Question

b. the triangles abc and abc do not have translational symmetry because the triangle abc has gone through more than one transformation. c. the triangles abc and abc have translational symmetry because there is no change in shape, size, orientation of triangle abc after transformation. d. the triangles abc and abc do not have translational symmetry because corresponding vertices of both triangles are not equidistant from either x - axis or y - axis. 11. a triangle is shown on a coordinate grid. what are the coordinates of the image of triangle pqr after translating it by 5 units to the left? a. p(8, - 4), b. p(-8, 4), c. p(-8, - 4), d. p(-8, - 4),

Explanation:

Step1: Recall translation rule

For a left - hand translation of a point $(x,y)$ by $a$ units, the new coordinates are $(x - a,y)$.

Step2: Assume initial coordinates of point $P$

Let's assume the initial coordinates of point $P$ are $(- 3,-4)$ (since no initial coordinates are given in the visible part of the question, we use a general understanding of coordinate - grid translations. In a standard coordinate grid, if we assume a starting point). When we translate a point 5 units to the left, we subtract 5 from the $x$ - coordinate. The $y$ - coordinate remains the same. So, $x=-3$ and $a = 5$, then the new $x$ - coordinate is $x'=-3 - 5=-8$ and $y'=-4$.

Answer:

If we assume the initial $x$ - coordinate of $P$ is $-3$ and $y$ - coordinate is $-4$, after translating 5 units to the left, the coordinates of $P'$ are $(-8,-4)$. So the answer is C. $P'(-8,-4)$.