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

less than 1

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greater than 1

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equal to 1

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Solution

The correct option is A less than 1
When a triangle similar to the parent triangle is constructed and is smaller in size then, then the scale factor is less than 1.

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Similar questions

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

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. In the given figure, a triangle

A^{'} B C^{'}

is constructed similar to

Δ A B C

. The scale factor will be

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

The correct option is A less than 1When a triangle similar to the parent triangle is constructed and is smaller in size then, then the scale factor is less than 1.

The correct option is A less than 1
When a triangle similar to the parent triangle is constructed and is smaller in size then, then the scale factor is less than 1.