8th Grade Mathematics Trivia Quiz On Geometry!

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  • 1/20 Questions

    What do you call a triangle with no equal sides?

    • Equilateral Triangle
    • Scalene Triangle
    • Isosceles Triangle
    • Obtuse Triangle
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About This Quiz

Below is a 8th grade mathematics trivia quiz on geometry. Geometry can actually be super fun if you decide to revise every problem you learn how to solve and the quiz below is ideal to help you work out some common geometry problems students get confused on. How about you check it out and keep a look out for more geometry quizzes to sharpen your skills before you sit for an exam.

8th Grade Mathematics Trivia Quiz On Geometry! - Quiz

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  • 2. 

    What do you call a triangle with three congruent sides?

    • Equilateral Triangle

    • Scalene Triangle

    • Obtuse Triangle

    • Equiangular Triangle

    Correct Answer
    A. Equilateral Triangle
    Explanation
    An equilateral triangle is a type of triangle that has three congruent sides. The term "equilateral" means "equal sides," so all three sides of an equilateral triangle are the same length. This distinguishes it from a scalene triangle, which has three sides of different lengths, and an obtuse triangle, which has one angle greater than 90 degrees. An equiangular triangle, on the other hand, is a triangle with three congruent angles, but it does not necessarily have congruent sides.

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  • 3. 
    Classify the triangle based on its side lengths. - ProProfs

    Classify the triangle based on its side lengths.

    • Scalene Triangle

    • Equilateral Triangle

    • Isosceles Triangle

    • Obtuse Triangle

    Correct Answer
    A. Equilateral Triangle
    Explanation
    The correct answer is "Equilateral Triangle". An equilateral triangle is a type of triangle where all three sides have the same length. In other words, all sides of an equilateral triangle are equal. This is different from a scalene triangle, where all three sides have different lengths, and an isosceles triangle, where only two sides have the same length. An oblique triangle refers to any triangle that is not a right triangle.

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  • 4. 
    What must be the value of x in the figure below? - ProProfs

    What must be the value of x in the figure below?

    • 110

    • 105

    • 100

    • 95

    Correct Answer
    A. 110
  • 5. 
    Classify the triangle based on its side lengths and angle measures. - ProProfs

    Classify the triangle based on its side lengths and angle measures.

    • Equiangular Triangle

    • Scalene Triangle

    • Obtuse Triangle

    • Isosceles Triangle

    Correct Answer
    A. Isosceles Triangle
    Explanation
    An isosceles triangle is a triangle that has two sides of equal length and two angles of equal measure. In this classification, the triangle is not specified to have equal angle measures, so it cannot be an equiangular triangle. It is also not specified to have all different side lengths, so it cannot be a scalene triangle. Lastly, it is not specified to have one angle greater than 90 degrees, so it cannot be an obtuse triangle. Therefore, the correct classification for the given triangle is an isosceles triangle.

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  • 6. 
    What postulate proves that the triangles are congruent? - ProProfs

    What postulate proves that the triangles are congruent?

    • SSS

    • ASA

    • SSA

    • HL

    Correct Answer
    A. ASA
    Explanation
    The ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. In this case, the question is asking for the postulate that proves the triangles are congruent, and the correct answer is ASA. This means that the given information in the question is sufficient to prove that the triangles are congruent based on the ASA postulate.

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  • 7. 
    State what additional information is required in order to know that the triangles are congruent based on the HL Postulate. - ProProfs

    State what additional information is required in order to know that the triangles are congruent based on the HL Postulate.

    • SQ ≈ VU

    • SR ≈ VU

    • SR ≈ VT

    • QR ≈ VT

    Correct Answer
    A. SR ≈ VU
    Explanation
    To know that the triangles are congruent based on the HL Postulate, we need to know the length of the hypotenuse of both triangles. The given information only tells us that SR is congruent to VU, but it does not provide any information about the length of the hypotenuse. Therefore, we need additional information about the length of VT in order to determine if the triangles are congruent using the HL Postulate.

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  • 8. 
    What must be the value of  x in the figure below? - ProProfs

    What must be the value of  x in the figure below?

    • 68

    • 66

    • 64

    • 62

    Correct Answer
    A. 64
    Explanation
    Based on the given information, the values in the figure are decreasing by 2 each time. Therefore, the next value in the sequence would be 60, and since the question asks for the value of x, the answer is 64.

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  • 9. 
    Classify the triangle based on its angle measures. - ProProfs

    Classify the triangle based on its angle measures.

    • Equiangular Triangle

    • Equilateral Triangle

    • Right Triangle

    • Scalene Triangle

    Correct Answer
    A. Equiangular Triangle
    Explanation
    An equiangular triangle is a triangle where all three angles are equal. This means that all three angles measure 60 degrees. In contrast, an equilateral triangle is a triangle where all three sides are equal in length, but the angles can vary. A right triangle is a triangle that has one angle measuring 90 degrees. Finally, a scalene triangle is a triangle where all three sides have different lengths and all three angles have different measures. Therefore, the correct answer is equiangular triangle because it specifically refers to a triangle with equal angle measures.

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  • 10. 
    What postulate proves that the triangles are congruent?  - ProProfs

    What postulate proves that the triangles are congruent? 

    • SSS

    • ASA

    • SSA

    • HL

    Correct Answer
    A. SSS
    Explanation
    The SSS (Side-Side-Side) postulate proves that the triangles are congruent. This postulate states that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. Therefore, if all three sides of the triangles are congruent, the triangles must be congruent.

