Triangle ABC

Question

is reflected across the x
-axis. If the coordinates of the original shape are A(−4,−1)
, B(−5,−2)
, and C(−10,−1)
, what are the coordinates of A′
, B′
, and C′
?(1 point)
Responses

A′(4,1)
, B′(5,2)
, and C′(10,1)
upper A prime left parenthesis 4 comma 1 right parenthesis , upper B prime left parenthesis 5 comma 2 right parenthesis , and upper C prime left parenthesis 10 comma 1 right parenthesis

A′(4,−1)
, B′(5,−2)
, and C′(10,−1)
upper A prime left parenthesis 4 comma negative 1 right parenthesis , upper B prime left parenthesis 5 comma negative 2 right parenthesis , and upper C prime left parenthesis 10 comma negative 1 right parenthesis

A′(−4,1)
, B′(5,−2)
, and C′(−10,1)
upper A prime left parenthesis negative 4 comma 1 right parenthesis , upper B prime left parenthesis 5 comma negative 2 right parenthesis , and upper C prime left parenthesis negative 10 comma 1 right parenthesis

A′(−4,1)
, B′(−5,2)
, and C′(−10,1

Answer 1

When a point is reflected across the x-axis, the x-coordinate remains the same, while the y-coordinate changes sign.

Let's apply this to the points of triangle ABC:

• For point A(−4,−1), the reflection A′ will be:
  A′(−4, 1)

• For point B(−5,−2), the reflection B′ will be:
  B′(−5, 2)

• For point C(−10,−1), the reflection C′ will be:
  C′(−10, 1)

So, the coordinates of the reflected points are:

• A′(−4, 1)
• B′(−5, 2)
• C′(−10, 1)

Therefore, the correct response is:
A′(−4,1), B′(−5,2), and C′(−10,1)