Question

WILL GIVE BRILLIANT

Which of the following is not true of a trapezoid that has been reflected across the x-axis?
A
The x-coordinates of the new trapezoid are the same as the x-coordinates of the
original trapezoid.
B
The new trapezoid is the same size as the original trapezoid.
C
The new trapezoid is the same shape as the original trapezoid.
D
The new trapezoid is in the same orientation as the original trapezoid.

Answer 1

D

Step-by-step:

The y-coordinates will change, not the x. Size and shape will also remain the same.

Answer 2

Option D is not true because when a trapezoid is reflected across the x-axis, its orientation changes, while the x-coordinates, size, and shape of the trapezoid remain unchanged.

Step-by-step explanation:

When a trapezoid is reflected across the x-axis, several properties remain the same while others change. The statement that is not true about the reflected trapezoid is:

D. The new trapezoid is in the same orientation as the original trapezoid.

The x-coordinates of the vertices of the trapezoid remain the same after the reflection, ensuring that statement A is true. Since a reflection is a rigid motion, the size and shape of the trapezoid are not altered, which means that statements B and C are also true. However, the orientation of the trapezoid does change after a reflection across the x-axis, so statement D is false. For example, if the original trapezoid were oriented with a base at the top, the reflected trapezoid would have the base at the bottom.