The adjacent figures state ……………… criterion of similarity..

In a $\mathrm{△}XYZ,\backslash triangle\; XYZ\; ,$ if the internal bisector of $\mathrm{\angle }X\backslash angle\; X$ meets YZ in P. Then

In $\mathrm{△}ABC\backslash triangle\; ABC$ and $\mathrm{△}{A}^{\mathrm{\prime }}{B}^{\mathrm{\prime }}{C}^{\mathrm{\prime }}\backslash triangle\; A\text{'}B\text{'}C\text{'}$, A' corresponds to vertex A.

We denote it symbolically as

Two figures are said to be congruent if they have same

Two triangles are similar if their corresponding

Symbol for “is similar to” is

Symbol for “is congruent to” is

Basic proportionality theorem is also known as ……………… theorem.

In a rhombus ABCD, $A{C}^2+B{D}^2=AC^2\; +\; BD^2\; =$

In a trapezium ABCD, AB || DC, and also EF || AB, then $\frac{AE}{ED}\backslash frac\{AE\}\{ED\}$ =