Question
Based on the details of the diagram you uploaded, the two trapezoids are reflected across the y-axis. The trapezoid on the left (A, B, C, D) has points that mirror perfectly with the trapezoid on the right (A', B', C', D').
This means the line of reflection is x = 0, which corresponds to the y-axis.
Samantha determined that trapezoid ABCD≅A′B′C′D′
. Which of the following should be her next step?
Statement #1: Verify that ABCD≅A′B′C′D′
using the mapping equation for the translation A(x,y)→A(x+8,y)
.
Statement #2: Verify that ABCD≅A′B′C′D′
using the mapping equation for a reflection over the x-axis A(x,y)→A(x,−y)
.
Statement #3: Verify that ABCD≅A′B′C′D′
using the mapping equation for a reflection over the y-axis A(x,y)→A(−x,y)
.
(1 point)
Statement #
is correct.
This means the line of reflection is x = 0, which corresponds to the y-axis.
Samantha determined that trapezoid ABCD≅A′B′C′D′
. Which of the following should be her next step?
Statement #1: Verify that ABCD≅A′B′C′D′
using the mapping equation for the translation A(x,y)→A(x+8,y)
.
Statement #2: Verify that ABCD≅A′B′C′D′
using the mapping equation for a reflection over the x-axis A(x,y)→A(x,−y)
.
Statement #3: Verify that ABCD≅A′B′C′D′
using the mapping equation for a reflection over the y-axis A(x,y)→A(−x,y)
.
(1 point)
Statement #
is correct.
Answers
GPT-4o mini
To verify that trapezoid ABCD is congruent to trapezoid A'B'C'D' after a reflection across the y-axis, the appropriate mapping equation to use is for a reflection over the y-axis, which is represented as:
**Statement #3: Verify that ABCD ≅ A′B′C′D′ using the mapping equation for a reflection over the y-axis A(x,y)→A(−x,y).**
So, the correct answer is **Statement #3**.
**Statement #3: Verify that ABCD ≅ A′B′C′D′ using the mapping equation for a reflection over the y-axis A(x,y)→A(−x,y).**
So, the correct answer is **Statement #3**.