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Which of the Following is Not a Criterion for Congruence of Triangles? - Mathematics

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प्रश्न

Which of the following is not a criterion for congruence of triangles?

विकल्प

  • SAS

  • SSA

  • ASA

  • SSS

MCQ
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उत्तर

SSA ,as it does not follow the congruence criteria.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 12: Congruent Triangles - Exercise 12.8 [पृष्ठ ८५]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 12 Congruent Triangles
Exercise 12.8 | Q 10 | पृष्ठ ८५

संबंधित प्रश्न

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


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:


Prove that:
(i) ∆ ABC ≅ ∆ ADC
(ii) ∠B = ∠D
(iii) AC bisects angle DCB


In the figure, AC = AE, AB = AD and ∠BAD = ∠EAC. Prove that BC = DE.


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 PQR, ∠A = ∠Q and ∠B = ∠R. Which side of ∆PQR should be equal to side BC of ∆ABC so that the two triangles are congruent? Give reason for your answer.


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

∆YZX ≅ ∆PQR


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