1.
Two angles are supplementary. If one angle measures 80 degrees, what is the measure of the other angle?
Correct Answer
C. 100 degrees
Explanation
Supplementary angles are a pair of angles that add up to 180 degrees. In this case, if one angle measures 80 degrees, the other angle must be the remaining amount needed to add up to 180 degrees. Subtracting 80 from 180 gives us 100 degrees, which is the measure of the other angle.
2.
The number of points in any one line segment is _____.
Correct Answer
infinite
Explanation
In any line segment, there are an infinite number of points. This is because a line segment is a continuous straight path that extends infinitely in both directions. Therefore, there is no limit to the number of points that can be found within a line segment.
3.
An angle with measure 90 degrees is called _____.
Correct Answer
A. A right angle
Explanation
An angle with a measure of 90 degrees is called a right angle.
4.
An angle with measure less than 90 degrees is called _____.
Correct Answer
B. An acute angle
Explanation
An angle with measure less than 90 degrees is called an acute angle. Acute angles are smaller than a right angle (90 degrees) and have a measure between 0 and 90 degrees. They are characterized by their sharpness and are commonly found in triangles and other geometric shapes.
5.
An angle with measure between 90 and 180 degrees is called _____.
Correct Answer
C. An obtuse angle
Explanation
An angle with a measure between 90 and 180 degrees is called an obtuse angle. This type of angle is larger than a right angle (90 degrees) but smaller than a straight angle (180 degrees). It is characterized by its openness and is commonly found in shapes such as triangles and quadrilaterals.
6.
An angle with an measuremenet of 118 degrees is called _____.
Correct Answer
C. An obtuse angle
Explanation
An angle with a measurement of 118 degrees is called an obtuse angle. In geometry, an obtuse angle is any angle greater than 90 degrees but less than 180 degrees. Since 118 degrees is greater than 90 degrees, it falls into the category of an obtuse angle.
7.
Skew lines intersect sometimes.
Correct Answer
B. False
Explanation
Skew lines are lines that are not parallel and do not intersect. They are in different planes and never meet, so the statement that skew lines intersect sometimes is false.
8.
Transversal lines can cross over both parallel and non-parallel lines.
Correct Answer
A. True
Explanation
Transversal lines are lines that intersect two or more other lines. They can cross over both parallel lines, creating corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles, as well as non-parallel lines. Therefore, the statement is true.
9.
Any two points can be noncollinear.
Correct Answer
B. False
Explanation
The statement "Any two points can be noncollinear" is false. Collinear points are points that lie on the same line, so if we have two points that are collinear, they cannot be noncollinear. Thus, the correct answer is false.
10.
Any three points must be collinear.
Correct Answer
B. False
Explanation
This statement is false because any three points do not necessarily have to be collinear. Collinear points are points that lie on the same straight line. However, it is possible for three points to be non-collinear, meaning they do not lie on the same line.
11.
A _____ is a line that intersects two or more lines in a plane at different points.
Correct Answer
transversal
Explanation
A transversal is a line that intersects two or more lines in a plane at different points.
12.
_____ points are points through which a line cannot be drawn.
Correct Answer
Noncollinear
noncollinear
13.
Two rays that have a common endpoint and form a line are called _____ _____.
Correct Answer
opposite rays
Explanation
Opposite rays are two rays that share the same endpoint and form a straight line. They extend in opposite directions and together they form a line.
14.
_____ parts are points in the same plane.
Correct Answer
Coplaner
coplaner
Explanation
The term "coplaner" refers to points that lie in the same plane. In other words, these points can be connected by a flat surface without any of them being above or below the plane. Therefore, the correct answer is "coplaner" as it accurately describes the relationship between the parts mentioned in the question.
15.
Lines that do not intersect and are not in the same plane are called _____ lines.
Correct Answer
skew
Explanation
Lines that do not intersect and are not in the same plane are called skew lines. Skew lines are two lines that are not parallel but do not intersect each other. They are located in different planes and have no common points. Skew lines have different slopes and do not lie in the same geometric plane.
16.
A _____ is a term for a set of points that extend indefinitely in two directions
Correct Answer
line
Explanation
A line is a geometric term that refers to a set of points that stretch infinitely in both directions. It has no endpoints and continues indefinitely. It is a fundamental concept in geometry and can be represented by a straight, thin path.
17.
Which type of angle is shaped like the corner of a piece of paper?
Correct Answer
B. Right
Explanation
A right angle is shaped like the corner of a piece of paper because it forms a 90-degree angle, which is a perfect square corner. This angle is commonly found in everyday objects, such as book pages, doors, and windows.
18.
_____ _____ are coplaner lines that do not intersect.
Correct Answer
Parallel lines
Explanation
Parallel lines are lines that lie in the same plane and do not intersect each other. They have the same slope and will never meet regardless of how far they are extended.
19.
What are the sides of an angle?
Correct Answer
C. Rays
Explanation
An angle is formed by two rays that share a common endpoint called the vertex. The sides of an angle are the two rays that extend from the vertex in opposite directions. Therefore, the correct answer is rays.
20.
The word Trigonometry comes from the Greek language; it means "_____ _____."
Correct Answer
triangle measurement
Explanation
The word Trigonometry comes from the Greek language, where "tri" means three and "gon" means angle. Therefore, it can be understood as "triangle measurement" since trigonometry involves the study and measurement of angles and sides in triangles.