Question

name: topic 3 assessment: transformations 1. what is a rule for the translation of △rst? • (x,y)→(x + 7,y - 5) • (x,y)→(x + 3,y - 7) • (x,y)→(x - 3,y + 7) • (x,y)→(x - 7,y + 5) 2. what rigid motion maps the solid - line figure onto the dotted - line figure? circle one (translation, rotation, reflection, dilation) (translation, rotation, reflection, dilation) 3. point p(5, - 4) is the image of point p(2,3) under a translation. what is the image of (6, - 2) under the same translation? a (7, - 1) b (13, - 3) c (9, - 9) d (3,5) 4. which capital letters have one or more lines of symmetry? select all that apply. a x b z c h d c 5. which shape is an example of rotational symmetry? a b c d

Explanation:

Step1: Determine the translation rule from \(P(2,3)\) to \(P'(5, - 4)\)

The \(x -\)coordinate changes from \(2\) to \(5\), so \(\Delta x=5 - 2=3\). The \(y -\)coordinate changes from \(3\) to \(-4\), so \(\Delta y=-4 - 3=-7\). The translation rule is \((x,y)\to(x + 3,y-7)\)

Step2: Apply the translation rule to the point \((6,-2)\)

For the \(x -\)coordinate: \(x=6+3 = 9\). For the \(y -\)coordinate: \(y=-2-7=-9\)

Answer:

C. \((9,-9)\)