Triangles Quiz 1

In the figure, ABC is an isosceles triangle, right-angled at C. Therefore:

It is given that $\triangle ABC$ $\sim$ $\triangle PQR,$ with $\frac{BC}{QR}=\frac14.$ Then, $\frac{ar\Delta PQR}{ar\Delta ABC}$ is equal to:

If in two triangles $\triangle DEF$ and $\triangle PQR,$ $\angle D=\angle Q$ $and\;\angle R=\angle E,$ then which of the following is not true?

Let $\triangle ABC\sim\triangle DEF$ and their areas be $81\,cm^2\;and\;144\,cm^2.$ If EF = 24 cm, then length of side BC is ........ cm.

In figure, $\angle BAC=90^\circ$ and AD $\bot$ BC. Then,

The length of each side of a rhombus whose diagonals are of lengths 10 cm and 24 cm is

If $\triangle ABC\sim\triangle EDF$ and $\triangle ABC$ is not similar to $\triangle DEF,$ then which of the following is not true?

If $\triangle ABC\sim\triangle DEF,$ $\frac{ar(\triangle ABC)}{ar(\triangle DEF)}=\frac9{25},$ BC = 21 cm, then EF is equal to

D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 3 cm, BD = 5 cm, BC = 12.8 cm and DE || BC. Then length of DE (in cm) is

If in two triangles ABC and PQR, $\frac{AB}{QR}=\frac{BC}{PR}=\frac{CA}{PQ},$ then

If $\Delta PRQ\sim\Delta XYZ,$ then

A square and a rhombus are always

In triangles ABC and DEF, $\angle B=\angle E,\angle F=\angle C$ and AB = 3DE. Then the two triangles are

It is given that $\Delta$ABC $\sim$ $\Delta$DFE, $\angle A=30^\circ,\angle C=50^\circ,$ AB = 5 cm, AC = 8 cm and DF = 7.5 cm. Then, which of the following is true?

Two circles are always