Question

Write a paragraph proof.

Given: C is the midpoint of AB.
B is the midpoint of CD.
Prove: AC = BD​

Answer 1

Definition Of midpoint,

Angle BCA is congruent to Angle DCA

Explanation:

Just did it on edg 2020

Answer 2

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.