00:01
In this problem, our job is to determine which of the given statements are true for this reflection.
00:07
So we've reproduced the picture here.
00:10
We have quadrilateral a, b, c, d, and it's being reflected about a vertical line coming here through the point b.
00:19
So here's our reflection.
00:24
So we have four questions we need to answer about that reflection.
00:28
And we'll come back to the diagram and consult that as needed.
00:32
The first question, we'll just label that as question one, is the quadrilateral abcd congruent to the quadrilateral ebgh.
01:02
And so here the answer is yes, because we've simply taken the quadrilateral, the original abcd, and we reflected it about a vertical line through b.
01:12
And so we have symmetry, and there's no other stretching or shrinking going on here.
01:19
By that vertical line.
01:21
And so the answer to this is yes.
01:25
The reflection is what preserves that congruements.
01:35
So the answer to question one is yes, this is a true statement.
01:44
All right, let's move on to question two.
01:48
The second question asks us if angle d is congruent to angle h.
02:02
And so we can go back to our reflection.
02:06
We can see that when a, b, c, d is reflected about that vertical line, angle d corresponds to angle h.
02:15
So since angle d reflects to become angle h, and the answer to this question is also yes...