Advertisements
Advertisements
Question
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.
Solution
In ∆LMN and ∆GHI,
LM = GH = 4.5 cm ......(Given)
LN = GI = 5 cm ......(Given)
MN = HI = 6 cm ......(Given)
∴ ∆LMN ≅ ∆GHI ......(SSS criterion)
APPEARS IN
RELATED QUESTIONS
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:
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:
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
Construct a triangle XYZ with the given conditions.
An equilateral triangle of side 7.5 cm
If D is the mid-point of the side BC in ∆ABC where AB = AC, then ∠ADC is ______.
By which congruency criterion, the two triangles in the given figure are congruent?
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.
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?
