The angle of rotation of an equilateral triangle is

Read the given question and decide which of the following information is sufficient to answer the question.

What is the value of 0?

Information :

(II) 0 < q < 90°

In the given diagram, point R and Q are on PS. ÐPQT = x°, ÐRQT = (x – 50)° and ÐTUR = (x + 25°). find the value of ÐURS.

 Study the following question and decide that which of the following information is sufficient to answer the question? What is the value of $\angle \mathrm{ACB}$ ?

Information:

1. 

2.$\angle D={60}^0$

The following question consists of two sets of figures. There is a definite relationship between the first set of figures. Establish a similar relationship between the second set of figures by selecting a suitable figure from the options.

Plot the image of the shape with vertices $(-5,8), (3,-6)$ and $(-3,0)$ using the following translation:

$\left(x,y\right)\to \left(x-3,y+6\right)$

Describe the transformation that have occurred in the diagram:

Graph the image of the triangle $ABC$ after a dilation with a scale factor of $\frac{1}{3}$, centered at the origin.

The original vertices of a triangle are $\left(3,2\right), \left(1,9\right)$ and $\left(-6,4\right)$. The vertices of the image of the triangle are $\left(9,-2\right), \left(7,-9\right)$ and $\left(12,-4\right)$. Explain how it is possible for two different sets of transformations to create the same overall combined transformation.

Plot the image of given shape on a Cartesian grid.

Translation $4$ units right and $4$ units down

The original vertices of a triangle are $\left(3,2\right), \left(1,9\right)$ and $\left(-6,4\right)$. The vertices of the image of the triangle are $\left(9,-2\right), \left(7,-9\right)$ and $\left(12,-4\right)$. Determine two different sets of two transformations that could have occurred.

Describe the transformation that has been performed in the diagram and express it using correct arrow notation. 

The original triangle has undergone three transformations (a rotation followed by a translation, followed by a reflection) become the image triangle. Identify the three transformations and use appropriate notation to describe them.

Graph the image of the quadrilateral $ABCD$ after a dilation with a scale factor of $3$, centered at the origin.

Plot the image of the shape with vertices $(-5,8), (3,-6)$ and $(-3,0)$ using the following translation:

$\left(x,y\right)\to \left(x+4,y-9\right)$

Plot the image of given shape on a Cartesian grid.

Translation $2$ units right and $3$ units up

Describe the transformation that have occurred in the diagram: