1.
How many triangles does the diagonals of trapezoid form?
Correct Answer
A. Four triangles
Explanation
The diagonals of a trapezoid form four triangles. The trapezoid has two bases and two legs. When the diagonals are drawn, they intersect at a point inside the trapezoid, creating four triangles. Each triangle is formed by connecting one of the endpoints of a base to the intersection point of the diagonals. Therefore, the correct answer is four triangles.
2.
What is the sum of the two cosines adjacent angle in a trapezoid?
Correct Answer
D. 0
Explanation
In a trapezoid, the sum of the two adjacent angles is always equal to 180 degrees. Since the cosine of 180 degrees is equal to -1, the sum of the two cosines adjacent angles in a trapezoid is 0.
3.
................... degree implies that the quadrilateral is a trapezoid:
Correct Answer
A. 180 degrees
Explanation
A trapezoid is a quadrilateral with at least one pair of parallel sides. The sum of the interior angles of any quadrilateral is always 360 degrees. However, in a trapezoid, one pair of opposite angles are supplementary, meaning they add up to 180 degrees. Therefore, if one angle in a quadrilateral is 180 degrees, it implies that the quadrilateral is a trapezoid.
4.
A bimedian divides a trapezoid to how many parts?
Correct Answer
A. Two parts
Explanation
A bimedian divides a trapezoid into two parts. A bimedian is a line segment that connects the midpoints of the non-parallel sides of a trapezoid. It divides the trapezoid into two smaller trapezoids that are congruent to each other. Therefore, the correct answer is two parts.
5.
How many adjacent right angles does a right trapezoid has?
Correct Answer
D. Two adjacent right angles
Explanation
A right trapezoid has two adjacent right angles. A right trapezoid is a quadrilateral with one pair of parallel sides and one pair of non-parallel sides. The non-parallel sides are typically referred to as the legs of the trapezoid, while the parallel sides are called the bases. Since a right trapezoid has one pair of parallel sides, it means that one pair of opposite angles are right angles. Therefore, there are two adjacent right angles in a right trapezoid.
6.
A trapezoid as a quadrilateral is _________?
Correct Answer
A. Concave
Explanation
A trapezoid is a convex quadrilateral, meaning that all of its interior angles are less than 180 degrees and all of its diagonals lie within the shape.
7.
The following are types of trapezoid except?
Correct Answer
C. Complementary trapezoid
Explanation
A trapezoid is a quadrilateral with at least one pair of parallel sides. A right trapezoid is a trapezoid where one of the angles is a right angle. An acute trapezoid is a trapezoid where all angles are acute angles. A left trapezoid is a trapezoid where the longer base is on the left side. However, there is no such thing as a complementary trapezoid. The term "complementary" refers to angles that add up to 90 degrees, which is not a characteristic of a trapezoid.
8.
A parallelogram is a trapezoid with _____ parallel sides?
Correct Answer
A. Two
Explanation
A parallelogram is a quadrilateral with both pairs of opposite sides parallel. A trapezoid, on the other hand, is a quadrilateral with only one pair of opposite sides parallel. Therefore, a parallelogram can also be considered a trapezoid with two parallel sides.
9.
Which of the following terms does not correlate with a trapezoid?
Correct Answer
D. Circumference
Explanation
The term "circumference" does not correlate with a trapezoid. A trapezoid is a quadrilateral with one pair of parallel sides. The term "incircle" refers to a circle that is tangent to all four sides of a polygon, including a trapezoid. "Right angle" is a term that can be associated with a trapezoid if one of its angles measures 90 degrees. "Vertice" refers to the corners of a polygon, including a trapezoid. However, "circumference" is a term commonly used to describe the distance around a circle, which is not applicable to a trapezoid.
10.
The angles of a trapezoid obey which of these laws?
Correct Answer
B. Sine law
Explanation
The angles of a trapezoid obey the Sine law. The Sine law states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. Since a trapezoid can be divided into two triangles, the Sine law can be applied to each triangle individually to determine the relationship between the angles. Therefore, the angles of a trapezoid follow the Sine law.