English

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

Advertisements
Advertisements

Question

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

Options

  • True

  • False

MCQ
True or False
Advertisements

Solution

This statement is False.

Explanation:

Since side of one triangle must be equal to its corresponding side of another triangle.

shaalaa.com
  Is there an error in this question or solution?
Chapter 7: Triangles - Exercise 7.2 [Page 65]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 9
Chapter 7 Triangles
Exercise 7.2 | Q 4. | Page 65

RELATED QUESTIONS

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


In a ΔPQR, if PQ = QR and L, M and N are the mid-points of the sides PQ, QR and RP
respectively. Prove that: LN = MN. 


Observe the information shown in pair of triangle given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.

From the information shown in the figure,

in ΔPTQ and ΔSTR

seg PT ≅ seg ST

∠PTQ ≅ ∠STR        ...[Vertically opposite angles]

∴ ΔPTQ ≅ ΔSTR       ...`square` test

∴ `{:("∠TPQ" ≅ square),("and"  square ≅ "∠TRS"):}}`      ...corresponding angles of congruent triangles

seg PQ ≅ `square`         ...corresponding sides of congruent triangles


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


In the given figure, prove that: ∆ ABD ≅ ∆ ACD


In a triangle ABC, if D is midpoint of BC; AD is produced upto E such as DE = AD, then prove that:
a. DABD andDECD are congruent.
b. AB = EC
c. AB is parallel to EC


In ΔABC, AB = AC. D is a point in the interior of the triangle such that ∠DBC = ∠DCB. Prove that AD bisects ∠BAC of ΔABC.


ΔABC is an isosceles triangle with AB = AC. GB and HC ARE perpendiculars drawn on BC.

Prove that 
(i) BG = CH
(ii) AG = AH


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


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

∆XYZ ≅ ∆MLN


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×