English

State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure). ∆ABC: AB = 4.8 cm, ∠A = 90°, AC = 6.8 cm ∆XYZ: YZ = 6.8 cm, ∠X = 90°

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).

∆ABC: AB = 4.8 cm, ∠A = 90°, AC = 6.8 cm

∆XYZ: YZ = 6.8 cm, ∠X = 90°, ZX = 4.8 cm

Diagram
Advertisements

Solution


Both triangles are not congruent.

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

APPEARS IN

NCERT Exemplar Mathematics Exemplar Class 7
Chapter 6 Triangles
Exercise | Q 149. (b) | 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 = 7 cm, BC = 5 cm, ∠B = 50°.

∆DEF, DE = 5 cm, EF = 7 cm, ∠E = 50°.


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:


To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion


Construct a triangle PQR with given conditions.

∠P = 115°, ∠Q = 40° and PQ = 6 cm


Using the given figure, prove that the triangles are congruent. Can you conclude that AC is parallel to DE


In the following figure, ∆PQR ≅ ∆ ______.



In the following figure, AB = AD and ∠BAC = ∠DAC. Then 

  1. ∆ ______ ≅ ∆ABC.
  2. BC = ______.
  3. ∠BCA = ______.
  4. Line segment AC bisects ______ and ______.

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, 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, PQ = PS and ∠1 = ∠2.

  1. Is ∆PQR ≅ ∆PSR? Give reasons.
  2. Is QR = SR? Give reasons.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×