A postulate is a statement the is suspect true there is no proof. A theorem is a true statement that deserve to be proven. Detailed below are 6 postulates and the theorems that have the right to be proven from these postulates.

You are watching: In every triangle there is exactly one right angle

*Postulate 1:*A line contains at least two points.

*Postulate 2:*A airplane contains at least three noncollinear points.

*Postulate 3:*Through any type of two points, there is specifically one line.

*Postulate 4:*Through any kind of three non-si points, there is specifically one plane.

*Postulate 5:*If 2 points lie in a plane, climate the heat joining lock lies in the plane.

*Postulate 6:*If 2 planes intersect, then your intersection is a line.

*Theorem 1:*If 2 lines intersect, then they crossing in exactly one point.

*Theorem 2:*If a suggest lies external a line, then precisely one airplane contains both the line and the point.

*Theorem 3:*If two lines intersect, then specifically one airplane contains both lines.

**Example 1:** State the postulate or theorem girlfriend would usage to justify the explain made about each figure.

**Figure 1**Illustrations the Postulates 1–6 and Theorems 1–3.

See more: What Does It Mean When You Dream About Crocodiles : 5 Spiritual Meanings

Through any three noncollinear points, there is precisely one airplane *(Postulate 4)*.

Through any kind of two points, there is precisely one line *(Postulate 3)*.

If two points lied in a plane, climate the heat joining them lies in that airplane *(Postulate 5)*.

If 2 planes intersect, then their intersection is a line *(Postulate 6)*.

A line has at least two point out (Postulate 1).

(f)If 2 lines intersect, then specifically one aircraft contains both lines *(Theorem 3)*.

If a allude lies external a line, then specifically one airplane contains both the line and also the point *(Theorem 2)*.

If 2 lines intersect, then they intersect in exactly one point *(Theorem 1)*.

removing #book# native your reading List will likewise remove anybookmarked pages linked with this title.

room you sure you want to eliminate #bookConfirmation#and any type of corresponding bookmarks?

removeCancel

×stclairdrake.net research guides room written by genuine teachers and professors, for this reason no matter what you"re studying, stclairdrake.net can ease your homework headaches and help you score high ~ above exams.