Euclidean **Identify the postulate for each drawing.**1. ![Image](link-to-text-image) An illustration of a single straight line with arrows on both ends, indicating it extends indefinitely in both directions. 2. ![Image](link-to-text-image) Two straight lines extending indefinitely, depicted parallel to each other (indicated by matching arrows). 3. ![Image](link-to-text-image) Two figures that appear to be sets of perpendicular lines forming right angles. 4. ![Image](link-to-text-image) Two lines intersecting at a point, forming vertical angles. *Description of Diagrams in Detail:*1. **Diagram 1**: - A straight line with arrows on both ends. - Represents the concept that a straight line extends infinitely in both directions. 2. **Diagram 2**: - Two straight lines, both extending indefinitely (represented by arrows), and are parallel to each other. 3. **Diagram 3**: - Two sets of perpendicular lines forming right angles. - The first set comprises two lines forming an L shape. - The second set depicts another L shape that is larger.4. **Diagram 4**: - Two lines intersecting at one point. - These lines meet and form vertical angles at the intersection point. ### Fundamental Geometric Postulates1. **Line Drawing Postulate:** A straight line may be drawn from any given point to any other. 2. **Line Extension Postulate:** A straight line may be extended to any finite length. 3. **Circle Definition Postulate:** A circle may be described with any given point as its center and any distance as its radius. 4. **Angle Equality Postulate:** All right angles are equal. 5. **Parallel Postulate:** If a straight line intersects two other straight lines, and so makes the two interior angles on one side of it together less than two right angles, then the other straight lines will meet at a point if extended far enough on the side on which the angles are less than two right angles.These postulates form the foundational principles for the study of geometry, helping to construct and deduce various geometric properties and theorems.

Name: Euclidean **Identify the postulate for each drawing.**1. ![Image](link
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: Euclidean **Identify the postulate for each drawing.**1. ![Image](link-to-text-image) An illustration of a single straight line with arrows on both ends, indicating it extends indefinitely in both directions. 2. ![Image](link-to-text-image