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Chapter 1.1-1.3 By Skyler Cassity & Ryan Tourial.

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Presentation on theme: "Chapter 1.1-1.3 By Skyler Cassity & Ryan Tourial."— Presentation transcript:

1 Chapter 1.1-1.3 By Skyler Cassity & Ryan Tourial

2 Vocabulary Point- geometric points that have no size, usually depicted as a dot. Point- geometric points that have no size, usually depicted as a dot. Lines- geometric line has no thickness, is perfectly straight, and extends forever. Lines- geometric line has no thickness, is perfectly straight, and extends forever. Planes- geometric plane extends infinitely in all directions along a flat surface. Planes- geometric plane extends infinitely in all directions along a flat surface. Collinear- points that are all contained on a single line. Collinear- points that are all contained on a single line.

3 Vocabulary Coplanar- points that are all contained in a single plane Coplanar- points that are all contained in a single plane Segment- part of a line that begins at one point and ends at another Segment- part of a line that begins at one point and ends at another Endpoints- the points that end the segment Endpoints- the points that end the segment Ray- part of a line that starts at a point and extends infinitely in one direction Ray- part of a line that starts at a point and extends infinitely in one direction

4 Vocabulary Endpoint- the end of one side of the ray Endpoint- the end of one side of the ray Angle- figure formed by two rays with a common endpoint Angle- figure formed by two rays with a common endpoint Vertex of the Angle- The common endpoint of the two rays in an angle Vertex of the Angle- The common endpoint of the two rays in an angle Sides of the Angle- the rays in an angle Sides of the Angle- the rays in an angle Interior of an Angle- the area inside of the angle Interior of an Angle- the area inside of the angle

5 Vocabulary Exterior of an Angle- the area outside of the angle Exterior of an Angle- the area outside of the angle Intersect- when geometric figures have on or more points in common Intersect- when geometric figures have on or more points in common Intersection- the set of points that they have in common Intersection- the set of points that they have in common Postulates- fundamental geometry ideas involving intersections of geometric figures Postulates- fundamental geometry ideas involving intersections of geometric figures

6 Vocabulary Number Line- line that has been set up to correspond with real numbers Number Line- line that has been set up to correspond with real numbers Coordinate of a Point- a point on a number line that is always a real number Coordinate of a Point- a point on a number line that is always a real number Length- the measure between points on a number line l a-b l or l b-a l Length- the measure between points on a number line l a-b l or l b-a l Unit Length- a distance between something in measurements Unit Length- a distance between something in measurements

7 Vocabulary Congruent- figures that are the same shape and size Congruent- figures that are the same shape and size Degree- the most common unit for measuring angles Degree- the most common unit for measuring angles Complementary angles- are two angles whose measure have a sum of 90 degrees. Complementary angles- are two angles whose measure have a sum of 90 degrees.

8 Vocabulary Supplementary Angles- two angles whose measures have a sum of 180 degrees. Supplementary Angles- two angles whose measures have a sum of 180 degrees. Right Angles- angle whose measure is 90 degrees Right Angles- angle whose measure is 90 degrees Acute Angle- Angle whose measure in less than 90 degrees Acute Angle- Angle whose measure in less than 90 degrees Obtuse Angle- Angle whose measure is greater than 90 degrees Obtuse Angle- Angle whose measure is greater than 90 degrees

9 Postulates and Theorems The intersection of two lines is a point. The intersection of two lines is a point. The intersection of two planes is a line. The intersection of two planes is a line. Through any two points there is exactly one line. Through any two points there is exactly one line. Through any three non collinear points there is exactly one plane. Through any three non collinear points there is exactly one plane. If two points are in a plane, then the line containing them is in a plane. If two points are in a plane, then the line containing them is in a plane.

10 Postulates and Theorems Segment Congruence Postulate- If two segments have the same length and measure by a fair ruler, then the segments are congruent. Also, if two segments are congruent, then they have the same length as measured by a fair ruler. Segment Congruence Postulate- If two segments have the same length and measure by a fair ruler, then the segments are congruent. Also, if two segments are congruent, then they have the same length as measured by a fair ruler. Segment addition postulate- If point R is between points P and Q on a line then PR+RQ=PQ Segment addition postulate- If point R is between points P and Q on a line then PR+RQ=PQ

11 Postulates and Theorems Angle Congruence Postulate- If two angles have the same measure, then they are congruent. If two angles are congruent, then they have the same measure. Angle Congruence Postulate- If two angles have the same measure, then they are congruent. If two angles are congruent, then they have the same measure. Angle Addition Postulate- If point S is in the interior of angle PQR, then angles PQS + SQR = PQR Angle Addition Postulate- If point S is in the interior of angle PQR, then angles PQS + SQR = PQR Linear Pair Property- If two angles form a linear pair, then they are supplementary. Linear Pair Property- If two angles form a linear pair, then they are supplementary.

12 Point: A, B, C, T Point: A, B, C, T Segments: AB, AC, BC, AT, BT, CT Segments: AB, AC, BC, AT, BT, CT Angles: BAC, ABC, ACB, ATB, BTC, CTA Angles: BAC, ABC, ACB, ATB, BTC, CTA

13 Picture A is of a ray Picture A is of a ray Picture B is of a line Picture B is of a line Picture C is of a segment Picture C is of a segment

14 The blue object in this picture is a plane The blue object in this picture is a plane

15 Practice Problems http://www.kwiznet.com/p/takeQuiz.php? ChapterID=2435&CurriculumID=22 http://www.kwiznet.com/p/takeQuiz.php? ChapterID=2435&CurriculumID=22

16 What is geometric object one, two, and three. What is geometric object one, two, and three.

17 Using the figure, what is the measure of the segment shown? Using the figure, what is the measure of the segment shown?

18 Question 3 & 4 What is a geometrical object that extends infinitely in all directions on a flat surface. This can also be named with three points. What is a geometrical object that extends infinitely in all directions on a flat surface. This can also be named with three points. Name the five types of angles and explain what each is. Name the five types of angles and explain what each is.

19 Answers Segment, Ray, Line Segment, Ray, Line 7 Plane Plane Complementary Angles, Supplementary Angles, Right Angles, Acute Angles, Obtuse Angles Complementary Angles, Supplementary Angles, Right Angles, Acute Angles, Obtuse Angles


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