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India
Class X

Enlargements, Ratio and Scale Factors

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Interactive practice questions

Triangle ABC has been enlarged to triangle A'B'C'. What is the scale factor?

Two similar triangles, with the larger labeled A'B'C' and the smaller labeled ABC. These triangles are arranged such that the vertices B, B' and a point O are collinear. A thin line segment connects B passing through B' to point O. Similarly, the vertices C, C' and point O are collinear, and a thin line segment connects C passing through C' to point O. The line segments OB and BB' are each 7 units in length, making the total length of OB' 14 units. Similarly, the line segments OC and CC' are each 7 units, implying the total length of OC' is 14 units as well. The point O serves as the apex of two isosceles triangles, BOC and B'OC', with the base of each triangle formed by the vertices of the smaller and larger triangles, respectively.

$2$2

A

$\frac{1}{2}$12​

B

$3$3

C

$1$1

D
Easy
< 1min

Triangle A'B'C' has been reduced to form a smaller triangle ABC. What is the scale factor?

Easy
< 1min

Consider the following quadrilaterals.

Easy
< 1min

Which unit do we use to express the scale factor?

Easy
< 1min
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Outcomes

10.G.T.1

Definitions, examples, counterexamples of similar triangles, covering (a) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio, (b) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side, (c) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar, (d) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar (e) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

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