हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा ९

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

Advertisements
Advertisements

प्रश्न

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:

योग
Advertisements

उत्तर

In the given figure BD bisect AC

In ΔAOB and ΔOCD

OA = OC ...(Given)

∠AOB = ∠DOC ...(vertically opposite angles)

∠B = ∠D ...(Given)

By ASA congruency

ΔAOB ≅ ΔOCD

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Geometry - Exercise 4.1 [पृष्ठ १४४]

APPEARS IN

सामाचीर कलवी Mathematics [English] Class 9 TN Board
अध्याय 4 Geometry
Exercise 4.1 | Q 3. (iv) | पृष्ठ १४४

संबंधित प्रश्न

By applying the ASA congruence rule, it is to be established that ∆ABC ≅ ∆QRP and it is given that BC = RP. What additional information is needed to establish the congruence?


Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by the ASA congruence rule. In the case of congruence, write it in symbolic form.

∆DEF, ∠D = 60º, ∠F = 80º, DF = 6 cm.

∆PQR, ∠Q = 60º, ∠R = 80º, QP = 6 cm.


ΔABC and ΔDEF are two triangles in which AB = DF, ∠ACB = 70°, ∠ABC = 60°, ∠DEF = 70° and ∠EDF = 60°. Prove that the triangles are congruent


In the figure, ∠TMA ≡∠IAM and ∠TAM ≡ ∠IMA. P is the midpoint of MI and N is the midpoint of AI. Prove that ΔPIN ~ ΔATM


In the given figure ray AZ bisects ∠BAD and ∠DCB, prove that ∆BAC ≅ ∆DAC


In the given figure ray AZ bisects ∠BAD and ∠DCB, prove that AB = AD


Two triangles are congruent, if two angles and the side included between them in one of the triangles are equal to the two angles and the side included between them of the other triangle. This is known as the ______.


In the given pairs of triangles of figure, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.


In the given pairs of triangles of figure, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.


In the following figure, ∠1 = ∠2 and ∠3 = ∠4.

  1. Is ∆ADC ≅ ∆ABC? Why ?
  2. Show that AD = AB and CD = CB.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×