English

In the following figure, ∆PQR ≅ ∆ ______.

Advertisements
Advertisements

Question

In the following figure, ∆PQR ≅ ∆ ______.

Fill in the Blanks
Advertisements

Solution

In the following figure, ∆PQR ≅ ∆XZY.

Explanation:


In ∆PQR and ∆XZY,

PQ = XZ = 3.5 cm

QR = ZY = 5 cm

∠PQR = ∠XZY = 45°

By SAS congruence criterion,

∆PQR ≅ ∆XZY

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Triangles - Exercise [Page 168]

APPEARS IN

NCERT Exemplar Mathematics Exemplar Class 7
Chapter 6 Triangles
Exercise | Q 64. | Page 168

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°.


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:


State whether the two triangles are congruent or not. Justify your answer


Construct a triangle XYZ with the given conditions.

BC = 8 cm, AC = 6 cm and ∠C = 40°


In the following figure, M is the mid-point of both AC and BD. Then ______.


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.


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


In the following figure, PQ = PS and ∠1 = ∠2.

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


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×