Figure 1 shows triangle PQR. Draw triangle after translation vector (6 over −4).

Question

ScanSolve AI Tutor · Accepted Answer

Step 1: Identify the coordinates of the vertices of triangle PQR. From the graph: Point P is at (−1, 4). Point Q is at (1, 1). Point R is at (−4, 1). Step 2: Apply the translation vector 6 −4 to each vertex. To translate a point (x, y) by a vector a b , the new point is (x+a, y+b). For P(−1, 4): P' = (−1+6, 4−4) = (5, 0) For Q(1, 1): Q' = (1+6, 1−4) = (7, −3) For R(−4, 1): R' = (−4+6, 1−4) = (2, −3) Step 3: State the coordinates of the translated triangle P'Q'R'. The new coordinates are: P'(5, 0) Q'(7, −3) R'(2, −3) Step 4: Draw the image triangle P'Q'R'. To draw the image, plot the points P'(5, 0), Q'(7, −3), and R'(2, −3) on the same graph paper. Then, connect these three points with straight lines to form the translated triangle P'Q'R'. The coordinates of the translated triangle are: P'(5, 0), Q'(7, −3), R'(2, −3)

Figure 1 shows triangle PQR. Draw triangle after translation vector (6 over -4).

Answer

Step-by-step solution

Identify the coordinates of the vertices of triangle PQR.

Apply the translation vector $\begin{pmatrix} 6 \\ -4 \end{pmatrix}$ to each vertex.

State the coordinates of the translated triangle P'Q'R'.

Draw the image triangle P'Q'R'.

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