Question

ΔABC is reflected across line L to form Δ ALBLCL, and `barAbar(A_L)` intersects line L at point

d. Which equation is not necessarily true?

Answer 1

Reflection of triangle ABC is nothing but flipping of triangle over a line L.

The triangle ABC is the pre image and the triangle A'B'C' is the image after reflection. D can be any point on the line L.

From the attached figure we can clearly see that

AD =
`A_(L)`D

BD =
`B_(L)`D

CD =
`C_(L)`D

The corresponding angles are equal.

So we can say that A_LD =
`B_(L)`D is not necessarily true.