Question

Lara wrote the statements shown in the chart. . (Statement). Description. . (1). If two lines intersect, then they intersect at exactly one point.. . (2). In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the length of the legs.. . . Which option best classifies Lara’s statements? . . Statement 1 and Statement 2 are postulates because they are true facts. . . Statement 1 is a theorem and Statement 2 is a postulate. . . Statement 1 is a postulate and Statement 2 is a theorem. . . Statement 1 and Statement 2 are theorems because t

Answer 1

Answer: Statement 1 and Statement 2 are theorems because they can be proved.

Explanation:

A postulate is a statement that is supposed to be true without any proof.

For example Postulate 1:- A line contains at least two points.

A theorem is a true statement which can be prove by using postulates and previous theorems as reason.

Here statement 1 " If two lines intersect, then they intersect at exactly one point."is the theorem for intersecting lines and statement 2 "In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the length of the legs" is the famous Pythagoras theorem.

Answer 2

The statement that best clarifies Lara’s statement is “Statement 1 and Statement 2 are theorems because they can be proved.” The correct answer between all the choices given is the last choice. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.