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State whether the two triangles are congruent or not. Justify your answer - Mathematics

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प्रश्न

State whether the two triangles are congruent or not. Justify your answer

बेरीज

उत्तर

Let the two triangles be ∆ABC and ∆ADC

In both the triangles AC¯=AC¯  ...(common sides)

AD¯=BC¯ ...(given)

AB¯=DC¯  ...(given)

By SSS criterion ∆ABC ≅ ∆ADC.

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पाठ 4: Geometry - Exercise 4.2 [पृष्ठ ८४]

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सामाचीर कलवी Mathematics - Term 2 [English] Class 7 TN Board
पाठ 4 Geometry
Exercise 4.2 | Q 4. (v) | पृष्ठ ८४

संबंधित प्रश्‍न

In Fig, AD = CD and AB = CB.


(i) State the three pairs of equal parts in ∆ABD and ∆CBD.
(ii) Is ∆ABD ≅ ∆CBD? Why or why not?
(iii) Does BD bisect ∠ABC? Give reasons.


For the given pair of triangles state the criterion that can be used to determine the congruency?


In the given figure FG = FI and H is midpoint of GI, prove that ∆FGH ≅ ∆FHI


If D is the mid-point of the side BC in ∆ABC where AB = AC, then ∠ADC is ______.


If ∆ABC and ∆DBC are on the same base BC, AB = DC and AC = DB (see figure), then which of the following gives a congruence relationship?


In the following pairs of triangles of figure, the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.


In the following pairs of triangles of figure, the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.


In the following pairs of triangles of figure, the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.


ABC is an isosceles triangle with AB = AC and D is the mid-point of base BC (see figure).

  1. State three pairs of equal parts in the triangles ABD and ACD.
  2. Is ∆ABD ≅ ∆ACD. If so why?


If ΔPQR and ΔSOR are both isosceles triangle on a common base OR such that P and S lie on the same side of QR. Are triangles PSQ and PSR congruent? Which condition do you use?


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