2.
_______________ is formed when 2 rays have a common endpoint.
Correct Answer
A. Angle
Explanation
An angle is formed when 2 rays have a common endpoint. It is the space between the two rays that extend from the common endpoint.
3.
____________ is a straight path of points with no endpoints.
Correct Answer
A. Line
Explanation
A line is a straight path that extends infinitely in both directions without any endpoints. It is a one-dimensional figure that can be defined by two points or by a point and a direction. A line has no thickness or width, and it can be thought of as a series of connected points.
4.
______________ is the common endpoint formed on an angle.
Correct Answer
A. Vertex
Explanation
The common endpoint formed on an angle is called the vertex. This is where the two rays or lines that form the angle meet or intersect. The vertex is a crucial point in defining and measuring angles.
5.
________________ is part of a line with one endpoint formed on an angle.
Correct Answer
A. Ray
Explanation
A ray is part of a line with one endpoint formed on an angle. Unlike a line which extends infinitely in both directions, a ray has only one endpoint and extends infinitely in one direction. Therefore, a ray is the correct answer in this context.
6.
_____________________ is part of a line that has two endpoints.
Correct Answer
A. Line segment
Explanation
A line segment is a fundamental geometric concept defined as a part of a line that is bounded by two endpoints. It represents the shortest distance between these two points and includes all the points that lie between them. Unlike a line, which extends infinitely in both directions, a line segment has a finite length. Line segments are essential building blocks in geometry, used to construct various shapes and figures.
7.
____________________ is a flat surface that extends indifinitely in all directions.
Correct Answer
A. Plane
Explanation
A plane is a flat surface that extends infinitely in all directions. It has no thickness and is defined by three non-collinear points or a line and a point not on the line. A plane can be visualized as a sheet of paper that goes on forever in all directions. It has length and width but no height.
8.
Measures 90'
Correct Answer
right
Explanation
The given answer "right" is the correct answer because it matches the information provided in the question. The question states "measures 90'" which implies that something is being measured and it measures 90 units. Since "right" is the only option provided, it can be inferred that the measurement is in the right direction and hence the answer is "right".
9.
Measures less that 90'
Correct Answer
acute
Explanation
The term "acute" is used in geometry to describe an angle that measures less than 90 degrees. In this case, the given information states that the angle "measures less than 90'". Therefore, the correct answer is "acute".
10.
Measures 180'
Correct Answer
straight
11.
Measures greater than 90; but less than 180'
Correct Answer
obtuse
Explanation
The term "obtuse" is used to describe an angle that measures greater than 90 degrees but less than 180 degrees.
12.
Two angles whose sum is 180'
Correct Answer
A. Supplementary
Explanation
Supplementary angles are two angles that add up to 180 degrees. In other words, when the measures of two angles are added together and the sum is 180 degrees, they are considered supplementary. This term is used to describe the relationship between angles that form a straight line.
13.
Two angles whose sum is 90'
Correct Answer
A. Complementary
Explanation
Complementary angles are two angles whose sum is 90 degrees. In other words, when two angles are complementary, they add up to a right angle. This means that if one angle measures x degrees, the other angle will measure 90 - x degrees. Complementary angles are often found in geometry and trigonometry problems, where the sum of the angles is important for calculations.
14.
Part of the actual circle
Correct Answer
A. Arc
Explanation
The term "arc" refers to a part of the actual circle. It is a curved line that connects two points on the circumference of the circle. Unlike a chord, which is a straight line segment connecting two points on the circumference, or a diameter, which is a chord that passes through the center of the circle, an arc is a curved section. The radius is the distance from the center of the circle to any point on the circumference, while the central angle is the angle formed by two radii extending from the center to the endpoints of the arc.
15.
A line segment whose endpoints are on the circle
Correct Answer
A. Chord
Explanation
A chord is a line segment that connects two points on a circle. It is a straight line that starts and ends on the circle's circumference. The endpoints of the chord are on the circle itself. Therefore, a line segment whose endpoints are on the circle is called a chord.
16.
A line segment that extends from the center of a circle to any point on the circle
Correct Answer
A. Radius
Explanation
A radius is a line segment that extends from the center of a circle to any point on the circle. It is a fixed distance from the center to any point on the circumference, and it divides the circle into two equal halves. The other options, such as chord, diameter, arc, and central, do not specifically refer to a line segment from the center to any point on the circle.
17.
A chord that passes through the center of a circle
Correct Answer
A. Diameter
Explanation
A diameter is a chord that passes through the center of a circle. It is the longest chord in a circle and divides the circle into two equal halves. The term "diameter" is derived from the Greek word "diametros" which means "measuring across". In geometry, the diameter is often used to calculate the circumference and area of a circle. It is an important concept in circle geometry and is used in various mathematical calculations and formulas.
18.
___________ ________ are lines that lie in the same plane but never intersect.
Correct Answer
A. Parallel lines
Explanation
Parallel lines are lines that are always the same distance apart and never intersect. They lie in the same plane and have the same slope. Parallel lines can be thought of as train tracks that run alongside each other without ever crossing. In geometry, parallel lines are denoted by a symbol that looks like an equal sign with two vertical lines.
19.
_______________ _______________ are lines that lie in the same plane and intersect to from right angles.
Correct Answer
A. Perpendicular lines
Explanation
Perpendicular lines are lines that intersect at a right angle. They lie in the same plane and create four 90-degree angles at their intersection point. This means that if you were to extend these lines, they would never meet or intersect. Perpendicular lines are commonly seen in geometry and are used to construct right angles and determine the relationships between different shapes and angles.