Q. 23.5( 12 Votes )

# Write the truth value (T/F) of each of the following statements:

(i) Any two similar figures are congruent.

(ii) Any two congruent figures are similar.

(iii) Two polygons are similar, if their corresponding sides are proportional.

(iv) Two polygons are similar if their corresponding angles are proportional.

(v) Two triangles are similar if their corresponding sides are proportional.

(vi) Two triangles are similar if their corresponding angles are proportional.

Answer :

(i) False (ii) True

(iii) False (iv) False

(v) True (vi) True

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSFill in the blanks using the correct word given in brackets :(i) All circles are……..(congruent, similar).(ii) All squares are………(similar, congruent).(iii) All……triangles are similar (isosceles, equilaterals).(iv) Two triangles are similar, if heir corresponding angles are………(proportional, equal)(v) Two triangles are similar, if their corresponding sides are………(proportional, equal)(vi) Two polygons of the same number of sides are similar, if (a) their corresponding angles ae and (b) heir corresponding sides are………(equal, proportional)NEXTIn a , D and E are points on the sides AB and AC respectively such that (i) If AD = 6 cm, DB = 9 cm and AE = 8 cm, find AC.(ii) If and AC = 15 cm, find AE.(iii) If and AC = 18 cm, find AE.(iv) If AD = 4, AE = 8, DB = x – 4, and EC = 3x – 19, find x.(v) If AD = 8 cm, AB = 12 cm and AE = 12 cm, find CE.(vi) If AD = 4 cm, DB = 4.5 cm and AE = 8 cm, find AC.(vii) If AD = 2 cm, AB = 6 cm and AC = 9 cm, find AE.(viii) If and EC = 2.5 cm, find AE.(ix) If AD = x, DB = x – 2, AE = x + 2 and EC = x – 1, find the value of x.(x) If AD = 8x - 7, DB = 5x – 3, AE = 4x - 3 and EC = (3x – 1), find the value of x.(xi) If AD = 4x – 3, AE = 8x – 7, BD = 3x – 1 and CE = 5x - 3, find the volume x.(xii) If AD = 2.5 cm, BD = 3.0 cm and AE = 3.75 cm, find the length of AC.

Related Videos

Basic Proportionality Theorem42 mins

NCERT | Strong Your Basics of Triangles39 mins

RD Sharma | Imp. Qs From Triangles41 mins

A Peep into Pythagoras Theorem43 mins

Predominant Proof of Triangles52 mins

Quiz | Criterion of Similarity of Triangle45 mins

How to Ace Maths in NTSE 2020?36 mins

R.D Sharma | Solve Exercise -4.2 and 4.345 mins

R.D Sharma | Solve Exercise-4.545 mins

NCERT | Basic Proportionality Theorem22 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation