Question

day 2b: reflections hw
reflect triangle glq over the y-axis. reflect over the x-axis.
for question 2 below, reflection over the y-axis is applied:
2 triangle abc is shown on the coordinate plane below.
a reflection is applied to triangle abc according to the rule (x, y) → (-x, y).
which of the following will be the top vertex of the image?
a (2, -4) b (-1, 1) c (-2, 4) d (1, -1)
tips and hints
when a question has two steps,
start by finding the answer to the
first step so that you can consider
the second step more easily.

Explanation:

Step1: Identify the top vertex of triangle ABC

The top vertex of triangle ABC is \( B(2,4) \).

Step2: Apply the reflection rule \((x,y)\to(-x,y)\)

For point \( B(2,4) \), substitute \( x = 2 \) and \( y = 4 \) into the rule.
When \( x = 2 \), \(-x=-2\), and \( y = 4 \) remains the same.
So the new coordinates are \((-2,4)\).

Answer:

C. \((-2,4)\)