Question

50 POINTS AND ILL GIVE BRAINLIEST!!!!

Arionna needed to graph triangle PQR reflected across the y-axis. Her work is shown below.
Which statements identify her errors? Check all that apply.
Arionna did not find the correct point for P’. She should have negated the x-value, not the y-value.
Arionna did not find the correct value for Q’. All points in a reflection will move.
Arionna did not find the correct value for R’. She should have negated the y-value, not the x-value.
Arionna’s red triangle should be reflected below the horizontal axis rather than across the vertical axis.
Arionna switched the order of the coordinates of P’ (3, –7) when she graphed them.

Answer 1

Arionna is trying to reflect the graph across the y-axis, also known as the vertical axis. Therefore, we can immediately eliminate the fourth statement:

"Arionna's red triangle should be reflected below the horizontal axis rather than across the vertical axis."

When comparing the original graph to its reflection, all new points will have the same y-value but negative x-values. Therefore, we can also eliminate the third statement:

"Arionna did not find the correct value for R'. she should have negated the y-value, not the x-value."

With this knowledge in mind, we can see that Point Q' was correctly reflected. The original point was given as (0,4). After reflection, we can see that 0 keeps its value of 0 and 4 keeps its value of 4. Therefore, we can also eliminate the second statement:

"Arionna did not find the correct value for Q'. All points in a reflection will move."

We now see that Arionna made a mistake when reflecting Point P. According to her work, she negated the y-value and kept the x-value. We know that she should have done the opposite. Therefore, we can confirm the first statement:

"Arionna did not find the correct point for P'. she should have negated the x-value, not the y-value."

According to her table, Arionna calculated that Point P (3,7) would reflect to become point (3,-7). This is a mistake (addressed in the previous statement). However, she made another mistake when trying to graph this point. Instead of graphing the new point as the calculated (3,-7), she graphed it as (-7,3). Therefore, we can confirm the fifth statement:

"Arionna switched the order of the coordinates of P' (3,-7) when she graphed them."

These are the answers to your problem (bold).

I hope this helps!

Answer 2

When a point is reflected, it must be reflected over a line.

The true statements about Arionna's work are:

• Arionna did not find the correct point for P’. She should have negated the x-value, not the y-value.
• Arionna switched the order of the coordinates of P’ (3, –7) when she graphed them.

The points are given as:

$\mathbf{P = (3,7)}$

$\mathbf{Q = (0,4)}$

$\mathbf{R = (5,8)}$

The rule of reflection across the y-axis is:

$\mathbf{(x,y) \to (-x,y)}$

So, we have:

$\mathbf{P' = (-3,7)}$

$\mathbf{Q' = (0,4)}$

$\mathbf{R' = (-5,8)}$

By comparison,

The coordinates of point P in Arionna's work is incorrect.

Hence, the correct options are: (a) and (e)

Read more about reflections at:

https://brainly.com/question/3398128