Interactive PowerPoint Study Guide for Unit Test 1 UNIT 1 REVIEW Click HERE to go to the topics. Click HERE to go to the topics.

CLICK TO EXPLORE UNIT 1 Unit 1 Objectives Naming and Classifying Divided Line Segments Divided Angles Angle Relationships Triangles Isosceles and Equilateral Properties For SAT Practice, look on the CCSC website for the SAT PowerPoint from class. For justification practice, look over notes, classwork, and homework. You will be held responsible for everything in the Unit 1 Objectives. For topics not in this PowerPoint, look over notes, classwork, homework, do-nows, and exit tickets.

YOU SHOULD BE ABLE TO… There’s more! 

 determine the measurement of an angle that is complementary or supplementary to a given angle  use the triangle sum theorem to solve problems.  Use the exterior angle theorem to solve problems  use properties of angles in isosceles and equilateral triangles to solve problems.  use the “draw a picture and write in everything you know” strategy to solve problems about angles in triangles.  write logical justifications to solutions to geometry problems using the following phrases “it is given that…” “Because [property]…” “Hence,…” and “Therefore [conclusion]”  solve SAT-type problems involving lines, angles, and triangles. YOU SHOULD BE ABLE TO… Return to Main

NAMING AND CLASSIFYING OVERVIEW Click each box to see the label and sketch for each geometric figure. Point Line Line Segment Return to Main Next 

NAMING AND CLASSIFYING OVERVIEW Click each box to see the label and drawing for each geometric figure. Ray Angle Triangle Return to Main Next  *careful to label rays starting with the initial point. *you should only label angles using one point if there are no other angles sharing the same vertex. Otherwise, use 3 points to label.

CLASSIFYING ANGLES Click each box to see the definition and examples of each type of angle. Acute Right Obtuse Straight Return to Main Try some Examples 

 Use the figure shown to answer the problems. CLASSIFYING EXAMPLES 1. List all of the angles that have S as a vertex. 2. Name a straight angle. 3. Name an obtuse angle. 1. Show Answer 2. Show Answer 3. Show Answer 4. Show Answer Acute Return to Main More Examples 

 Name three collinear points shown in the diagram below. CLASSIFYING EXAMPLES Collinear Points: Points that lie on the same line. Show Answer A, E, and C or D, E, and B Return to Main

 Click each box to learn the vocabulary. DIVIDED LINE SEGMENTS congruent segments bisects midpoint two segments that have the same length. divides a segment into two congruent segments a point that bisects a segment Return to Main Next 

DIVIDED LINE SEGMENTS The Segment Addition Postulate: If point B is between A and C, then AB+BC=AC. Also, if AB+BC=AC, then point B is between A and C. AB+ BC = AC Return to Main Try Some Examples 

DIVIDED SEGMENTS EXAMPLES Note: Not drawn to scale. Use the figure below to answer the questions. Show Answer Return to Main More Examples 

DIVIDED SEGMENTS EXAMPLES Note: Not drawn to scale. Use the figure below to answer the questions. Show Answer Return to Main More Examples 

DIVIDED SEGMENTS EXAMPLES Show Answer Return to Main

DIVIDED ANGLES  Click each box to learn the vocabulary. congruent angles bisects bisector two angles that have the same measure. divides an angle into two congruent angles a ray or segment that bisects an angle Return to Main Next 

DIVIDED ANGLES The Angle Addition Postulate: Return to Main Try Some Examples 

DIVIDED ANGLES EXAMPLES Show Answer Return to Main More Examples 

DIVIDED ANGLES EXAMPLES Show Answer Return to Main

ANGLE RELATIONSHIPS Click each box to see the definition and examples of each angle relationship. Vertical Angles Linear Pairs Complementary Angles Supplementary Angles Angles that share a vertex and are formed by two pairs of opposite rays. *All vertical angles are congruent* Return to Main Try Some Examples 

 Determine if the following angles are vertical, complementary, or supplementary. ANGLE RELATIONSHIPS EXAMPLES Show Answer complementary Show Answer vertical Show Answer supplementary Return to Main More Examples 

 Refer to the figure to answer the following questions. ANGLE RELATIONSHIP EXAMPLES Return to Main More Examples  Show Answer

 Use the diagram to answer the questions. ANGLE RELATIONSHIP EXAMPLES Show Answer Return to Main More Examples 

ANGLE RELATIONSHIP EXAMPLES  Use the diagram to answer the questions. Show Answer Return to Main More Examples 

 Use the diagram shown to answer the question. ANGLE RELATIONSHIPS Return to Main Show Answer

TRIANGLES The Triangle Sum Theorem: Return to Main Next 

TRIANGLES The Exterior Angle Theorem: Return to Main Next 

CLASSIFYING TRIANGLES By Sides: Equilateral: 3 congruent sides Isosceles: 2 congruent sides Scalene: No congruent sides Return to Main Try Some Examples 

 Use the diagram to answer the questions. TRIANGLE EXAMPLES Show Answer Return to Main More Examples 

 Use the diagram shown to answer the questions. TRIANGLE EXAMPLES Return to Main Show Answer

ISOSCELES AND EQUILATERAL TRIANGLES Isosceles: 2 congruent sides (legs) (non-congruent side is the base) 2 congruent angles (base angles) (non-congruent angle is the vertex) Return to Main Try Some Examples 

 Find the value of x in each diagram. EXAMPLES Show Answer Return to Main