Question

4 multiple choice 4 points refer to the figure below. if the triangle is reflected across the x - axis, the coordinates of the new vertices will be (1, - 1), (3, - 3), and ____________. 5 multiple choice 4 points △abc is the image of △abc after translation of 3 units left and 4 units down. what are the coordinates of each vertex of △abc?

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the $x - axis$ is $(x,-y)$.

Step2: Analyze the pattern of given reflected points

Given reflected points are $(1, - 1)$ and $(3,-3)$. We need to find the reflection of the third - vertex of the original triangle.

Step3: Determine the original third - vertex

By observing the graph (assuming the original triangle has vertices with positive $y$ - values), if we consider the pattern of reflection, the original third - vertex before reflection across the $x - axis$ must have been $(2,4)$ so that its reflection is $(2,-4)$.

Answer:

A. $(2,-4)$