1 / 12

Geometry Review

Geometry Review. Test Chapter 2. Undefined terms. In Geometry, we use three undefined terms which are accepted a intuitive ideas. These terms are point, line, and plane. A point, according to Euclid, is “that which has no size.” We usually name points using capital letters.

korene
Download Presentation

Geometry Review

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Geometry Review Test Chapter 2

  2. Undefined terms • In Geometry, we use three undefined terms which are accepted a intuitive ideas. These terms are • point, line, and plane. • A point, according to Euclid, is • “that which has no size.” • We usually name points using • capital letters.

  3. All geometric figures consist of points. We usually refer to a line using a Single lower-case letter or Using two points the line contains. The geometric figure suggested by a wall is a Plane.

  4. Definitions • Space is the • Set of all points. • Collinear points are • Points all in one line. • Coplanar points are • Points all in one plane. • The intersection of two figures is • The set of points that are in both figures.

  5. Definitions (cont.) • The term distinct means • Different. • A segment is part of a line with • Two endpoints. • Opposite rays are • Distinct collinear rays with the same endpoint. • Two objects that have the same shape and size are said to be • Congruent.

  6. Definitions (cont.) • Congruent segments are segments • That have equal lengths. • The midpoint of a segment is the point that • Divides the segment into 2 congruent segments. • A bisector of a segment is a line, segment, ray, or plane that • Intersects the segment at its midpoint.

  7. Definitions (cont.) • An angle is the figure formed by • Two rays with the same endpoint. • This endpoint is known as the • Vertex of the angle. • Congruent angles are angles with the • Same measure. • An angle with measure between 0 and 90 is • An acute angle.

  8. Definitions (cont.) • An angle with measure equal to 90 is • A right angle. • An angle with measure between 90 and 180 is • An obtuse angle. • A straight angle is an angle with measure • 180. • Adjacent angles are two angles that have • A common vertex, a common side, but no common interior points.

  9. Postulates • The Ruler Postulate provides a way to find • The distance between two points. • If B is between A and C, then • AB + BC = AC. • The Protractor Postulate provides a means to • Measure angles. • If angle AOC is a straight angle and B is any point not on line AC, then • Measure of angle AOB + measure of angle BOC = 180.

  10. Postulates (cont.) • A line contains at least • Two points, • A plane contains at least • three points not all in one line, and • Space contains at least • Four points not all in one plane. • Through any two points there is • Exactly one line.

  11. Postulates (cont.) • If two points are in a plane, then the line that contains the points • Is in that plane. • If two lines intersect, then their intersection • Is a point. • If two parallel lines are cut by a transversal, then • Corresponding angles are congruent.

  12. Postulates (cont.) • The measure of the arc formed by two adjacent arcs is • The sum of the measures of the two arcs. • The area of a square is the square of the length • Of a side. • The area of a region is the sum of the areas of • Its non-overlapping parts.

More Related