Write a paragraph proof.
given: c is the midpoint of ab.
b is the midpoint of cd.
prove: ac = bd

Step-by-step explanation:

Mid Point :  A point which lies on the line segment and is equidistant from both the ends of the segment is called a mid point.

A line segment can have ONLY ONE mid point and it divides the line segment into two equal parts.

Now, Given : C is the midpoint of AB.

                      and  B is the midpoint of CD.

⇒ AC = BC    and     BC = BD

Now by Euclid's Lemma

- "Things which are equal to the same thing are equal to each other."

Here, AC = BC , and BC = BD

⇒ AC = BD

Hence the result.

2/5

step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2