Geometry Knowledge Trivia Quiz: How Much Do You Know?

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Geometry Knowledge Trivia Quiz: How Much Do You Know? - Quiz

What we have here is a geometry knowledge trivia quiz: how much do you know? There are a lot of people who have a hard time when it comes to solving some common geometry quizzes, and the quiz below is one way for the ways to test out how good one's skills actually are. If you think you can rise up to the challenge by getting every question right, this quiz is for you. Check it out!


Questions and Answers
  • 1. 

    What is the length of AB?

    • A.

      9

    • B.

      37

    • C.

      23

    • D.

      18

    Correct Answer
    B. 37
  • 2. 

    .  Point Z lies between X and Y. If XY = 77 and ZY = 28, what is the length of XZ

    • A.

      105

    • B.

      38.5

    • C.

      49

    • D.

      47

    Correct Answer
    C. 49
    Explanation
    Point Z lies between points X and Y. We are given that XY = 77 and ZY = 28. To find the length of XZ, we need to subtract ZY from XY. Therefore, XZ = XY - ZY = 77 - 28 = 49.

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  • 3. 

    Point C is the midpoint of AB.  What segment is congruent to AC?

    • A.

      CB

    • B.

      DB

    • C.

      CD

    • D.

      AB

    Correct Answer
    A. CB
    Explanation
    Since point C is the midpoint of AB, it means that AC is half the length of AB. Therefore, segment CB is congruent to AC because they have the same length.

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  • 4. 

    Point Y is the midpoint of XZ, and point W is the midpoint of XY If XW = 3, what is YZ?

    • A.

      9

    • B.

      3

    • C.

      12

    • D.

      6

    Correct Answer
    D. 6
    Explanation
    Since point Y is the midpoint of XZ and point W is the midpoint of XY, we can conclude that YW is equal to WX. Since XW is given as 3, YW and WX both have a length of 3. Therefore, YZ is equal to YW + WX, which is 3 + 3 = 6.

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  • 5. 

    What is the measure of angle BAD?

    • A.

      6

    • B.

      56

    • C.

      90

    • D.

      180

    Correct Answer
    B. 56
    Explanation
    The measure of angle BAD is 56 degrees. This can be determined by using the fact that in a triangle, the sum of all angles is 180 degrees. Since angle BAC is 90 degrees (given in the options), and angle CAD is 34 degrees (180 - 90 - 34 = 56), angle BAD must also be 56 degrees in order for the sum of all angles in the triangle to equal 180 degrees.

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  • 6. 

    What word best describes the relationship between the two angles below?

    • A.

      Complementary

    • B.

      Supplementary

    • C.

      Linear pair

    • D.

      None of the above

    Correct Answer
    A. Complementary
    Explanation
    The word "complementary" best describes the relationship between the two angles below. Complementary angles are two angles that add up to 90 degrees.

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  • 7. 

    If angle A and angle L are complementary, and mA = x+15, and mL = 34, What is x?

    • A.

      146

    • B.

      41

    • C.

      56

    • D.

      131

    Correct Answer
    B. 41
    Explanation
    If angles A and L are complementary, it means that the sum of their measures is 90 degrees. So, we can set up the equation mA + mL = 90. Given that mL = 34, we can substitute this into the equation to get mA + 34 = 90. To solve for mA, we need to isolate it, so we subtract 34 from both sides of the equation, which gives us mA = 90 - 34. Simplifying further, we find that mA = 56. However, the question asks for the value of x, which is equal to mA - 15. Substituting the value of mA, we get x = 56 - 15, which equals 41. Therefore, the correct answer is 41.

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  • 8. 

    What is the measure of angle DAE?

    • A.

      52°

    • B.

      128°

    • C.

      90°

    • D.

      25°

    Correct Answer
    A. 52°
    Explanation
    The measure of angle DAE is 52°. This can be determined by using the fact that angles on a straight line add up to 180°. Angle DAE is adjacent to a 90° angle, so the remaining angle must be 90° as well. Therefore, the angle DAE must be 180° - 90° = 90°.

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  • 9. 

    What is the measure of angle BAE?

    • A.

      145°

    • B.

      52°

    • C.

      128°

    • D.

      34°

    Correct Answer
    C. 128°
    Explanation
    The measure of angle BAE is 128°.

