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.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1