Question

geometry
describe the
transformation
that occurred as
specifically as
possible.

reflect the given
shape over the
y - axis. be sure to
label the new
points and state the
ordered pairs.
b______
h______
t______

Explanation:

Step1: Recall the rule for reflection over the y - axis

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is \((x,y)\to(-x,y)\).

Step2: Find the coordinates of the original points

Assume \(B(- 4,0)\), \(H(-5,3)\), \(T(-2,5)\)

Step3: Apply the reflection rule

For point \(B(-4,0)\):
Using the rule \((x,y)\to(-x,y)\), when \(x = - 4\) and \(y = 0\), then \(B'=(4,0)\)
For point \(H(-5,3)\):
When \(x=-5\) and \(y = 3\), then \(H'=(5,3)\)
For point \(T(-2,5)\):
When \(x=-2\) and \(y = 5\), then \(T'=(2,5)\)

Answer:

\(B'=(4,0)\), \(H'=(5,3)\), \(T'=(2,5)\)