The vertices of ΔABC are A(2, –5), B(–3, 5), and C(3, –3). The triangle is reflected over the x-axis. Use arrow notation to describe the original triangle and its reflection.
a. A(2, –5), B(–3, 5), C(3, –3) --> (2, –5), (–3, 5), (3, –3)
b. A(2, –5), B(–3, 5), C(3, –3) --> (–2, 5), (3, –5), (–3, 3)
c. A(2, –5), B(–3, 5), C(3, –3) --> (–2, –5), (3, 5), (–3, –3) **
d. A(2, –5), B(–3, 5), C(3, –3) --> (2, 5), (–3, –5), (3, 3
Check this plz
In a refection over the x-axis, the x coordinate would stay the same, but the y would turn into its opposite
that is,
(x,y) ---> (x, -y)
A(2,-5) ---> A'(2,5)
find the choice that matches this
To describe the original triangle and its reflection over the x-axis, we need to understand the reflection process.
A reflection over the x-axis simply flips the triangle vertically, so the x-coordinates remain the same while the y-coordinates are multiplied by -1.
Let's start with the original triangle: A(2, –5), B(–3, 5), C(3, –3).
To reflect this triangle over the x-axis, we change the sign of the y-coordinates:
A(2, –5) reflects to (2, 5)
B(–3, 5) reflects to (–3, –5)
C(3, –3) reflects to (3, 3)
Therefore, the answer is:
b. A(2, –5), B(–3, 5), C(3, –3) --> (2, 5), (–3, –5), (3, 3)