If $\Delta ABC \sim \Delta XYZ$ for the correspondence $ABC \leftrightarrow XYZ$,and $\frac{AB}{4} = \frac{XY}{5}$,then $\frac{BC}{YZ} = \ldots$

  • A
    $\frac{9}{5}$
  • B
    $\frac{5}{9}$
  • C
    $\frac{4}{5}$
  • D
    $\frac{5}{4}$

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In $\Delta ABC$,$m \angle B = 90^{\circ}$ and $\overline{BM}$ is an altitude to the hypotenuse $\overline{AC}$. If $AB = 2\sqrt{10}$ and $AM = 5$,find $CM$.

If $AD$ and $PM$ are medians of triangles $ABC$ and $PQR,$ respectively,where $\Delta ABC \sim \Delta PQR,$ prove that $\frac{AB}{PQ} = \frac{AD}{PM}.$

The ratio of the corresponding sides of two similar triangles is $4:9$. Then,the ratio of their areas is $\ldots \ldots$.

State which pairs of triangles in the figure are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form.

State which pairs of triangles in the figure are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form.

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