals that bisect angles and perpendicular bisectors of each other. This means that the diagonals of a rhombus divide each angle into two equal parts, and the perpendicular bisectors of the diagonals intersect at right angles. Therefore, a rhombus satisfies the given conditions and is the correct answer.
8.
Which one of these quadrilaterals has one pair of opposite, parallel sides?
Correct Answer
C. Trapezoid
Explanation
A trapezoid is the correct answer because it is the only quadrilateral that has one pair of opposite, parallel sides. In a trapezoid, one pair of opposite sides are parallel, while the other pair of opposite sides are not. A square, parallelogram, kite, and rhombus all have two pairs of opposite, parallel sides, so they do not fit the description given in the question.
9.
_________ is any polygon that has 4 sides.
Correct Answer
D. Quadrilateral
Explanation
A quadrilateral is any polygon that has 4 sides. In geometry, a polygon is a closed figure with straight sides. A rhombus, hexagon, and trapezoid are all types of polygons, but they do not specifically have 4 sides. Therefore, the correct answer is quadrilateral.
10.
Which word best describes a figure that contains 4 right angles and 4 equal sides?
Correct Answer
B. Square
Explanation
A square is a figure that contains 4 right angles and 4 equal sides. The definition of a square includes these specific characteristics, making it the best word to describe a figure with these properties. A rhombus also has 4 equal sides, but it does not necessarily have 4 right angles. A rectangle has 4 right angles, but it does not necessarily have 4 equal sides. An isosceles triangle does not have 4 right angles or 4 equal sides, so it is not the best word to describe the given figure.