English

State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure). ∆PQR: PQ = 3.5 cm, QR = 4.0 cm, ∠Q = 60° ∆STU: ST = 3.5 cm, TU = 4 cm

Advertisements
Advertisements

Question

State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).

∆PQR: PQ = 3.5 cm, QR = 4.0 cm, ∠Q = 60°

∆STU: ST = 3.5 cm, TU = 4 cm, ∠T = 60°

Diagram
Advertisements

Solution


Both triangles are congruent.

∴ ΔPQR ≅ ΔSTU  ...[By SAS congruence criterion]

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Triangles - Exercise [Page 183]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 7
Chapter 6 Triangles
Exercise | Q 149. (a) | Page 183

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by using the SAS congruence rule. If the triangles are congruent, write them in symbolic form.

∆ABC, AB = 4.5 cm, AC = 4 cm, ∠A = 60°.

∆DEF, DE = 4 cm, FD = 4.5 cm, ∠D = 55°.


In Fig,

AB = AC and AD is the bisector of ∠BAC.
(i) State three pairs of equal parts in triangles ADB and ADC.
(ii) Is ∆ADB ≅ ∆ADC? Give reasons.
(iii) Is ∠B = ∠C? Give reasons.


Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:


In the given figure, ΔBCD is isosceles with base BD and ∠BAE ≡∠DEA. Prove that AB ≡ ED


In the figure, given that ∠1 = ∠2 and ∠3 ≡ ∠4. Prove that ∆MUG ≡ ∆TUB


For the given pair of triangles state the criterion that can be used to determine the congruency?


Construct a triangle ABC with given conditions.

AB = 7 cm, AC = 6.5 cm and ∠A = 120°


In ∆ABC and ∆PQR, ∠A = 50° = ∠P, PQ = AB, and PR = AC. By which property ∆ABC and ∆PQR are congruent?


In the following figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.


In the following figure, DE = IH, EG = FI and ∠E = ∠I. Is ∆DEF ≅ ∆HIG? If yes, by which congruence criterion?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×