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Can you identify the types of angles observing the orientation of lines? Take this quiz and learn more about it now! Just answers to some questions on our lines and angles quiz and test your knowledge. If you wish to learn more about the concept, we suggest you take our quiz to brush up on your knowledge! If you have a test coming up on the topic then this quiz is perfect for you! Just pick the correct answer to prepare well! Good luck studying!
Questions and Answers
1.
Angles 3 and 4 are __________________.
A.
Complimentary
B.
Supplementary
C.
Vertical
D.
Corresponding
Correct Answer
C. Vertical
Explanation Angles 3 and 4 are vertical angles. Vertical angles are formed when two lines intersect. They are opposite each other and have equal measures. In this case, angles 3 and 4 are opposite each other and have the same measure, making them vertical angles.
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2.
If the angle shown in pink is labled 45 degrees, what is the measurement of angle 1?
A.
45 degrees
B.
135 degrees
C.
90 degrees
D.
Unable to determine
Correct Answer
A. 45 degrees
Explanation Angle 1 is the same as the angle shown in pink, which is labeled as 45 degrees. Therefore, the measurement of angle 1 is also 45 degrees.
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3.
Angles 1 and 2 are ___________ angles.
A.
Interior Adjacent Angles
B.
Exterior Consecutive Angles
C.
Alternate interior
D.
Vertical Angles
Correct Answer
C. Alternate interior
Explanation When two parallel lines are cut by a transversal, the pairs of angles on opposite sides of the transversal and inside the two lines are called alternate interior angles. In the given figure, angles 1 and 2 are on opposite sides of the transversal and inside the two lines, so they are alternate interior angles.
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4.
In geometry, what type of angle measures exactly 90 degrees?
A.
Acute angle
B.
Obtuse angle
C.
Right angle
D.
Reflex angle
Correct Answer
C. Right angle
Explanation Right angle: This is the correct answer. A right angle measures exactly 90 degrees, forming a perfect L-shape, like the corner of a square or rectangle.
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5.
When you add angle 1 and angle 4's measurements, you get how many degrees? (Give a number.)
Correct Answer 180
Explanation When you add the measurements of angle 1 and angle 4, you get a sum of 180 degrees.
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6.
Which of the following pairs represents Alternate Exterior Angles?
A.
1,2
B.
2,3
C.
4,5
D.
1,6
Correct Answer
D. 1,6
7.
Which of the following pairs represents Alternate Interior Angles?
A.
4,5
B.
6,7
C.
2,8
D.
1,8
Correct Answer
A. 4,5
8.
Adjacent angles share a _______ and have a common side. (One word - spelling counts!)
Correct Answer vertex
Explanation Adjacent angles share a vertex, which is the point where the two angles meet. They also have a common side, meaning that one side of each angle is the same.
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9.
Two angles whose measurements add up to 90 degrees are said to be _____________.
A.
Congruent
B.
Comparable
C.
Complementary
D.
Critical
Correct Answer
C. Complementary
Explanation Complementary angles are two angles that add up to 90 degrees. They can be adjacent (sharing a side) or non-adjacent. Understanding complementary angles is crucial in geometry and trigonometry for solving problems involving right angles and triangles.
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10.
True or False. Think about this one....Assuming the lines are parallel in this diagram, if you added ALL the Alternate Interior Angles together, and then you added the measurements of ALL the Alternate Exterior Angles together, the 2 total measurements would be equal to each other.
A.
True
B.
False
Correct Answer
A. True
Explanation If the lines in the diagram are parallel, then the alternate interior angles and alternate exterior angles are congruent. Therefore, if you add all the measurements of the alternate interior angles together and add all the measurements of the alternate exterior angles together, the two totals will be equal to each other. This is because alternate interior angles and alternate exterior angles are formed by a transversal intersecting parallel lines, and they are always congruent.
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11.
What term best describes angles 7 and 6?
A.
Acute
B.
Obtuse
C.
Scalene
D.
Adjacent
Correct Answer
D. Adjacent
Explanation Angles 7 and 6 are adjacent angles because they share a common side and a common vertex, and they do not overlap. Adjacent angles are next to each other and form a linear pair if they add up to 180 degrees. Vertical angles are opposite each other when two lines intersect, corresponding angles are on the same side of the transversal in corresponding positions, and alternate interior angles are on opposite sides of the transversal but inside the parallel lines.
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12.
True or False. Angles 4 and 7 are congruent.
A.
True
B.
False
Correct Answer
B. False
Explanation The question states that angles 4 and 7 are congruent. However, since the answer is false, it means that angles 4 and 7 are not congruent.
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