Triangles

All circles are
A) Congruent
B) Similar
C) Both
D) Neither
Answer: B

All squares are
A) Congruent
B) Similar
C) Both
D) Neither
Answer: B

All equilateral triangles are
A) Congruent
B) Similar
C) Both
D) Neither
Answer: C

Two polygons of the same number of sides are similar if their corresponding angles are
A) Equal
B) Unequal
C) Congruent
D) Proportional
Answer: A

The corresponding sides of similar polygons are
A) Unequal
B) Congruent
C) Proportional
D) None of these
Answer: C

The scale factor of similar figures refers to the ratio of their
A) Areas
B) Angles
C) Corresponding sides
D) Volumes
Answer: C

A triangle is similar to another triangle if
A) Their corresponding angles are equal
B) Their corresponding sides are proportional
C) Both A and B
D) None of these
Answer: C

Which criterion is sufficient to prove two triangles are similar?
A) AAA
B) SAS
C) SSS
D) All of the above
Answer: D

The symbol ‘~’ represents
A) Congruency
B) Similarity
C) Parallelism
D) Perpendicularity
Answer: B

If the corresponding sides of two triangles are proportional, then their corresponding angles are
A) Equal
B) Proportional
C) Unequal
D) Congruent
Answer: A

Which of the following is NOT true about similar triangles?
A) Their corresponding angles are equal
B) Their corresponding sides are proportional
C) They always have the same area
D) The scale factor can differ
Answer: C

The Basic Proportionality Theorem is also known as
A) Pythagoras Theorem
B) Thales Theorem
C) SAS Theorem
D) AA Criterion
Answer: B

If DE || BC in triangle ABC, then the ratio of the corresponding sides is
A) Equal
B) Proportional
C) Congruent
D) None of these
Answer: B

The AA similarity criterion requires
A) Two angles of one triangle equal to two angles of another triangle
B) All angles equal
C) Corresponding sides proportional
D) None of these
Answer: A

The SSS similarity criterion requires
A) Three pairs of corresponding angles equal
B) Three pairs of corresponding sides proportional
C) Both A and B
D) None of these
Answer: B

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the triangles are similar by
A) SSS Criterion
B) SAS Criterion
C) AA Criterion
D) AAA Criterion
Answer: B

In similar triangles, the ratio of their areas is equal to
A) The square of the scale factor
B) The scale factor
C) The cube of the scale factor
D) None of these
Answer: A

If DE || BC in triangle ABC, which theorem can be applied?
A) Pythagoras Theorem
B) Basic Proportionality Theorem
C) SSS Theorem
D) Converse of Basic Proportionality Theorem
Answer: B

If the sides of two triangles are proportional, the triangles are similar by
A) AA Criterion
B) SAS Criterion
C) SSS Criterion
D) RHS Criterion
Answer: C

A line divides two sides of a triangle in the same ratio if and only if
A) It is parallel to the third side
B) It is perpendicular to the third side
C) It bisects the third side
D) None of these
Answer: A

What is the name of the condition when all three angles of one triangle equal all three angles of another triangle?
A) SSS Similarity
B) AAA Similarity
C) SAS Similarity
D) RHS Similarity
Answer: B

The ratio of the perimeters of two similar triangles is equal to the
A) Scale factor
B) Square of the scale factor
C) Cube of the scale factor
D) None of these
Answer: A

The converse of Basic Proportionality Theorem states that
A) A line parallel to one side divides the other two sides proportionally
B) A line dividing two sides proportionally is parallel to the third side
C) Both A and B
D) None of these
Answer: B

The scale factor is also known as
A) Ratio Factor
B) Representative Fraction
C) Dimension Ratio
D) None of these
Answer: B

Two right triangles are similar if their hypotenuses and one side are proportional by
A) AA Criterion
B) SAS Criterion
C) RHS Criterion
D) SSS Criterion
Answer: C

