English
Maharashtra State BoardSSC (English Medium) 9th Standard

In the following example, a pair of triangles is shown. Equal parts of triangle in each pair are marked with the same sign. By ______ test ΔXYZ ≅ ΔLMN - Geometry

Advertisements
Advertisements

Question

In the following example, a pair of triangles is shown. Equal parts of triangle in each pair are marked with the same sign. Observe the figure and state the test by which the triangle in each pair are congruent.

 By ______ test

ΔXYZ ≅ ΔLMN

Fill in the Blanks
Advertisements

Solution

By SAS Test

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Triangles - Practice Set 3.2 [Page 31]

APPEARS IN

Balbharati Mathematics 2 [English] Standard 9 Maharashtra State Board
Chapter 3 Triangles
Practice Set 3.2 | Q 1. (ii) | Page 31

RELATED QUESTIONS

If ΔABC ≅ ΔFED under the correspondence ABC ↔ FED, write all the Corresponding congruent parts of the triangles.


If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to `bar(DF)`


Complete the congruence statement:

ΔBCA ≅?

ΔQRS ≅?


BD and CE are bisectors of ∠B and ∠C of an isosceles ΔABC with AB = AC. Prove that BD = CE.  

 


In two right triangles one side an acute angle of one are equal to the corresponding side and angle of the othe Prove that the triangles are congruent.


In triangles ABC and PQR three equality relations between some parts are as follows:
AB = QP, ∠B = ∠P and BC = PR

State which of the congruence conditions applies:


From the information shown in the figure, state the test assuring the congruence of ΔABC and ΔPQR. Write the remaining congruent parts of the triangles.


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 given below, the parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which the triangles in the pair are congruent, the remaining congruent parts.


In the following figure, OA = OC and AB = BC.

Prove that:
(i) ∠AOB = 90o
(ii) ΔAOD ≅ ΔCOD
(iii) AD = CD


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:


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


Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(∠B = 90°,BC = 6cm,AB = 8cm);
ΔPQR;(∠Q = 90°,PQ = 6cm,PR = 10cm).


In the figure, BC = CE and ∠1 = ∠2. Prove that ΔGCB ≅ ΔDCE.


ΔABC is isosceles with AB = AC. BD and CE are two medians of the triangle. Prove that BD = CE.


Given that ∆ABC ≅ ∆DEF List all the corresponding congruent sides


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


“If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then the two triangles must be congruent.” Is the statement true? Why?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×