When two lines cross, the opposite angles are ___________ angles and are congruent.
(1 point)
Responses
Adjacent Angles
Adjacent Angles
Angle Addition Postulate
Angle Addition Postulate
Straight Angle
Straight Angle
Vertical Angles
Vertical Angles
Question 2
Two angles that share a side and a vertex but do not overlap(1 point)
Responses
Straight Angle
Straight Angle
Vertical Angles
Vertical Angles
Adjacent Angles
Adjacent Angles
Angle Addition Postulate
Angle Addition Postulate
Question 3
Two angles whose measures add up to 180 degrees are ________________(1 point)
Responses
Angle addition postulate
Angle addition postulate
Vertical Angles
Vertical Angles
Supplementary Angles
Supplementary Angles
Adjacent Angles
Adjacent Angles
Supplementary Angles
To find the answers to these questions, we need to understand the concepts of angles and their relationships. Let's break down each question and explain how to find the correct answers.
Question 1: When two lines cross, the opposite angles are ___________ angles and are congruent.
To answer this question, we need to know the name of the angles formed when two lines intersect and have a specific relationship. These angles are called vertical angles. Vertical angles are formed by two intersecting lines and are opposite each other. The important thing to note is that vertical angles are congruent, meaning they have equal measures. So, the correct answer is "Vertical Angles."
Question 2: Two angles that share a side and a vertex but do not overlap.
To answer this question, we need to know the name of the angles that have a common side and a common vertex but do not overlap. These angles are called adjacent angles. Adjacent angles share a common side and vertex but do not overlap each other. For example, if we have a line segment AB and angles ∠ABC and ∠CBD, where point B is the common vertex and side AB is the common side, then these angles are adjacent angles. So, the correct answer is "Adjacent Angles."
Question 3: Two angles whose measures add up to 180 degrees are ____________.
To answer this question, we need to know the name of the angles that add up to a total of 180 degrees. These angles are called supplementary angles. Supplementary angles are two angles that, when added together, equal 180 degrees. For example, if angle A measures 60 degrees and angle B measures 120 degrees, then angle A and angle B are supplementary angles because their measures add up to 180 degrees. So, the correct answer is "Supplementary Angles."
In summary, when two lines intersect, the opposite angles are called vertical angles and are congruent. Two angles that share a side and a vertex but do not overlap are called adjacent angles. Lastly, two angles whose measures add up to 180 degrees are called supplementary angles.