Similar Figures

In the given figure, the value of $x$ is

Prove that the sum of angles of a triangle is $180°$.

One of the angle of a triangle is equal to the sum of the other two. Find the measure of this angle.

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is

Using the angle sum formula verify that sum of interior angles of a triangle is $180$ degrees.

A model of a square $PQRS$ is made to a scale of $0.006$. The area of the square on the model is $150 {\mathrm{cm}}^2$. If the actual area of the square is $k {\mathrm{cm}}^2$, then find the value of $k$.

A model of a ship is made to a scale of $1:200$. The volume of the model is $100 \mathrm{L}$. If the volume of the ship is $x \mathrm{L}$, then find the value of $x$. 

A model of a square $PQRS$ is made to a scale of $0.006$. The area of the square on the model is $150 {\mathrm{cm}}^2$. If the actual area of the square is $k {\mathrm{cm}}^2$, then find the value of $k$.

A model of a ship is made to a scale of $1:200$. The volume of the model is $100 \mathrm{L}$. If the volume of the ship is $x \mathrm{L}$, then find the value of $x$. 

All the equilateral triangles are _____. (similar, congruent)

Two congruent figures are similar.

All photographs of a given building made by the same negative are _____. (similar / congruent / both congruent and similar)

In a $△ABC, \angle C=3\angle B=2(\angle A+\angle B)$. If the sum of $\angle A$ and $\angle B$ is $k°$, then $k$ is equal to

All rectangles are similar.

All isosceles triangles are similar.

Two similar figures are congruent.

Two polygons having equal numbers of sides are similar if their corresponding angles are equal and their corresponding sides are _____. $($equal$/$proportional$)$

All rhombuses having one angle $90°$ are _____ $($similar$/$congruent$)$.

All circles having the same radius are _____. (similar / congruent / both congruent and similar)