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  • 11. 
    What postulate proves that the triangles are congruent? - ProProfs

    What postulate proves that the triangles are congruent?

    • SSS

    • ASA

    • AAS

    • HL

    Correct Answer
    A. AAS
    Explanation
    The AAS postulate states that if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent. In this case, the given information states that two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, which satisfies the AAS postulate. Therefore, the AAS postulate proves that the triangles are congruent.

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  • 12. 
    State what additional information is required in order to know that the triangles are congruent based on the SSS Postulate. - ProProfs

    State what additional information is required in order to know that the triangles are congruent based on the SSS Postulate.

    • CB ≈ ZY

    • CB ≈ YX

    • AC ≈ YX

    • AC ≈ ZY

    Correct Answer
    A. CB ≈ YX
    Explanation
    In order to know that the triangles are congruent based on the SSS Postulate, we need to know that AC ≈ ZY. This information is missing from the given statements. Without this additional information, we cannot conclude that the triangles are congruent based on the SSS Postulate.

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  • 13. 
    What must be the value of the number 5 in the figure below? - ProProfs

    What must be the value of the number 5 in the figure below?

    • 72

    • 62

    • 65

    • 75

    Correct Answer
    A. 75
  • 14. 
    What must be the value of  x in the figure below? - ProProfs

    What must be the value of  x in the figure below?

    • 36

    • 26

    • 16

    • 6

    Correct Answer
    A. 26
    Explanation
    In the given figure, the numbers are decreasing by 10 each time. Starting from 36, subtracting 10 gives 26. Therefore, the value of x must be 26.

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  • 15. 
    State what additional information is required in order to know that the triangles are congruent based on the SAS Postulate. - ProProfs

    State what additional information is required in order to know that the triangles are congruent based on the SAS Postulate.

    • Angle CBA ≈ angle ADC

    • Angle BAC ≈ angle DAC

    • Angle CAB ≈ angle ACD

    • Angle BCD ≈ angle DAB

    Correct Answer
    A. Angle CBA ≈ angle ADC
    Explanation
    To know that the triangles are congruent based on the SAS (Side-Angle-Side) postulate, we need the additional information of the sides. The SAS postulate states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. Therefore, in addition to the given angle congruences, we need information about the sides of the triangles to determine their congruence.

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  • 16. 
    What postulate proves that the triangles are congruent aside from the SSA Postulate? - ProProfs

    What postulate proves that the triangles are congruent aside from the SSA Postulate?

    • SSS

    • ASA

    • SAS

    • HL

    Correct Answer
    A. HL
    Explanation
    The HL (Hypotenuse-Leg) postulate proves that two right triangles are congruent if their hypotenuses are congruent and one pair of corresponding legs is congruent. This postulate is specific to right triangles and cannot be used to prove congruence for other types of triangles. The SSA (Side-Side-Angle) postulate is not a valid postulate for proving triangle congruence because it does not guarantee congruence in all cases.

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  • 17. 
    The pair of triangles below has two corresponding sides and angles marked congruent. Indicate the additional information needed to enable us to apply the SAS Congruence Postulate. - ProProfs

    The pair of triangles below has two corresponding sides and angles marked congruent. Indicate the additional information needed to enable us to apply the SAS Congruence Postulate.

    • CA ≈ AC

    • BA ≈ AD

    • BC ≈ DC

    • BD ≈ AC

    Correct Answer
    A. CA ≈ AC
    Explanation
    To apply the SAS Congruence Postulate, we need to know that the corresponding angles between the congruent sides are also congruent. In this case, we don't have any information about the angles, so we cannot apply the SAS Congruence Postulate.

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  • 18. 
    State what additional information is required in order to know that the triangles are congruent based on the ASA Postulate. - ProProfs

    State what additional information is required in order to know that the triangles are congruent based on the ASA Postulate.

    • CB ≈ FE

    • AC ≈ DF

    • AB ≈ DE

    • AC ≈ FE

    Correct Answer
    A. AB ≈ DE
    Explanation
    To know that the triangles are congruent based on the ASA Postulate, we need to have information about the measures of the included angles. The ASA Postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. Therefore, we need to know the measures of the angles at points B, C, D, and E to determine if the triangles are congruent.

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  • 19. 
    What must be the value of x in the figure below?    - ProProfs

    What must be the value of x in the figure below?   

    • 78

    • 88

    • 76

    • 86

    Correct Answer
    A. 86
    Explanation
    Based on the given options, the value of x must be 86.

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  • 20. 
    The pair of triangles below has two corresponding sides and angles marked congruent. Indicate the additional information needed to enable us to apply the ASA Congruence Postulate. - ProProfs

    The pair of triangles below has two corresponding sides and angles marked congruent. Indicate the additional information needed to enable us to apply the ASA Congruence Postulate.

    • Angle BCA ≈ angle DCA

    • Angle BAC ≈ angle DAC

    • Angle ABC ≈ angle ADC

    • Angle ACB ≈ angle ACB

    Correct Answer
    A. Angle ABC ≈ angle ADC
    Explanation
    In order to apply the ASA Congruence Postulate, we need to have the additional information of a side that is congruent between the two triangles. The given information only includes congruent angles, but we need a side to complete the ASA criteria. Therefore, without the additional information of a congruent side, we cannot apply the ASA Congruence Postulate.

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  • Current Version
  • Oct 22, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Apr 30, 2016
    Quiz Created by
    Lauree
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