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If δAbc ≅ ≅ δAbc is Isosceles with - Mathematics

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प्रश्न

If ΔABC ≅  ΔABC is isosceles with

पर्याय

  • AB = AC

  • AB = BC

  • AC = BC

  • None of these

MCQ
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उत्तर

It is given that  ΔABC ≅  ΔACB and  ΔABC is isosceles

Since triangles are congruent so  AB = AC as same side are equal.

 AB = AC

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Congruent Triangles - Exercise 12.8 [पृष्ठ ८५]

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आरडी शर्मा Mathematics [English] Class 9
पाठ 12 Congruent Triangles
Exercise 12.8 | Q 2 | पृष्ठ ८५

संबंधित प्रश्‍न

In a squared sheet, draw two triangles of equal areas such that

The triangles are not congruent.

What can you say about their perimeters?


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


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 ΔABC and ΔPQR

∠ABC ≅ ∠PQR

seg BC ≅ seg QR

∠ACB ≅ ∠PRQ

∴ ΔABC ≅ ΔPQR         ...`square` test

∴ ∠BAC ≅ `square`               ...corresponding angles of congruent triangles.

`{:("seg AB" ≅ square),("and"  square ≅ "seg PR"):}}`      ...corresponding sides of congruent triangles


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 given figure, prove that:
(i) ∆ ACB ≅ ∆ ECD
(ii) AB = ED


In ΔABC, AB = AC and the bisectors of angles B and C intersect at point O.Prove that BO = CO and the ray AO is the bisector of angle BAC.


In the figure, AB = EF, BC = DE, AB and FE are perpendiculars on BE. Prove that ΔABD ≅ ΔFEC


Two right-angled triangles ABC and ADC have the same base AC. If BC = DC, prove that AC bisects ∠BCD.


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

∆ABC ≅ ∆LMN


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