YOU TRY NOW! 1. Draw and label 3 points that are collinear. Annotate Here Other Vocab: Postulate: Statement that is accepted to be true without proof.
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1 Geometry 1.1 Geometry Essentials (Vocabulary) Target 1 Demonstrate knowledge of core definitions include: point, line, segment, ray, plane, angle, etc. Vocabulary (space provided to draw and create the various geometric words) Other Vocab: Postulate: Statement that is accepted to be true without proof. Point: occupies no or. It is represented by a and such as A, B, C, D, or E. Line:can be defined by it passes. volume, space, location, dot, capital letter two points, through Line segment: of a. It has two such as C and D and is. Ray: a of a line that starts at a and extends forever in a certain direction. written part, line, endpoints, CD portion, point Plane:a figure that continues forever and can be defined by listing any points on it which are not on a. two dimensional, three, line YOU TRY NOW! 1. Draw and label 3 points that are collinear. 4. Draw a line and name is n. 2. What is AB? Draw it. 3. Draw and label an example of a point. 5. Draw and label 3 points that are collinear. Identify a point, a line and a segment. Use proper notation. Collinear: Three or more points on a straight line.
2 Vocabulary(space provided to draw and create the various geometric words) Angle: formed by with the same endpoint called the. two rays, vertex Naming Angles 1) Call the angle by its vertex. 2) Use 3 points with the vertex in the middle Indicating Measurement of an angle Types of Angles 0 o < Angle measure < 90 o 90 o < Angle measure < 180 o How do you say m B? " Angle measure = 180 o Angle measure = 90 o Angle Addition Postulate If R lies within QTV, then m QTR + m RTV = m QTV
3 1.1 Day 2 Geometry Essentials (Constructions) Target 1 Demonstrate knowledge of core definitions including: point, line, segment, ray, plane, angle, etc. Vocabulary Congruent: When 2 objects have the same or Contructing a copy of a single line segment Name these tools Contructing a a copy of an angle How do you show congruency between: A) segments? B) angles
4 1.2Day 1 Lengths of a Segments Using Coordinates and Segement Addition Target 2 Determine the length, midpoint, and ratios of segments Segment Addition Postulate If W is between F and X on a line segment Draw the situation here Example 1: Use segment addition Find the length of DC?, then + = FX. Label the following: y-axis x-axis Quadrants I-IV origin Example 2: Use segment addition Points A, B, C, and D are collinear and positioned in that order. Find the length of BDIfAB = x + 11,CD = 10, BD = x + 24, and AC = x Segment Length vs Segment Name YOU TRY NOW! The end points of AB are at (8, 3) and (8, 10). One of the endpoints of CD is at (2, 4). AB CD. CDis in the first and second quadrant and parallel to the x-axis. What is the other end point of CD? Segment Name Segment Length
5 1.2 Day 2 Midpoint and Distance Formula Target 2 Determine the length, midpoint, and ratios of segments Pythagorean Theorem a c If a exists, Then + = Theorem: A conditional statement that can be proven true using postulates and other theorems. b Side c is always the Example 1: Lengths of segments when graphed diagonally Find the length of segment RT where R (-1, 0) andt (4, 2). Distance Formula What s a synonym of distance? D =
6 Example 2: Applying the distance formula Find the distance between (2, -1) and (5, 5). Draw a diagram to confirm. Midpoint Formula M = (, ) What is the purpose of the subscript? Midpoint is the of Example 3: Find the midpoint of the given segment. Find an Endpoint:The midpoint of JK is M (6, 1). One endpoint is J (1, 4). Find the coordinates of endpoint K.
7 1.2Day 3 Ratios of Segments Target 2 Determine the length, midpoint, and ratios of segments Example 1: Model the situation and use ratios and proportions to find a partition B partitions (separates) a directed line segment AC into a ratio 3:2. What is AB if AC is 10? What is a ratio? A comparison of items What are three ways to write a ratio? Example 2: Using the information below, find VW. VW UW = 3 4 What is a proportion? Example 3: R is on ST, and ST has a length of 63. If the ratio is 2:5,how far is R from T? 2 to each other YOU TRY NOW! 1. Using the same directed line in example 3, if ST = 90, and SR = 9, how far is R from S? RT 1
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Test Date: November 3, 2016 Format: Scored out of 100 points. 8 Multiple Choice (40) / 8 Short Response (60) Topics: Points, Angles, Linear Objects, and Planes Recognizing the steps and procedures for
If two sides and the included angle of one triangle are congruent to two sides and the included angle of 4 Congruence
Postulates Through any two points there is exactly one line. Through any three noncollinear points there is exactly one plane containing them. If two points lie in a plane, then the line containing those