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Congruence in Triangles and Justifications Quiz

#1

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

40°
Explanation

Sum of angles in a triangle is 180°

#2

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

Congruent
Explanation

Corresponding sides of congruent triangles are equal

#3

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

40°
Explanation

Sum of angles in a triangle is 180°

#4

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

50°
Explanation

Sum of angles in a triangle is 180°

#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
Explanation

Triangle inequality theorem

#6

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

Scalene
Explanation

No sides are equal in a scalene triangle

#7

Which of the following statements is true regarding congruent triangles?

Their corresponding sides are equal in length
Explanation

Property of congruent triangles

#8

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

SSA (Side-Side-Angle)
Explanation

SSA is not a valid congruence criterion

#9

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

Similar
Explanation

Corresponding angles of similar triangles are equal

#10

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

Right-angled
Explanation

Satisfies Pythagorean theorem, making it a right-angled triangle

#11

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

They are always equal
Explanation

Corresponding angles of congruent triangles are equal

#12

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

90°
Explanation

Sum of angles in a triangle is 180°

#13

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

Similar
Explanation

Corresponding angles of similar triangles are equal

#14

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

50°
Explanation

Sum of angles in a triangle is 180°

#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:

Congruent
Explanation

SSS congruence criterion for triangles

#16

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

4 cm
Explanation

Application of the Pythagorean theorem

#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:

Neither congruent nor similar
Explanation

AA similarity criterion is not satisfied

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