Geometric transformations Questionbank

A triangle has vertices at $(1, 2)$, $(3, 2)$, and $(1, 5)$. If the triangle is reflected in the line $y = x$, what are the coordinates of the vertices of the image triangle?

A dilation is centered at the origin with a scale factor of $k = -0.5$. If the pre-image is a line segment of length $10$ units, what is the length of the image segment and where is it located relative to the center?

A triangle with vertices at $(2, 2)$, $(4, 2)$, and $(2, 6)$ is transformed into a triangle with vertices at $(1, 1)$, $(2, 1)$, and $(1, 3)$. Which transformation precisely describes this mapping?

If a geometric figure undergoes a dilation with scale factor $k = 3$, the lengths of its sides are tripled. What happens to the interior angles of the image?

A translation is defined by the translation vector $\begin{pmatrix} a \\ b \end{pmatrix}$. Which of the following statements about the distance every point on the object moves is true?

True or False: If a figure is first reflected across the $x$-axis and then translated by the vector $\begin{pmatrix}2\\3\end{pmatrix}$, the final image is congruent to the original pre-image.

A dilation with a negative scale factor $k = -2$ maps a pre-image point $P$ to an image point $P'$. This implies that the center of dilation $C$ must be located:

Which of the following coordinate rules represents a dilation by a scale factor of 3 centered at the origin, followed by a translation of 1 unit right and 2 units down?

Which of the following transformations is NOT considered an isometry?

Which of the following statements best describes the change in orientation of a polygon after it undergoes a single reflection?