Congruence in Triangles and Justifications Quiz

Explore congruence in triangles through 17 questions covering angles, sides, and criteria. Test yourself now!

#1

In a triangle ABC, if ∠A = 50° and ∠B = 70°, what is the measure of ∠C?

40°
60°
70°
80°
#2

If two triangles have their corresponding sides equal, then they are:

Similar
Equal
Congruent
None of the above
#3

In triangle GHI, if ∠G = 80° and ∠H = 60°, what is the measure of ∠I?

40°
50°
70°
100°
#4

In triangle JKL, if ∠J = 40° and ∠K = 70°, what is the measure of ∠L?

50°
70°
80°
110°
#5

If two sides of a triangle are 6 cm and 8 cm, what is the maximum possible length of the third side?

14 cm
12 cm
10 cm
16 cm
#6

In triangle ABC, if AB = 5 cm, BC = 7 cm, and AC = 8 cm, what type of triangle is ABC?

Equilateral
Isosceles
Scalene
Right-angled
#7

Which of the following statements is true regarding congruent triangles?

Their corresponding angles are equal
Their corresponding sides are proportional
Their corresponding sides are equal in length
They always have the same perimeter
#8

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

SSS (Side-Side-Side)
SAS (Side-Angle-Side)
SSA (Side-Side-Angle)
ASA (Angle-Side-Angle)
#9

If two angles of one triangle are equal to two angles of another triangle, then the two triangles are:

Similar
Congruent
Neither similar nor congruent
Cannot be determined
#10

In triangle PQR, if PQ = 4 cm, QR = 6 cm, and PR = 8 cm, what type of triangle is PQR?

Acute-angled
Obtuse-angled
Right-angled
Scalene
#11

If two triangles are congruent, what can you say about their corresponding angles?

They are always equal
They may or may not be equal
They are always supplementary
They are always complementary
#12

In triangle XYZ, if ∠X = 40° and ∠Y = 60°, what is the measure of ∠Z?

80°
90°
100°
120°
#13

If in two triangles, corresponding angles are equal, then the two triangles are:

Congruent
Similar
Neither congruent nor similar
Cannot be determined
#14

In triangle LMN, if ∠L = 70° and ∠M = 60°, what is the measure of ∠N?

50°
60°
70°
80°
#15

If two sides and the included angle of one triangle are respectively equal to two sides and the included angle of another triangle, then the two triangles are:

Similar
Congruent
Neither similar nor congruent
Cannot be determined
#16

In triangle XYZ, if XY = 6 cm, YZ = 8 cm, and ∠Y = 90°, what is the length of XZ?

4 cm
10 cm
14 cm
18 cm
#17

If two angles of one triangle are equal to two angles of another triangle, but the sides including these angles are not proportional, then the two triangles are:

Congruent
Similar
Neither congruent nor similar
Cannot be determined

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