Sss, SAS, ASA, Aas Quiz

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  • 1/13 Questions
    How can you prove the triangles are congruent? - ProProfs

    How can you prove the triangles are congruent?

    • SAS
    • SSS
    • ASA
    • AAS
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About This Quiz

This quiz focuses on triangle congruence using criteria like SSS, SAS, ASA, and AAS. It tests understanding of proving triangles congruent, identifying non-valid criteria like AAA, and completing congruence statements based on figures.

Sss, SAS, ASA, Aas Quiz - Quiz

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  • 2. 
    How can you prove the 2 triangles are congruent? - ProProfs

    How can you prove the 2 triangles are congruent?

    • ASA

    • AAS

    • SAS

    • SSS

    Correct Answer
    A. SSS
    Explanation
    The answer is SSS, which stands for Side-Side-Side. This means that if all three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent. In other words, if the lengths of all three sides of two triangles are equal, then the triangles are congruent.

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  • 3. 
    How can you prove these triangles are congruent - ProProfs

    How can you prove these triangles are congruent

    • SSS

    • SAS

    • ASA

    • HL

    Correct Answer
    A. SAS
    Explanation
    SAS stands for Side-Angle-Side congruence criterion. It states that if two sides and the included angle of one triangle are congruent to the corresponding sides and included angle of another triangle, then the triangles are congruent. In this case, the given triangles can be proven congruent using SAS if we have two sides of one triangle congruent to the corresponding sides of another triangle, and the included angle between those sides is also congruent.

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  • 4. 
    How can you prove the triangles are congruent? - ProProfs

    How can you prove the triangles are congruent?

    • SSS

    • SAS

    • ASA

    • AAS

    Correct Answer
    A. SAS
    Explanation
    The answer is SAS, which stands for Side-Angle-Side. This means that if two triangles have two sides and the included angle of one triangle congruent to the corresponding two sides and included angle of the other triangle, then the triangles are congruent. This can be proven by showing that the corresponding sides and angles are equal in both triangles.

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  • 5. 
    - ProProfs

    • A

    • B

    • C

    • D

    Correct Answer
    A. D
  • 6. 

    Which combination of congruent corresponding parts can you not use to prove two triangles congruent?

    • SAA

    • AAA

    • ASA

    • SAS

    • SSS

    Correct Answer
    A. AAA
    Explanation
    You remembered that you must have at least one pair of congruent sides.

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  • 7. 
    - ProProfs

    • SAS Postulate

    • ASA Postulate

    • AAA Postulate

    • SSS Postulate

    Correct Answer
    A. SAS Postulate
  • 8. 

    Two triangles are necessarily congruent if and only if __________.

    • Their corresponding angles are congruent.

    • Their corresponding sides and corresponding angles are congruent, and they are rotated to the same position.

    • Their corresponding sides and corresponding angles are congruent.

    • Two of their sides are congruent.

    Correct Answer
    A. Their corresponding sides and corresponding angles are congruent.
    Explanation
    Two triangles are necessarily congruent if and only if their corresponding sides and corresponding angles are congruent. This is because congruent triangles have the same shape and size. The corresponding sides of congruent triangles are equal in length, and the corresponding angles are equal in measure. Therefore, if both the sides and angles of two triangles are congruent, they must be the same size and shape, making them congruent.

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  • 9. 
    By which reason can it be proven that triangles DAB and DAC are congruent? - ProProfs

    By which reason can it be proven that triangles DAB and DAC are congruent?

    • AAA

    • AAS

    • SSA

    • SSS

    Correct Answer
    A. AAS
    Explanation
    The reason that triangles DAB and DAC can be proven congruent is by the AAS (Angle-Angle-Side) congruence criterion. This criterion 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, we know that angle D is congruent to itself, angle A is congruent to angle A, and side AD is congruent to itself. Therefore, by the AAS criterion, triangles DAB and DAC are congruent.

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  • 10. 
       by the _______________. - ProProfs

       by the _______________.

    • SAS Postulate

    • SSA Postulate

    • SSS Postulate

    • ASA Postulate

    Correct Answer
    A. SSS Postulate
    Explanation
    The SSS Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. This means that if all three sides of a triangle are equal in length to the corresponding sides of another triangle, then the two triangles are congruent. Therefore, the correct answer is the SSS Postulate.

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  • 11. 
    Which postulate or theorem shows that  - ProProfs

    Which postulate or theorem shows that 

    • ASA Postulate

    • SAS Postulate

    • SSS Postulate

    • AAS Theorem

    Correct Answer
    A. AAS Theorem
    Explanation
    The AAS (Angle-Angle-Side) theorem states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent. This theorem can be used to prove that two triangles are congruent by showing that their corresponding angles and sides are congruent.

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  • 12. 
    Refer to the figure. Complete the congruence statement  - ProProfs

    Refer to the figure. Complete the congruence statement 

    • Triangle VTU

    • Triangle TUV

    • Triangle VUT

    • Triangle UTV

    Correct Answer
    A. Triangle VUT
    Explanation
    The congruence statement can be completed as "Triangle VUT is congruent to Triangle TUV" because the order of the vertices in the congruence statement does not matter. In other words, the triangles are congruent regardless of the order in which the vertices are listed.

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  • 13. 
    Which pair of triangles would you use ASA to prove the congruence of the 2 triangles? - ProProfs

    Which pair of triangles would you use ASA to prove the congruence of the 2 triangles?

    • A

    • B

    • C

    • D

    Correct Answer
    A. B
    Explanation
    The triangles shown in choice C can be proven congruent by ASA. The triangles have 2 pairs of congruent angles and pair of congruent included sides.

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Quiz Review Timeline (Updated): Nov 3, 2023 +

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

  • Current Version
  • Nov 03, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 21, 2019
    Quiz Created by
    K.diaz
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