Proving Angles Congruent and Angle Relationships Quiz

Test your knowledge of angles in triangles and quadrilaterals with these congruence questions. Learn about angle properties and postulates.

#1

In a right triangle, what is the name of the angle opposite the hypotenuse?

Acute angle
Right angle
Obtuse angle
None of the above
#2

If two angles are complementary, what is their sum?

90 degrees
180 degrees
270 degrees
360 degrees
#3

In a parallelogram, what can you conclude about consecutive angles?

They are complementary
They are supplementary
They are congruent
They are equal to 90 degrees
#4

If m∠A = 60° and m∠B = 120°, what is the measure of ∠C in triangle ABC?

30 degrees
60 degrees
90 degrees
120 degrees
#5

If two angles are congruent and supplementary, what can you conclude about their measures?

They are both right angles
They are both acute angles
They are both obtuse angles
They are both straight angles
#6

What is the congruence statement for two vertical angles?

∠A ≅ ∠C
∠A ≅ ∠B
∠A ≅ ∠D
∠A ≅ ∠E
#7

Which of the following is NOT a valid method to prove two triangles congruent?

SSS (Side-Side-Side) Congruence Postulate
SAS (Side-Angle-Side) Congruence Postulate
AAA (Angle-Angle-Angle) Congruence Postulate
HL (Hypotenuse-Leg) Congruence Postulate
#8

Which 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 triangles are congruent?

ASA (Angle-Side-Angle) Congruence Theorem
SSS (Side-Side-Side) Congruence Theorem
SAS (Side-Angle-Side) Congruence Theorem
AAS (Angle-Angle-Side) Congruence Theorem
#9

If two angles form a linear pair, what can you conclude about their sum?

Their sum is 90 degrees
Their sum is 180 degrees
Their sum is 270 degrees
Their sum is 360 degrees
#10

Which congruence theorem 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?

ASA (Angle-Side-Angle) Congruence Theorem
SSS (Side-Side-Side) Congruence Theorem
SAS (Side-Angle-Side) Congruence Theorem
AAS (Angle-Angle-Side) Congruence Theorem
#11

In triangle ABC, if ∠A ≅ ∠C, which congruence postulate can be used to prove triangle ABC congruent to triangle DEF?

ASA (Angle-Side-Angle) Congruence Postulate
SSS (Side-Side-Side) Congruence Postulate
AAS (Angle-Angle-Side) Congruence Postulate
SAS (Side-Angle-Side) Congruence Postulate
#12

If in triangle ABC, side AB is congruent to side DE, side AC is congruent to side DF, and angle A is congruent to angle D, which congruence postulate can be used to prove triangle ABC congruent to triangle DEF?

ASA (Angle-Side-Angle) Congruence Postulate
SSS (Side-Side-Side) Congruence Postulate
AAS (Angle-Angle-Side) Congruence Postulate
SAS (Side-Angle-Side) Congruence Postulate
#13

In triangle XYZ, if side XY is congruent to side MN, side XZ is congruent to side MP, and angle X is congruent to angle M, which congruence postulate can be used to prove triangle XYZ congruent to triangle MNP?

ASA (Angle-Side-Angle) Congruence Postulate
SSS (Side-Side-Side) Congruence Postulate
AAS (Angle-Angle-Side) Congruence Postulate
SAS (Side-Angle-Side) Congruence Postulate
#14

In triangle DEF, if side DE is congruent to side JK, side EF is congruent to side KL, and side DF is congruent to side JL, which congruence postulate can be used to prove triangle DEF congruent to triangle JKL?

ASA (Angle-Side-Angle) Congruence Postulate
SSS (Side-Side-Side) Congruence Postulate
AAS (Angle-Angle-Side) Congruence Postulate
SAS (Side-Angle-Side) Congruence Postulate
#15

In triangle PQR, if side PQ is congruent to side RS, side PR is congruent to side RT, and side QR is congruent to side ST, which congruence postulate can be used to prove triangle PQR congruent to triangle RST?

ASA (Angle-Side-Angle) Congruence Postulate
SSS (Side-Side-Side) Congruence Postulate
AAS (Angle-Angle-Side) Congruence Postulate
SAS (Side-Angle-Side) Congruence Postulate

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