Class 10 Maths – Triangles Quiz

Two figures are called similar if they have:

If \(\triangle ABC \sim \triangle DEF\), then which of the following statements is always true?

If \(\triangle ABC \sim \triangle DEF\) and \(\frac{AB}{DE} = \frac{3}{2}\), then \(\frac{BC}{EF}\) is:

Which of the following is NOT a criterion for the similarity of two triangles?

In \(\triangle ABC\), \(D\) is a point on \(AB\) and \(E\) is a point on \(AC\) such that \(DE \parallel BC\). If \(AD = 2\), \(DB = 3\) and \(AE = 2.8\), then \(EC\) is:

In \(\triangle ABC\), \(D\) lies on \(AB\) and \(E\) lies on \(AC\). Which of the following conditions proves that \(DE \parallel BC\)?

The ratio of the corresponding sides of two similar triangles is \(4 : 5\). The ratio of their areas is:

The areas of two similar triangles are in the ratio \(9 : 16\). The ratio of their corresponding sides is:

\(\triangle ABC \sim \triangle DEF\). If \(AB = 4\), \(DE = 10\) and \(BC = 6\), then \(EF\) is:

The perimeters of two similar triangles are in the ratio \(2 : 3\). If the area of the larger triangle is \(36\ \mathrm{cm}^2\), then the area of the smaller triangle is:

Any two equilateral triangles are always:

Which of the following pairs of figures is always similar?

A boy of height \(1.5\ \mathrm{m}\) casts a shadow \(2\ \mathrm{m}\) long. At the same time, a tower casts a shadow \(30\ \mathrm{m}\) long. The height of the tower is:

The corresponding sides of two similar triangles are in the ratio \(3 : 2\). If the perimeter of the larger triangle is \(30\ \mathrm{cm}\), then the perimeter of the smaller triangle is:

In \(\triangle ABC\), \(DE \parallel BC\), where \(D\) is on \(AB\) and \(E\) is on \(AC\). If \(AD : DB = 2 : 3\) and \(AC = 20\ \mathrm{cm}\), then \(AE\) is:

If \(\triangle ABC \sim \triangle DEF\) such that \(A\) corresponds to \(D\), then which of the following is always true?

On a map drawn to the scale \(1\ \mathrm{cm} : 4\ \mathrm{km}\), two towns are \(9\ \mathrm{cm}\) apart on the map. The actual distance between the towns is:

The areas of two similar triangles are \(25\ \mathrm{cm}^2\) and \(100\ \mathrm{cm}^2\). If \(AB = 7\ \mathrm{cm}\), where \(AB\) corresponds to \(DE\), then \(DE\) is:

In \(\triangle ABC\), \(D\) is a point on \(AB\) and \(E\) is a point on \(AC\) such that \(AD = x\), \(DB = 9\), \(AE = x + 2\) and \(EC = 12\). The value of \(x\) for which \(DE \parallel BC\) is:

A vertical stick of height \(2\ \mathrm{m}\) casts a shadow \(1.6\ \mathrm{m}\) long. At the same time, the shadow of a nearby tree is \(12.8\ \mathrm{m}\) long. The height of the tree is: