English
Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7

If the given two triangles are congruent, then identify all the corresponding sides and also write the congruent angles - Mathematics

Advertisements
Advertisements

Question

If the given two triangles are congruent, then identify all the corresponding sides and also write the congruent angles

Sum
Advertisements

Solution

Given: ∆PQR ≅ ∆LNM

(a) Corresponding sides

`bar("PQ") = bar("LN"), bar("PQ") = bar("LM"), bar("RQ") = bar("MN")`

(b) Corresponding angles

∠RPQ = ∠NLM, ∠PQR = ∠LNM, ∠PRQ = ∠LMN

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Geometry - Exercise 4.2 [Page 83]

APPEARS IN

Samacheer Kalvi Mathematics - Term 2 [English] Class 7 TN Board
Chapter 4 Geometry
Exercise 4.2 | Q 2. (i) | Page 83

RELATED QUESTIONS

Complete the congruence statement:

ΔBCA ≅?

ΔQRS ≅?


If ΔABC ≅  ΔABC is isosceles with


ΔPQR and ΔABC is not congruent to ΔRPQ, then which of the following is not true:


In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:


ABC is an isosceles triangle such that AB = AC and AD is the median to base BC. Then, ∠BAD =


As shown in the following figure, in ΔLMN and ΔPNM, LM = PN, LN = PM. Write the test which assures the congruence of the two triangles. Write their remaining congruent parts.


In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.


In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.


The following figure shown a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.

Prove that:  ΔAMC≅ ΔANB


State, whether the pairs of triangles given in the following figures are congruent or not:


State, whether the pairs of triangles given in the following figures are congruent or not:


A is any point in the angle PQR such that the perpendiculars drawn from A on PQ and QR are equal. Prove that ∠AQP = ∠AQR.


In the given figure P is a midpoint of chord AB of the circle O. prove that OP ^ AB.


Sides, AB, BC and the median AD of ΔABC are equal to the two sides PQ, QR and the median PM of ΔPQR. Prove that ΔABC ≅ ΔPQR.


In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if ______.


It is given that ∆ABC ≅ ∆RPQ. Is it true to say that BC = QR? Why?


ABCD is a quadrilateral in which AB = BC and AD = CD. Show that BD bisects both the angles ABC and ADC.


Without drawing the triangles write all six pairs of equal measures in the following pairs of congruent triangles.

∆ABC ≅ ∆LMN


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×