In construction of similar triangles, if scale factor is more than 1, then the new triangle is the given one.

larger than

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smaller than

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congruent to

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Solution

The correct option is A larger than
Scale factor basically defines the ratio between the sides of the constructed triangle to that of the original triangle. So when we see the scale factor is greater than 1, it means the sides of the constructed triangle is larger than the original triangle i.e. the triangle constructed is larger than the original triangle. Similarly, if scale factor is less than 1 then the sides of the constructed triangle is smaller than that of the original triangle i.e. the constructed triangle is smaller than the original triangle. And when we have scale factor equal to 1, then the sides of both the constructed triangle and that of the original triangle is equal.

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Similar questions

Q. If a triangle PQR is constructed similar to triangle ABC and is smaller than the triangle ABC, then the scale factor is .

Match the following based on the construction of similar triangles, if scale factor ( $\frac{m}{n}$ ) is

I. >1

II. <1

III. =1

a) The similar triangle is smaller than the original triangle.

b) The two triangles are congruent triangles.

c) The similar triangle is larger than the original triangle.

Question 2
Draw a right $Δ$ ABC in which BC = 12 cm AB = 5 cm and $∠ B = 90^{\circ}$ Construct a triangle similar to it and of scale factor $\frac{2}{3}$ . Is the new triangle also a right triangle?
Thinking process
Here scale factor $\frac{m}{n} = \frac{2}{3}$ i.e m < n then the triangle to be constructed smaller than the given triangle Use this concept and then construct the required triangle.

Question 2
Draw a right $Δ$ ABC in which BC = 12 cm AB = 5 cm and $∠ B = 90^{\circ}$ Construct a triangle similar to it and of scale factor $\frac{2}{3}$ . Is the new triangle also a right triangle?
Thinking process
Here scale factor $\frac{m}{n} = \frac{2}{3}$ i.e m < n then the triangle to be constructed smaller than the given triangle Use this concept and then construct the required triangle.

Q. When we construct a triangle similar to a given triangle as per given scale factor, we construct on the basis of ...........

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