#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?
#5
In triangle ABC, if angle A = 40° and angle B = 70°, what is the measure of angle C?
#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
Which pair of triangles are always similar?
Equilateral triangles
Isosceles triangles
Scalene triangles
Right triangles
#12
In triangle ABC, if angle A = 90° and angle B = 45°, what is the measure of angle C?
#13
Which pair of triangles are congruent if they have two corresponding angles equal and a pair of corresponding non-included sides in proportion?
ASA (Angle-Side-Angle)
SSS (Side-Side-Side)
SAS (Side-Angle-Side)
AAA (Angle-Angle-Angle)
#14
What is the Pythagorean Theorem?
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In a right triangle, the product of the lengths of the two legs is equal to the square of the length of the hypotenuse.
In any triangle, the sum of the lengths of any two sides is greater than the length of the third side.
In any triangle, the ratio of the lengths of the sides is proportional to the sines of the opposite angles.
#15
In a right triangle, if one acute angle is 30°, what is the measure of the other acute angle?
#16
In a triangle, if two angles measure 45° each, what is the measure of the third angle?
#17
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)
#18
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?
#19
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
#20
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
#21
If triangle ABC is similar to triangle DEF with a scale factor of 3:2, and the length of side AB is 12 cm, what is the length of side DE?
#22
Which statement about the Altitude-on-Hypotenuse Theorem is true?
It states that the altitude to the hypotenuse of a right triangle divides the hypotenuse into two segments, which are proportional to the two legs of the triangle.
It states that the length of the altitude to the hypotenuse of a right triangle is equal to the geometric mean of the lengths of the two segments of the hypotenuse.
It states that the altitude to the hypotenuse of a right triangle is congruent to the altitude of the triangle.
It states that the altitude to the hypotenuse of a right triangle bisects the hypotenuse.
#23
If two angles of one triangle are equal to two angles of another triangle, what can we conclude about the third pair of angles?
They are equal
They are supplementary
They are complementary
They are not related
#24
If triangle PQR is similar to triangle STU with a scale factor of 2:3, and the length of side PQ is 8 cm, what is the length of side ST?
#25
If triangle XYZ is similar to triangle UVW with a scale factor of 4:5, and the length of side YZ is 15 cm, what is the length of side VW?