Answer:
\(A_LD= B_LD\) is false statement.
B is correct
Step-by-step explanation:
\(\triangle ABC\) is reflected across line L to form \(\triangle A_LB_LC_L\).
If we join A and \(A_L\) 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.
\(\triangle ABC \text{ is congruent to }\triangle A_LB_LC_L\).
Distance of each vertex of figure from axis of reflection line is equal to their corresponding vertex.
Therefore, True statements are:-
\(AD=A_LD\)
\(\angle ACB=\angle A_LC_LB_L\)
\(\angle BAC=\angle B_LA_LC_L\)
\(A_LD
eq B_LD\)
Please find the attached figure for reflection and coordinates.
Hence, \(A_LD= B_LD\) is false statement.
