Question

B

С
Move vertex D and observe how the measures change.
Make a conjecture. Which of the following statements appear to be
true? Check all that apply.
VX
AC and BD are always equal.
AE and CE are always equal.
BE and DE are always equal.
AC and BD always bisect each other.
AC and BD are always perpendicular
A
D
AE = 40 units
CE = 40 units
BE = 32 units
DE = 32 units
Check
Intro

Answer 1

Explanation:

it’s B,C,D

Answer 2

Statements that appear to be true are:

AE and CE are always equal.

BE and DE are always equal.

As vertex D is moved, the lengths of sides AC and BD can change independently. Therefore, AC and BD are not always equal.

The perpendicular bisectors of sides AC and BD intersect at point A, so AC and BD always bisect each other. However, the lengths of AC and BD can change independently, so AC and BD do not always have the same length.

The angle between sides AC and BD can change as vertex D is moved, so AC and BD are not always perpendicular.

Therefore, the only statements that appear to be true are that AE and CE are always equal and BE and DE are always equal. This is because the lengths of these sides are determined by the right angle at A, which does not change as vertex D is moved.