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GEOMETRY Chapter 1: Foundations for Geometry Name:______________________________ Teacher:____________________________ Pd: _______ Table of Contents Lesson 1.1: SWBAT: Identify, name, and draw points, lines, segments, rays, and planes. Pgs: 1-4 Lesson 1.2: SWBAT: Use the length and midpoint of a segment to calculate the missing lengths. Pgs: 5-10 Lesson 1.3: SWBAT: Name, classify and calculate the measure of angles. Pgs: 11-14 Full Period Quiz Lessons: 1.1-1.3 Lesson 1.4: SWBAT identify adjacent, vertical, complementary, supplementary and calculate the measures of pairs of angles. Pgs: 15-19 Lesson 1.6: SWBAT: apply the formulas for midpoint and distance in conjunction with the Pythagorean Theorem to find the length of a line segment. Pgs: 20-23 Full Period Quiz Lessons: 1.4 and 1.6 Practice Test: Pgs: 24-25 SWBAT: Identify, name, and draw points, lines, segments, rays, and planes. Chapter 1 – 1 Warm – Up: Complete the chart in pencil. Terms Labels Diagrams Plane A lowercase letter or two points on the line. Point Line line l A capital letter point P A script capital letter or 3 points not on a line. plane R or plane ABC Term Definition Label/Name Diagram ______, names a location and has no size. It is represented by a dot. ______, is a straight path that has no thickness and extends forever. ______, is a flat surface that has no thickness and extends forever. Points that lie on the same line are collinear. K, L, and M are collinear. K, L, and N are noncollinear. Points that lie on the same plane are coplanar. Otherwise they are noncoplanar. 1 SWBAT: Identify, name, and draw points, lines, segments, rays, and planes. Example 1: Naming Points, Lines, and Planes A. Name four coplanar points. B. Name three lines. Directions: Complete the chart below in pencil. Terms Labels Diagrams Ray A capital letter, C and D Endpoint It’s endpoint and any other point on the ray Opposite Rays Segment The common endpoint and any other point on each ray The two endpoints Term Definition Labels/Name Diagram is the part of a line consisting of two points, and all points between them. is a point at one end of a segment or the starting point of a ray is a part of a line that starts at an endpoint and extends forever in one direction are two rays that have a common endpoint and form a line. 2 SWBAT: Identify, name, and draw points, lines, segments, rays, and planes. Example 2: Draw and label each of the following. A. a segment with endpoints M and N. B. opposite rays with a common endpoint T. A postulate, or axiom, is a statement that is accepted as true without proof. Postulates about points, lines, and planes help describe geometric properties. Example 3: Name a plane that contains three noncollinear points. Use a dashed line to show the hidden parts of any figure that you are drawing. A dashed line will indicate the part of the figure that is not seen. Example 4: Sketch a figure that shows each of the following. A. Two lines intersecting in exactly one point. B. Two planes intersecting in one line. 3 SWBAT: Identify, name, and draw points, lines, segments, rays, and planes. Homework: pg 9 Numbers 1-21 Homework: Page 9, #'s 1 - 21 4 SWBAT: Use the length and midpoint of a segment to calculate the missing lengths. Chapter 1 – 2 Warm – Up Notes: 5 SWBAT: Use the length and midpoint of a segment to calculate the missing lengths. Example 1: Finding

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