Triangle Similarity and Congruence Quiz

Test your knowledge on triangle geometry with questions about similarity, congruence, angles, and side ratios.

#1

Which statement defines similar triangles?

Triangles with the same angle measures but different side lengths
Triangles with the same side lengths but different angle measures
Triangles with both the same angle measures and side lengths
Triangles with different angle measures and side lengths
#2

What is the criteria for triangle congruence?

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

What is the angle sum property of a triangle?

The sum of all angles in a triangle is 90 degrees.
The sum of all angles in a triangle is 180 degrees.
The sum of all angles in a triangle is 270 degrees.
The sum of all angles in a triangle is 360 degrees.
#4

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

40°
60°
80°
100°
#5

In triangle ABC, if angle A = 40° and angle B = 70°, what is the measure of angle C?

60°
70°
80°
90°
#6

If two triangles are similar, what can we say about their corresponding angles?

They are equal in measure
They are congruent
They are proportional
They are supplementary
#7

If two triangles are congruent, what can we say about their corresponding sides?

They are equal in measure
They are proportional
They are congruent
They are supplementary
#8

Which triangle similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar?

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

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

SSS (Side-Side-Side)
AAA (Angle-Angle-Angle)
AAS (Angle-Angle-Side)
SAS (Side-Angle-Side)
#10

In triangle ABC, if angle A = 50°, angle B = 70°, and angle C = 60°, what type of triangle is it?

Acute triangle
Obtuse triangle
Right triangle
Equilateral triangle
#11

In a right triangle, if one acute angle is 30°, what is the measure of the other acute angle?

30°
45°
60°
90°
#12

In a triangle, if two angles measure 45° each, what is the measure of the third angle?

45°
60°
75°
90°
#13

Which congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent?

SSS (Side-Side-Side)
AAA (Angle-Angle-Angle)
SAS (Side-Angle-Side)
ASA (Angle-Side-Angle)
#14

If two triangles are similar and one triangle has a side length of 6 cm while the other has a corresponding side length of 9 cm, what is the scale factor of similarity?

1.5
2
3
0.67
#15

If two triangles have all three corresponding sides in proportion, what can we conclude?

They are congruent
They are similar
They are not related
They are right triangles
#16

If two triangles are similar, what can we say about their corresponding medians?

They are equal in measure
They are parallel
They are congruent
They are proportional

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