Geometry Study Sheet: Ch. 1 by Tristen Wallace https://padlet.com/20wallacetl/oe49kdlt5f3n Study sheet for Chapter 1 in Geometry. Includes all key terms and 3 example problems. en-us 2016-12-13 00:20:18 UTC 2026-01-21 15:55:48 UTC hello@padlet.com point: indicates a location and has no size 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268187 2016-12-13 01:46:10 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268187 line: a straight path that extends in two opposite directions without end, thickness, or limit to amount of points 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268467 2016-12-13 01:51:28 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268467 plane: represented by a flat surface that extends without end, thickness, or limit to amount of points 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268543 2016-12-13 01:53:01 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268543 collinear points: two points on the same plane. 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268637 2016-12-13 01:54:24 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268637 coplanar: two lines on the same plane 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268671 2016-12-13 01:55:06 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268671 space: the set of all points in three dimensions 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268721 2016-12-13 01:56:13 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268721 segment: part of a line that consists of two endpoints and all points between them 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268766 2016-12-13 01:57:01 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268766 ray: part of a line that consists of one endpoint and all the points of the line on one side of the endpoint. 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268812 2016-12-13 01:57:59 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268812 opposite rays: two rays that share the same endpoint and form a line 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268878 2016-12-13 01:59:22 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268878 postulate or axiom: an accepted statement of fact 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268917 2016-12-13 02:00:21 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268917 intersection: the set of points the figures have in common 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268964 2016-12-13 02:01:32 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143268964 coordinate: the real number that corresponds to a point 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269009 2016-12-13 02:02:47 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269009 distance: the absolute value of the difference of their coordinates 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269029 2016-12-13 02:03:24 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269029 Postulate 1-1 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269179 Through any 2 points there is exactly one line.]]> 2016-12-13 02:07:11 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269179 Postulate 1-3 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269214 If 2 distinct planes intersect, then they intersect in exactly one line]]> 2016-12-13 02:07:54 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269214 Postulate 1-4 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269267 Through any 3 nonlinear points, there is exactly 1 plane]]> 2016-12-13 02:08:57 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269267 Postulate 1-5 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269345 Every point on a line can be paired with a real number. The real number that corresponds to a point is called the coordinate of the point.]]> 2016-12-13 02:10:44 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269345 Postulate 1-6 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269414 If 3 points A, B, and C are collinear and B is between A and C, then AB + BC = AC]]> 2016-12-13 02:12:05 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269414 congruent segments: segments that have the same length 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269484 2016-12-13 02:13:26 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269484 midpoint: a point that divides the segment into 2 congruent segments 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269562 2016-12-13 02:14:45 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269562 segment bisector: a point, line, ray, or other segment at its midpoint 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269628 2016-12-13 02:16:08 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269628 angle: formed by 2 rays with the same endpoint 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269732 2016-12-13 02:18:30 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269732 sides of an angle: the rays are the sides of the angle 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269760 2016-12-13 02:19:07 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269760 vertex: the endpoint of an angle 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269837 2016-12-13 02:20:22 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269837 Protractor Postulate (1-7) 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269863 Every ray can be paired one to one with a real number from 0 to 180 (180 being a straight line)]]> 2016-12-13 02:20:56 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269863 measure: the absolute value of the difference of the real numbers paired with the rays that come off the angles 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269947 2016-12-13 02:22:32 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143269947 acute angle: an angle that is more than 0 degrees and less than 90 degrees 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270083 2016-12-13 02:25:34 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270083 right angle: x = 90 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270148 2016-12-13 02:26:57 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270148 obtuse angle: an angle that is more than 90 degrees and less than 180 degrees 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270176 2016-12-13 02:27:21 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270176 straight angle: x = 180 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270241 2016-12-13 02:28:30 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270241 congruent angles: angles with the same measure 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270266 2016-12-13 02:28:59 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270266 Angle Addition Postulate (1-8) 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270375 If point B is in the interior of angle AOC, then the measure of AOB + the measure of BOC = the measure of AOC]]> 2016-12-13 02:30:28 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270375 adjacent angles: two coplanar angles with a common side, a common vertex, and no common interior points 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270523 2016-12-13 02:33:03 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270523 vertical angles: 2 angles whose sides are opposite rays 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270555 2016-12-13 02:33:34 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270555 complementary angles: 2 angles whose measures have a sum of 90. Each angle is called the complement of the other 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270580 2016-12-13 02:34:00 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270580 supplementary angles: 2 angles whose measures have a sum of 180. Each angle is called the supplement of the other 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270625 2016-12-13 02:34:49 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270625 linear pair: a pair of adjacent angles whose noncommon sides are opposite rays and form a straight angle (180) 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270719 2016-12-13 02:36:12 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270719 Linear Pair Postulate (1-9) 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270751 If 2 angles form a linear pair, then they are supplementary and add up to 180 degrees]]> 2016-12-13 02:37:02 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270751 angle bisector: a ray that divides an angles into 2 congruent angles; its endpoint is at the angle vertex and the same endpoint is also an angle bisector 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270862 2016-12-13 02:39:01 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270862 straightedge: a ruler with no markings on it 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270969 2016-12-13 02:40:38 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143270969 compass: a geometric tool used to draw circles and parts of circles called arcs 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271002 2016-12-13 02:41:11 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271002 construction: a geometric figure drawn using a straightedge and a compass 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271029 2016-12-13 02:41:35 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271029 perpendicular lines: 2 lines that intersect to form right angles (90 degrees) 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271072 2016-12-13 02:42:20 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271072 perpendicular bisector: a line, segment, or ray that is perpendicular to the segment as its midpoint 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271113 2016-12-13 02:42:51 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271113 Midpoint Formula: 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271202 2016-12-13 02:44:32 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271202 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271350 2016-12-13 02:46:53 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271350 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271481 2016-12-13 02:49:36 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271481 Distance Formula: 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271520 2016-12-13 02:50:39 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271520 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271778 2016-12-13 02:55:55 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271778 Area Addition Postulate (1-10) 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271834 The area of a region is the sum of the areas of its non overlapping parts]]> 2016-12-13 02:56:57 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271834 3 Example Problems: 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271911 2016-12-13 02:58:28 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271911 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271984 2016-12-13 02:59:47 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143271984 20wallacetl https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143272094 2016-12-13 03:01:38 UTC https://padlet.com/20wallacetl/oe49kdlt5f3n/wish/143272094