Question

Help me with this please!!

Answer 1

DE ≅ XY and XY ≅ YZ, then DE ≅ YZ

Thus, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.

Explanation:

We know that if two segments are congruent to the third segment, then they will be congruent to each other. This is called Transitive Property of Segment Congruence.

For example, Let suppose

• segment LM = 30 units

• segment AB = 30 units

• segment BC = 30 units

LM ≅ AB and AB ≅ BC, then LM ≅ BC

30 ≅ 30 and 30 ≅ 30, then 30 ≅ 30

Thus, this validates the 'Transitive Property of Segment Congruence'.

Now Given

DE ≅ XY and XY ≅ YZ, then DE ≅ YZ

Thus, according to the above discussion, this statement is illustrated or validated by the 'Transitive Property of Segment Congruence'.