Mathematics

Problem

Points

A, B, C, D,

and

E

lie on the same straight line in the given order. It is known that

AB = CD

and

BC = DE

. a. (i) State the two equalities that are given in the question. b. (ii) Using only the information in part (i), prove that

AB + BC = CD + DE

. c. (iii) If

AB = 4\text{ cm}

and

BC = 3\text{ cm}

, find the common value of

AB + BC

and

CD + DE

. Show your calculation.