Question

2 multiple choice 4 points refer to the figure below. if the triangle is reflected across the y - axis, the coordinates of the new vertices will be (5,0), (2,3), and ________. 3 multiple choice 4 points which of the following will map △abc onto △abc?

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected across the $y -$axis, the new point is $(-x,y)$.

Step2: Analyze the given points

We know two new vertices after reflection are $(5,0)$ and $(2,3)$. We need to find the third. By observing the grid (assuming we can identify the pre - reflected points and apply the rule), if we consider the properties of the triangle and the reflection across the $y -$axis, we can find the missing vertex. Let's assume we have identified the pre - reflected point corresponding to the missing vertex. If we apply the $y -$axis reflection rule $x\to - x,y\to y$.

Step3: Check options

For option A: If the pre - reflected point of $(3,5)$ was $(- 3,5)$ after reflection across the $y -$axis it would be $(3,5)$ which is incorrect.
For option B: If the pre - reflected point of $(4,3)$ was $(-4,3)$ after reflection across the $y -$axis it would be $(4,3)$ which is incorrect.
For option C: We already have $(2,3)$ given as one of the vertices, and we are looking for the third vertex.
For option D: If the pre - reflected point was $(0,5)$ (since $x = 0$, reflection across the $y -$axis leaves it as $(0,5)$). By observing the triangle's position and the reflection rule, this is the correct third vertex.

Answer:

D. $(0,5)$