Angle & Triangle Quiz (7.G.5 & 7.G.2)

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  • 1/20 Questions

    If we know that the blue angle is 99°, what is the measure of angle x?

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About This Quiz

Explore the fundamentals of geometry with our Angle & Triangle Quiz! Assess your understanding of congruent angles, vertical angles, acute angles, and more. Perfect for enhancing your skills in identifying and solving problems related to angles and triangles.

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  • 2. 
    An angle with a measure of 90 degrees - ProProfs

    An angle with a measure of 90 degrees

    • Staight angle

    • Acute angle

    • Angle

    • Right angle

    Correct Answer
    A. Right angle
    Explanation
    A right angle is a type of angle that measures exactly 90 degrees. It is formed when two lines intersect each other perpendicular to each other. The other options, such as a straight angle, acute angle, and angle, do not have a specific measure of 90 degrees. A straight angle measures 180 degrees, an acute angle measures less than 90 degrees, and an angle is a general term that can refer to any measure of degrees. Therefore, the correct answer is right angle.

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  • 3. 
    An angle with a measure greater than 90 degrees and less than 180 degrees - ProProfs

    An angle with a measure greater than 90 degrees and less than 180 degrees

    • Acute angle

    • Right angle

    • Angle

    • Obtuse angle

    Correct Answer
    A. Obtuse angle
    Explanation
    An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. It is larger than a right angle, which measures exactly 90 degrees, and smaller than a straight angle, which measures exactly 180 degrees.

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  • 4. 
    An angle with a measure less than 90 degrees - ProProfs

    An angle with a measure less than 90 degrees

    • Straight angle

    • Acute angle

    • Obtuse angle

    • Right angle

    Correct Answer
    A. Acute angle
    Explanation
    An acute angle is an angle that measures less than 90 degrees. It is smaller than a right angle (90 degrees) and a straight angle (180 degrees), and larger than an obtuse angle (greater than 90 degrees). In other words, an acute angle is a sharp angle that is less than a quarter turn.

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  • 5. 
    An angle with a measure of 180 degrees - ProProfs

    An angle with a measure of 180 degrees

    • Straight angle

    • Acute angle

    • Adjacent angles

    • Right angle

    Correct Answer
    A. Straight angle
    Explanation
    A straight angle is formed when two rays lie on the same line and create a straight line. It measures exactly 180 degrees, making it the largest possible angle. This angle is often represented by a straight line with a small arc in the middle. It is called a straight angle because it forms a straight line.

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  • 6. 
    If <QPS is a right angle and m<RPS = 16°, what is m<QPR? - ProProfs

    If <QPS is a right angle and m<RPS = 16°, what is m<QPR?

    Correct Answer
    74
    74°
    74 degrees
    Explanation
    The question states that angle QPS is a right angle and angle RPS measures 16 degrees. Since angle QPS is a right angle, it measures 90 degrees. Therefore, angle QPR is the difference between angle QPS and angle RPS, which is 90 - 16 = 74 degrees.

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  • 7. 
    If we know that the blue angle is 116°, what is the measure of angle x? - ProProfs

    If we know that the blue angle is 116°, what is the measure of angle x?

    Correct Answer
    116
    116°
    116 degrees
    Explanation
    The measure of angle x is 116 degrees because the given information states that the blue angle is 116 degrees, and angle x is the same as the blue angle.

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  • 8. 
    If m<LON = 180° and m<MON = 133°, what is m<LOM? - ProProfs

    If m<LON = 180° and m<MON = 133°, what is m<LOM?

    Correct Answer
    47
    47°
    47 degrees
    Explanation
    The measure of angle LOM can be determined by subtracting the measure of angle MON from the measure of angle LON. Given that m

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  • 9. 
    If \angle QPS<QPS is a right angle and m<QPR = 48°, what is m<RPS? - ProProfs

    If \angle QPS<QPS is a right angle and m<QPR = 48°, what is m<RPS?

    Correct Answer
    42
    42°
    42 degrees
    Explanation
    Since angle QPS is a right angle, it measures 90 degrees. Given that angle QPR measures 48 degrees, we can subtract this from 90 degrees to find angle RPS. Therefore, angle RPS measures 42 degrees.

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  • 10. 
    Two angles whose measures add to 180 degrees - ProProfs

    Two angles whose measures add to 180 degrees

    • Congruent angles

    • Adjacent angles

    • Complementary angles

    • Supplementary angles

    Correct Answer
    A. Supplementary angles
    Explanation
    Supplementary angles are two angles whose measures add up to 180 degrees. This means that when the measures of two angles are added together, the sum will always be 180 degrees. Therefore, the correct answer is "supplementary angles".

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  • 11. 
    A figure formed by two rays with a common endpoint - ProProfs

    A figure formed by two rays with a common endpoint

    • Ray

    • Line

    • Point

    • Angle

    Correct Answer
    A. Angle
    Explanation
    An angle is a figure formed by two rays with a common endpoint. It consists of two arms, which are the rays, and a vertex, which is the common endpoint. The rays extend indefinitely in opposite directions, creating the shape of an angle.

