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प्रश्न
For the given pair of triangles state the criterion that can be used to determine the congruency?
उत्तर
Given two pair of sides are equal and one side is common to both the triangles.
∴ SSS congruency criterion is used.
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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.
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:
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.
ABC is an isosceles triangle with AB = AC and D is the mid-point of base BC (see figure).
- State three pairs of equal parts in the triangles ABD and ACD.
- Is ∆ABD ≅ ∆ACD. If so why?
In the given figure, it is given that LM = ON and NL = MO
- State the three pairs of equal parts in the triangles NOM and MLN.
- Is ∆NOM ≅ ∆MLN. Give reason?
Triangles DEF and LMN are both isosceles with DE = DF and LM = LN, respectively. If DE = LM and EF = MN, then, are the two triangles congruent? Which condition do you use? If ∠E = 40°, what is the measure of ∠N?
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?
