Question

Which statement is not used to prove that ΔABC is similar to ΔADE?

triangles ABC and ADE in which point E is between points A and C on segment AC and point D is between points A and B on segment AB, angle A is a right angle

AC is a transversal line passing ED and CB.
Angle A is congruent to itself, due to the reflexive property.
Segments ED and CB are parallel.
The sum of angles A and B are supplementary to angle C.

Answer 1

The statement that is not used to prove that ΔABC is similar to ΔADE is that the sum of angles A and B are supplementary to angle C.

Step-by-step explanation:

The statement that is not used to prove that ΔABC is similar to ΔADE is:

• The sum of angles A and B are supplementary to angle C.

To prove that two triangles are similar, we need to show that their corresponding angles are congruent and their corresponding sides are proportional. The given information about the right angle and the position of points E and D on segments AC and AB does not provide any information about the sum of angles A and B being supplementary to angle C. Therefore, this statement is not used to prove the similarity of the two triangles.