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  • 12. 
    Two angles that share a vertex and a side but no points in their interiors - ProProfs

    Two angles that share a vertex and a side but no points in their interiors

    • Acute angle

    • Congruent angles

    • Adjacent angles

    • Straight angle

    Correct Answer
    A. Adjacent angles
    Explanation
    Adjacent angles are two angles that share a common vertex and a common side, but do not have any points in their interiors. In other words, they are side by side and do not overlap.

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  • 13. 
    Angles formed by two intersecting lines, and are opposite each other - ProProfs

    Angles formed by two intersecting lines, and are opposite each other

    • Vertical angles

    • Complementary angles

    • Supplementary angles

    • Adjacent angles

    Correct Answer
    A. Vertical angles
    Explanation
    Vertical angles are formed when two lines intersect. They are opposite each other and share a common vertex. These angles have equal measures and are congruent. In other words, if one angle measures x degrees, then its vertical angle will also measure x degrees. Vertical angles are important in geometry and are used to solve various problems involving angles and lines.

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  • 14. 
    Angles that have the same measure - ProProfs

    Angles that have the same measure

    • Complementary angles

    • Obtuse angle

    • Adjacent angles

    • Congruent angles

    Correct Answer
    A. Congruent angles
    Explanation
    Congruent angles are angles that have the same measure. This means that the angles are equal in size and can be superimposed on each other. When two angles are congruent, their measures are equal, and they have the same shape and orientation. Therefore, congruent angles can be considered identical.

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  • 15. 

    There are some measurements that result in exactly two triangles.

    • True

    • False

    Correct Answer
    A. True
    Explanation
    This statement is true because there are certain measurements, such as having three sides of different lengths, where it is possible to form exactly two triangles. In such cases, the triangle inequality theorem is satisfied, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. This allows for the formation of two distinct triangles.

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  • 16. 
    Two angles whose measures add to 90 degrees - ProProfs

    Two angles whose measures add to 90 degrees

    • Right angle

    • Adjacent angles

    • Complementary angles

    • Supplementary angles

    Correct Answer
    A. Complementary angles
    Explanation
    Complementary angles are two angles whose measures add up to 90 degrees. In other words, when you add the measures of two complementary angles, the sum will always be 90 degrees.

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  • 17. 

    Which set of angles will not form a triangle? (You may use scratch paper to draw it if you would like)

    • 90°, 50°, 40°

    • 30°, 100°, 50°

    • 100°, 80°, 20°

    • 45°, 45°, 90°

    Correct Answer
    A. 100°, 80°, 20°
    Explanation
    The sum of the angles in a triangle is always 180 degrees. In the first three sets of angles, the sum of the angles is 180 degrees, so they can form a triangle. However, in the last set of angles, the sum is 180 degrees, so they cannot form a triangle.

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  • 18. 

    Which set of lengths can form exactly one triangle? (Use scratch paper to draw it if you would like.)

    • 16 feet, 8 feet, 4 feet

    • 16 feet, 10 feet, 4 feet

    • 16 feet, 12 feet, 4 feet

    • 16 feet, 14 feet, 4 feet

    • None of the above

    Correct Answer
    A. 16 feet, 14 feet, 4 feet
    Explanation
    In order for a set of lengths to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. If we add the lengths of the sides in each set, we can see that only the set 16 feet, 14 feet, 4 feet satisfies this condition. Therefore, this set can form exactly one triangle.

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  • 19. 

    Which set of lengths can form exactly one triangle? (Use scratch paper to draw it if you would like.)

    • 6 inches, 8 inches, 2 inches

    • 6 inches, 16 inches, 5 inches

    • 7 inches, 14 inches, 7 inches

    • 19 inches, 14 inches, 4 inches

    • None of the above

    Correct Answer
    A. None of the above
    Explanation
    According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In the given options, none of the sets of lengths satisfy this condition. For example, in the first option, the sum of the lengths of the two shorter sides (6 inches and 2 inches) is less than the length of the longest side (8 inches), violating the triangle inequality theorem. Therefore, none of the given sets of lengths can form exactly one triangle.

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  • 20. 

    Which set of angles will form exactly one triangle? (You may use scratch paper to draw it if you would like)

    • 90°, 50°, 40°

    • 30°, 100°, 50°

    • 100°, 80°, 20°

    • 45°, 45°, 45°

    • None of the above

    Correct Answer
    A. None of the above
    Explanation
    None of the given sets of angles will form exactly one triangle. In order to form a triangle, the sum of the measures of any two angles must be greater than the measure of the third angle. However, in the given sets of angles, this condition is not satisfied. For example, in the set of angles 90°, 50°, 40°, the sum of the measures of the two smaller angles (50° + 40° = 90°) is equal to the measure of the largest angle (90°), which means that the angles cannot form a triangle. The same reasoning can be applied to the other sets of angles as well.

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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • May 12, 2015
    Quiz Created by
    Andrea.peterson
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