Destiny is not a matter of chance, it is a matter of choice; it is not a thing to be waited for, it is a thing to be achieved. Name:___________________________________________________________ Date:__________________________________ I can… ● define any geometric term using words, diagrams and notation. ● explain what the undefined terms are and why they are undefined. In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined: ​
point​
, ​
line,​
and ​
plane. DIRECTIONS​
: With a partner, fill out the following chart: POINT Picture Named by Definition Symbol LINE PLANE LINE SEGMENT RAY Destiny is not a matter of chance, it is a matter of choice; it is not a thing to be waited for, it is a thing to be achieved. Picture Named by Definition Symbol SEGMENT BISECTOR PARALLEL LINES PERPENDICULAR LINES ANGLE ANGLE BISECTOR CIRCLE ARC LENGTH Destiny is not a matter of chance, it is a matter of choice; it is not a thing to be waited for, it is a thing to be achieved. Practice: 1. Bobby drew each step of a construction of an angle bisector. Angle Z is given in Step 1. Describe the instructions for steps 2 through 5 of the construction. Bobby wants to explain why the construction produces an angle bisector. He makes a new step with line segments AC and BC added to the construction, as shown. Using the figure, prove that ray ZC bisects angle AZB. Be sure to justify each statement of your proof. Destiny is not a matter of chance, it is a matter of choice; it is not a thing to be waited for, it is a thing to be achieved. 2. Determine whether the conjecture is true or false. Give a counterexample for a false conjecture. Given: points A, B, C, and D Conjecture: A, B, C, and D are coplanar 3. <ABC is a right angle. Plot point C on the coordinate plane below and connect the points to create triangle ABC. 4. Destiny is not a matter of chance, it is a matter of choice; it is not a thing to be waited for, it is a thing to be achieved. Name:__________________________________________________ Date:____________________ Score: ____________/27 pts MUST SHOW ANY NECESSARY WORK 1. 2. Place markings on picture of any congruent angles. Add points Q, S, T on the circle based on the conditions. 3. 4. Draw a picture of the description and determine which statement is true. Draw a picture of the description and determine how many lines are present. Destiny is not a matter of chance, it is a matter of choice; it is not a thing to be waited for, it is a thing to be achieved. 5. 6. Draw a picture of the description and determine which statement is true. Draw a picture of the description and determine which statement is best. 7. Points J, K, and L are distinct points, and JK = KL. Draw a picture of the description 8. 9. Line p is parallel to line j and line t is perpendicular to