Triangle Congruence Properties Quiz

Explore triangle congruence properties with questions on ASA, SSS, SAS criteria, and more in this geometry quiz.

#1

Which pair of congruent angles are enough to prove two triangles are congruent by ASA (Angle-Side-Angle) criterion?

Two angles
One angle and the side between them
Two angles and the side opposite one of them
Two sides and the angle between them
#2

In triangle congruence, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, which criterion is being used?

Side-Side-Side (SSS)
Side-Angle-Side (SAS)
Angle-Side-Angle (ASA)
Angle-Angle-Side (AAS)
#3

In triangle congruence, if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, which criterion is being used?

Angle-Angle (AA)
Angle-Side-Angle (ASA)
Angle-Side-Side (ASS)
Side-Angle-Side (SAS)
#4

What is the name of the theorem used to prove triangles congruent if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle?

Angle-Bisector Theorem
Angle Addition Postulate
Side-Angle-Side (SAS) Theorem
Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
#5

Which congruence criterion can be used to prove two triangles congruent if the lengths of two sides and the included angle of one triangle are equal to the lengths of two sides and the included angle of the other triangle?

Angle-Side-Angle (ASA)
Side-Side-Side (SSS)
Side-Angle-Side (SAS)
Angle-Angle-Side (AAS)
#6

Which of the following statements about the HL (Hypotenuse-Leg) congruence criterion is true?

It can only be applied to right-angled triangles.
It requires the hypotenuse and one leg of one triangle to be congruent to the corresponding parts of another triangle.
It stands for 'Hypotenuse-Leg-Leg'.
It is not a valid congruence criterion.
#7

If two triangles are congruent, what can be said about their corresponding angles and sides?

Their corresponding angles are congruent, but their corresponding sides may not be congruent.
Their corresponding sides are congruent, but their corresponding angles may not be congruent.
Both their corresponding angles and sides are congruent.
None of the above.
#8

In triangle congruence, which pair of triangles must have their corresponding sides and angles in the same order to be congruent?

Acute triangles
Right triangles
Obtuse triangles
Any type of triangles
#9

Which of the following is NOT a valid congruence criterion for triangles?

Side-Angle-Side (SAS)
Angle-Angle-Side (AAS)
Side-Side-Angle (SSA)
Angle-Side-Angle (ASA)
#10

If two triangles are congruent, what can be said about their corresponding medians, altitudes, and angle bisectors?

Their corresponding medians, altitudes, and angle bisectors are congruent.
Their corresponding medians, altitudes, and angle bisectors may not be congruent.
Their corresponding medians are congruent, but their altitudes and angle bisectors may not be congruent.
None of the above.
#11

If two triangles are congruent, what can be said about their corresponding altitudes?

Their corresponding altitudes are congruent.
Their corresponding altitudes may not be congruent.
Their corresponding altitudes are parallel.
None of the above.
#12

Which of the following is a postulate used to prove congruence between two triangles?

Side-Angle-Side (SAS) Postulate
Angle-Bisector Postulate
Angle Addition Postulate
CPCTC Postulate

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