Question

question
determine which translations would map figure q onto figure r.
press \try\ to test a translation or sequence of translations.
a translation
units and
units.

Explanation:

Step1: Pick a reference point

Choose a corresponding vertex from Figure Q and Figure R. For example, the vertex at the origin for Figure R: $(x_R, y_R) = (0, 0)$, and its corresponding vertex on Figure Q: $(x_Q, y_Q) = (4, -4)$.

Step2: Calculate horizontal translation

Find the change in the x-direction: $\Delta x = x_R - x_Q = 0 - 4 = -4$. This means a shift left 4 units.

Step3: Calculate vertical translation

Find the change in the y-direction: $\Delta y = y_R - y_Q = 0 - (-4) = 4$. This means a shift up 4 units.

Step4: Verify with another point

Check another pair: Figure R vertex $(5, 3)$ and Figure Q vertex $(9, -1)$. $\Delta x = 5 - 9 = -4$, $\Delta y = 3 - (-1) = 4$. The translation is consistent.

Answer:

A translation $\boldsymbol{4}$ units left and $\boldsymbol{4}$ units up.