Question

Figure ABCD is reflected across the y-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer in each box. A' (​ ​, ​ ​) B' (​ ​, ​ ​) C' (​ ​, ​ ​) D' (​ ​, ​ ​) Coordinate plane. The horizontal axis ranges from negative 10 to 10 in increments of 1. The vertical axis ranges from negative 10 to 10 in increments of 1. Quadrilateral A B C D has vertices A at negative 1 comma 4, B at negative 5 comma 8, C at negative 5 comma 4, and D at negative four comma 2.

Answer 1

Solution:

Let me explain you the meaning of term reflection ,When a shape is reflected across a line or either through X axis or Y axis the two shapes that is image and preimage are congruent means neither the shape , nor size of image changes.

The vertices of Quadrilateral A,B,C,D are (-1,4), (-5,8),(-5,4) ,(-4,2).

When we reflect Quadrilateral A B C D which lies in second quadrant , across y- axis we get reflected image in first Quadrant.

The coordinates of A'(1,4), B(5,8), C(5,4) and D(4,2).

Answer 2

Yreflection in y-axis (x, y) → (-x, y)  **the sign of the x-coordinate changes, the y value stays the same**
A'(1, 4)
B'(5, 8)
C'(5, 4)
D'(4, 2)