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  • 10. 

    What word below best describes the relationship between angles 4 and 2?

    • A.

      Linear pair

    • B.

      Vertical angles

    • C.

      Supplementary

    • D.

      Complimentary

    Correct Answer
    B. Vertical angles
    Explanation
    Vertical angles are formed when two lines intersect. They are opposite angles and are equal in measure. In this case, angles 4 and 2 are opposite angles formed by the intersection of two lines. Therefore, the best word to describe their relationship is "vertical angles".

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  • 11. 

    What is x?

    • A.

      10

    • B.

      20

    • C.

      5

    • D.

      Not enough information

    Correct Answer
    B. 20
  • 12. 

    What is w?

    • A.

      155°

    • B.

      65°

    • C.

      25°

    • D.

      55°

    Correct Answer
    C. 25°
  • 13. 

    What is y?

    • A.

      25°

    • B.

      155°

    • C.

      65°

    • D.

      55°

    Correct Answer
    B. 155°
    Explanation
    The answer is 155° because it is the only option that is not a multiple of 5. The other options, 25°, 65°, and 55°, are all multiples of 5.

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  • 14. 

    What kind of angles are A and E?

    • A.

      Vertical

    • B.

      Consecutive interior

    • C.

      Alternate interior

    • D.

      Corresponding

    Correct Answer
    D. Corresponding
    Explanation
    Angles A and E are corresponding angles. Corresponding angles are formed when a transversal intersects two parallel lines. In this case, the lines that are being intersected by the transversal are not mentioned, but we can assume that they are parallel. Corresponding angles are located in the same position relative to the transversal on each of the parallel lines. Therefore, angles A and E are corresponding angles.

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  • 15. 

    What kind of angles are D and E?

    • A.

      Corresponding

    • B.

      Alternate interior

    • C.

      Consecutive interior

    • D.

      Alternate exterior

    Correct Answer
    B. Alternate interior
    Explanation
    D and E are alternate interior angles because they are on opposite sides of the transversal line and inside the two parallel lines. Alternate interior angles are congruent, meaning they have the same measure.

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  • 16. 

    What types of angles are D and F?

    • A.

      Alternate interior

    • B.

      Corresponding

    • C.

      Consecutive interior

    • D.

      Alternate exterior

    Correct Answer
    C. Consecutive interior
    Explanation
    Consecutive interior angles are formed when a transversal intersects two parallel lines. In this case, angles D and F are consecutive interior angles because they are on the same side of the transversal and inside the parallel lines.

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  • 17. 

    Check the two boxes that describe this triangle:

    • A.

      Scalene

    • B.

      Isosceles

    • C.

      Equilateral

    • D.

      Equiangular

    • E.

      Right

    • F.

      Obtuse

    • G.

      Acute

    Correct Answer(s)
    A. Scalene
    G. Acute
    Explanation
    The triangle is described as "Scalene" because it has three unequal sides. It is also described as "Acute" because all of its angles are less than 90 degrees.

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  • 18. 

    Check the two boxes that describe this triangle:

    • A.

      Scalene

    • B.

      Isosceles

    • C.

      Equilateral

    • D.

      Equiangular

    • E.

      Right

    • F.

      Obtuse

    • G.

      Acute

    Correct Answer(s)
    B. Isosceles
    E. Right
    Explanation
    The given triangle is isosceles because it has two sides of equal length. It is also a right triangle because it has one right angle, which is a 90-degree angle.

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  • 19. 

    Check the two boxes that describe this triangle:

    • A.

      Scalene

    • B.

      Isosceles

    • C.

      Equilateral

    • D.

      Equiangular

    • E.

      Right

    • F.

      Obtuse

    • G.

      Acute

    Correct Answer(s)
    A. Scalene
    F. Obtuse
    Explanation
    This triangle is classified as scalene because it has three sides of different lengths. It is also classified as obtuse because it has one angle that is greater than 90 degrees.

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  • 20. 

    All equilateral triangles are also equiangular.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    An equilateral triangle is a triangle in which all three sides are equal in length. Since all sides are equal, the angles opposite those sides will also be equal. Therefore, all equilateral triangles have three equal angles, making them equiangular as well.

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  • Current Version
  • Oct 08, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 08, 2011
    Quiz Created by
    Tjkim
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