Geometric Transformations

Point $A(2,3)$ is translated by $\left(\genfrac{}{}{0ex}{}{3}{1}\right)$. The coordinates of its image are ...

Point $A(3,4)$ is reflected across the x-axis. Its image is ...

Point $A(5,-2)$ is reflected across the y-axis. Its image is ...

Point $A(2,3)$ is dilated with center $O(0,0)$ and scale factor 2. Its image is ...

Point $A(1,-2)$ is translated by $\left(\genfrac{}{}{0ex}{}{4}{5}\right)$. Its image is ...

Point $A(2,-1)$ is rotated $180^{\circ }$ about $O(0,0)$. Its image is ...

Point $A(2,5)$ is reflected across the line $y=x$. Its image is ...

Point $A(3,4)$ is reflected across the line $y=-x$. Its image is ...

Point $A(2,3)$ is rotated $90^{\circ }$ counterclockwise about $O(0,0)$. Its image is ...

Point $A(3,5)$ is dilated with center $P(1,2)$ and scale factor 2. Its image is ...

Point $A(2,-1)$ is translated by $\left(\genfrac{}{}{0ex}{}{-3}{4}\right)$, then reflected across the x-axis. Its image is ...

Point $A(-1,4)$ is rotated $90^{\circ }$ counterclockwise about $O(0,0)$. Its image is ...

Point $A(6,-4)$ is dilated with center $O(0,0)$ and scale factor $\frac{1}{2}$. Its image is ...

Point $A(5,3)$ is reflected across the line $x=2$. Its image is ...

Point $A(3,-2)$ is reflected across the x-axis, then rotated $180^{\circ }$ about $O(0,0)$. Its image is ...

The image of point $A$ after reflection across the y-axis is $(4,-5)$. The coordinates of $A$ are ...

Point $A(-1,3)$ is dilated with center $P(2,1)$ and scale factor 3. Its image is ...

Point $A(2,1)$ is rotated $90^{\circ }$ counterclockwise about $O(0,0)$, then translated by $\left(\genfrac{}{}{0ex}{}{3}{-4}\right)$. Its image is ...

The translation $\left(\genfrac{}{}{0ex}{}{a}{b}\right)$ maps point $(2,3)$ to $(5,7)$. The value of $a+b$ is ...

A triangle has an area of $12{\text{cm}}^2$. If it is dilated by a scale factor of 3, the area of its image is ...