Unit 6 test: Transformations

Translate the point $(-2, 7)$ 6 units right and 9 units down. What is the image?

The translation $(x, y) \rightarrow (x + 3,\ y - 4)$ maps point $P$ to $P'(1, 1)$. What are the coordinates of $P$?

Reflect the point $(-5, -8)$ across the y-axis. What is the image?

Reflect the point $(3, 1)$ across the horizontal line $y = -2$. What is the image?

Which single transformation maps triangle $ABC$ onto triangle $A'B'C'$ in the graph above?

Rotate the point $(5, -2)$ $90^\circ$ counterclockwise about the origin. What is the image?

Rotate the point $(-3, -4)$ $90^\circ$ clockwise about the origin. What is the image?

Dilate the point $(-6, 4)$ by a scale factor of $\dfrac{3}{2}$, centered at the origin. What is the image?

A dilation centered at the origin maps $A(8, -12)$ to $A'(2, -3)$. What is the scale factor?

Which sequence of transformations always produces a figure that is similar, but not congruent, to the original?

$\triangle ABC \sim \triangle DEF$ with $AB = 5$, $AC = 8$ and $DE = 12.5$. Find $DF$.

Two parallel lines are cut by a transversal. A pair of alternate interior angles measure $(6x - 14)^\circ$ and $(4x + 22)^\circ$. Find $x$.

Two parallel lines are cut by a transversal. One of two same-side interior angles measures $73^\circ$. What is the measure of the other, in degrees?

Two angles of a triangle measure $58^\circ$ and $49^\circ$. What is the measure of the third angle, in degrees?

An exterior angle of a triangle measures $(5x - 12)^\circ$. Its two remote interior angles measure $(2x + 6)^\circ$ and $(x + 22)^\circ$. What is the measure of the exterior angle, in degrees?