1.
The figure formed by two angles and an endpoint is an
Correct Answer
B. Angle
Explanation
The figure formed by two angles and an endpoint is an angle. An angle is formed when two rays share a common endpoint. The rays are called the sides of the angle, and the common endpoint is called the vertex. Therefore, the correct answer is angle.
2.
The basic unit by which angles are measured is the
Correct Answer
C. Degree
Explanation
Angles are measured in degrees, which is the basic unit of measurement for angles. The other options, "acute" and "adjacent" are not units of measurement but rather terms used to describe specific types of angles. Therefore, the correct answer is "degree".
3.
The intersection of the two sides of an angle is called the angles
Correct Answer
B. Vertex
Explanation
The intersection of the two sides of an angle is called the vertex. The vertex is the point where the two sides meet or come together. It is the common endpoint of the angle and is often represented by a dot or a small point in geometric diagrams. The vertex is an important element in defining and measuring angles, as it helps determine the size and shape of the angle.
4.
The small box at the vertex of < BDC indicates that < BDC measures________.
Correct Answer
A. 90 degrees
Explanation
The small box at the vertex of < BDC indicates that the angle BDC measures 90 degrees. The small box is a symbol used to denote a right angle, which is a 90-degree angle. Therefore, the presence of the small box in < BDC suggests that the angle measures 90 degrees.
5.
An angle with a measure of 90 degrees is called a ________________ angle.
Correct Answer
B. Right
Explanation
An angle with a measure of 90 degrees is called a right angle because it forms a perfect L shape, with one side vertical and the other side horizontal. A right angle is commonly found in many geometric shapes and is an important concept in mathematics and engineering.
6.
Point E is the __________ of AGB.
Correct Answer
C. Interior
Explanation
The correct answer is "Interior" because point E is located within the boundaries of AGB. It is not adjacent to AGB, which would mean it is next to or touching AGB, and it is not exterior to AGB, which would mean it is outside of or beyond AGB. Therefore, the only logical option is that point E is the interior of AGB.
7.
An angle whose measure is between 90 degrees and 180 degrees is an __________ angle.
Correct Answer
A. Obtuse
Explanation
An angle whose measure is between 90 degrees and 180 degrees is an obtuse angle. This type of angle is larger than a right angle (which measures exactly 90 degrees) but smaller than a straight angle (which measures exactly 180 degrees). An obtuse angle is characterized by its openness and the space it creates between its two rays.
8.
Two angles whose measures have a sum of 90 degrees are _________________ angles.
Correct Answer
B. Complementary
Explanation
Complementary angles are two angles whose measures add up to 90 degrees. In this case, the question states that the angles have a sum of 90 degrees, which aligns with the definition of complementary angles. Therefore, the correct answer is complementary.
9.
<ABC and CBD are __________________ angles.
Correct Answer
C. Adjacent
Explanation
ABC and CBD are adjacent angles because they share a common vertex and a common side. In other words, they are side by side and do not overlap. Adjacent angles are commonly found in geometric shapes and are important in understanding the relationships between angles in a figure.
10.
Two angles whose measures have a sum of 180 degrees are _____________ angles.
Correct Answer
A. Supplementary
Explanation
Supplementary angles are two angles that add up to 180 degrees. Therefore, when the measures of two angles sum up to 180 degrees, they are considered supplementary angles.
11.
An angle whose measure is between 0 degrees and 90 degrees is ___________.
Correct Answer
B. Acute
Explanation
An angle whose measure is between 0 degrees and 90 degrees is considered acute. Acute angles are less than 90 degrees, so any angle within this range would fall under the category of acute.
12.
< EPD and < ____________ are supplementary angles.
Correct Answer
B. BDC
Explanation
The given question asks for a supplementary angle to angle EPD. Supplementary angles are two angles that add up to 180 degrees when placed side by side. In this case, the correct answer is BDC because angle BDC, when combined with angle EPD, will form a straight line and add up to 180 degrees.
13.
< CBD and < ABC
Correct Answer
C. Complementary
Explanation
In geometry, complementary angles are two angles that add up to 90 degrees. In this case, if CBD is an angle and ABC is another angle, and CBD is less than ABC, then they are complementary angles.
14.
Two angles having the same measure are said to be ___________.
Correct Answer
A. Congruent
Explanation
Two angles having the same measure are said to be congruent. This means that the angles have the same degree of opening and are equal in size. Congruent angles can be identified by comparing their measures, and they will always be equal to each other. Therefore, the correct answer is congruent.
15.
<BEC and <AED are congruent because they are________________ angles.
Correct Answer
B. Vertical
16.
The two rays that form an angle are called the ________ of the angle.
Correct Answer
C. Sides
Explanation
The two rays that form an angle are called the sides of the angle. These sides extend from a common endpoint, known as the vertex, and create the boundary of the angle. The interior of the angle refers to the space enclosed by the sides. Therefore, the correct answer is sides.