Congruent triangles are always
A) Similar
B) Proportional
C) Both A and B
D) None of these
Answer: A

In a trapezium, diagonals divide each other proportionally if
A) It is a parallelogram
B) It is isosceles
C) It is cyclic
D) None of these
Answer: B

If two angles of a triangle are 60° each, the triangle is
A) Right-angled
B) Equilateral
C) Isosceles
D) Scalene
Answer: B

A similarity criterion comparable to SAS congruency is
A) AAA Similarity
B) SAS Similarity
C) SSS Similarity
D) None of these
Answer: B

The RHS similarity criterion applies to
A) Any two triangles
B) Right triangles only
C) Equilateral triangles only
D) None of these
Answer: B

In similar triangles, corresponding angles are always
A) Equal
B) Proportional
C) Complementary
D) Congruent
Answer: A

If AB || PQ in triangle ABC and triangle PQR, the corresponding sides will be
A) Equal
B) Proportional
C) Unequal
D) Congruent
Answer: B

The similarity criterion where all three angles of one triangle are equal to all three angles of another triangle is called
A) SSS Similarity
B) SAS Similarity
C) AAA Similarity
D) RHS Similarity
Answer: C

The angle between the base and the perpendicular in a right triangle is
A) 45°
B) 90°
C) Acute
D) Complementary
Answer: C

In two similar triangles, the ratio of their altitudes is equal to
A) The ratio of their sides
B) The ratio of their perimeters
C) The square of their scale factor
D) None of these
Answer: A

If two triangles are similar, the ratio of their areas is equal to
A) Scale factor
B) Square of the scale factor
C) Cube of the scale factor
D) None of these
Answer: B

What condition is necessary for two triangles to be similar by the SAS similarity criterion?
A) Two sides and an included angle must be proportional and equal, respectively
B) All three sides must be proportional
C) Two angles must be equal
D) None of these
Answer: A

The AA similarity criterion requires that
A) Two sides are proportional
B) All angles are equal
C) Two angles are equal
D) Two sides are congruent
Answer: C

A line drawn parallel to one side of a triangle divides the other two sides in the
A) Same ratio
B) Different ratio
C) Same length
D) None of these
Answer: A

In a pair of similar triangles, the corresponding medians are in the ratio of
A) Square of the scale factor
B) Cube of the scale factor
C) The scale factor
D) None of these
Answer: C

Two equilateral triangles are always
A) Congruent
B) Similar
C) Equal in area
D) None of these
Answer: B

The Basic Proportionality Theorem states that a line parallel to one side of a triangle divides the other two sides in the
A) Same length
B) Same ratio
C) Congruent parts
D) None of these
Answer: B

The converse of the Basic Proportionality Theorem states that if a line divides two sides of a triangle in the same ratio, then the line is
A) Parallel to the third side
B) Congruent to the base
C) Perpendicular to the base
D) None of these
Answer: A

The ratio of the altitudes of two similar triangles is equal to the ratio of their
A) Perimeters
B) Corresponding sides
C) Areas
D) Volumes
Answer: B

Two right triangles are similar if their
A) Hypotenuse and one side are proportional
B) Angles are unequal
C) Altitudes are different
D) None of these
Answer: A

In similar triangles, the ratio of their perimeters is equal to the ratio of their
A) Areas
B) Altitudes
C) Corresponding sides
D) Medians
Answer: C

Two triangles can be proved similar if
A) All sides are equal
B) Only one angle is equal
C) Two angles are equal
D) The corresponding sides are congruent
Answer: C

In a pair of similar triangles, the ratio of their corresponding angles is
A) Equal
B) Proportional
C) Complementary
D) Supplementary
Answer: A

The RHS similarity criterion applies to
A) Right triangles only
B) Any two triangles
C) Equilateral triangles only
D) None of these
Answer: A

If the sides of a triangle are proportional to the sides of another triangle, their corresponding angles are
A) Congruent
B) Complementary
C) Equal
D) None of these
Answer: C