Answer:
[tex]A_LD= B_LD[/tex] is false statement.
B is correct
Step-by-step explanation:
[tex]\triangle ABC[/tex] is reflected across line L to form [tex]\triangle A_LB_LC_L[/tex].
If we join A and [tex]A_L[/tex] and intersect line L at point D.
Reflection: A transformation of a geometric figure such that creating a mirror image across the line. The line of reflection is called axis of reflection.
As we know mirror image figure has same property their side measure and angle measure equal.
[tex]\triangle ABC \text{ is congruent to }\triangle A_LB_LC_L[/tex].
Distance of each vertex of figure from axis of reflection line is equal to their corresponding vertex.
Therefore, True statements are:-
[tex]AD=A_LD[/tex]
[tex]\angle ACB=\angle A_LC_LB_L[/tex]
[tex]\angle BAC=\angle B_LA_LC_L[/tex]
[tex]A_LD\neq B_LD[/tex]
Please find the attached figure for reflection and coordinates.
Hence, [tex]A_LD= B_LD[/tex] is false statement.
