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Today’s lesson focuses on identifying basic shapes and figures in Geometry to lay the groundwork for future objectives. Homework involves marking figures worksheets and understanding postulates and segments. Topics include Vocabulary, Ruler Postulate, Segment Addition Postulate, Intersecting Lines and Planes, and more.
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Warm Up Find the values of y by substituting x = 2, 3, 10 y = 3x-1 y = 4(x+3) y = 8(x+4) + x(8+x)
Today’s Objective • To identify basic shapes and figures in Geometry in order to use them for future objectives. • Homework: Marking Figures Worksheet
To identify basic shapes and figures in Geometry • Warm Up √ • Anticipatory Set • Marking Figures • Vocabulary • Ruler Postulate notes • Segment Addition Postulate Notes • Intersecting Lines and Planes • Gallery Walk • Closure
Anticipatory Set • Where in the room do we find: • Point • Line • Plane • Segment • Ray
Measurements: Congruent/Equal Segments: Bisected Segments: Marking Segments E 4 cm F G Y Z X B D H A C
Warm Up • Mark up the angles and segments to show the statements J G Y Z X K M H L
Today’s Objective • TSWBAT understand basic figures and postulates in Geometry in order to use them later in the course. • Homework: Pg 12 #1-19 odd
To identify basic shapes and figures in Geometry • Warm Up √ • Anticipatory Set √ • Marking Figures Worksheet √ • Vocabulary • Ruler Postulate notes • Segment Addition Postulate Notes • Intersecting Lines and Planes • Gallery Walk • Closure
Vocabulary • Postulate • Coordinate • Distance • Between • Congruent Segments
Postulate • A rule that is accepted without any proof
Name of Points A B 3 6 Coordinate of Points Coordinate • The number that corresponds to a point • Where the point is located
Distance • How far apart two things are. • The absolute value of the difference of the coordinates of the point • A is at coordinate 1 • B is at coordinate 8 • The distance between A and B is: Which equals?
B A C Between • When 3 points are collinear then the point in the middle is “between” the other two • B is between A and C
Congruent Segments • Line segments that have the same length are congruent segments.
To identify basic shapes and figures in Geometry • Warm Up √ • Anticipatory Set √ • Marking Figures Worksheet √ • Vocabulary √ • Ruler Postulate notes • Segment Addition Postulate Notes • Intersecting Lines and Planes • Gallery Walk • Closure
A=0 B=3 C=5 D=10 Ruler Postulate • The points on a line can be matched one to one with the real numbers. Giving them coordinates • Using their coordinates, we can find the distance between the points
To identify basic shapes and figures in Geometry • Warm Up √ • Anticipatory Set √ • Vocabulary Quiz √ • Vocabulary √ • Ruler Postulate notes √ • Segment Addition Postulate Notes • Intersecting Lines and Planes • Gallery Walk • Closure
15 20 B A C 35 A C Segment Addition Postulate • If B is between A and C, the AB + BC = AC • AB = 15 • BC = 20 • AC = 35
Example of Segment Addition • If segment EG is 36 and segment EF is 21, what is segment FG? E F G
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