Warm Up Use the coordinate plane provided to answer each question. 1. Plot points A (, ) and B (, ).. Is the distance between points A and B considered a horizontal distance, a vertical distance, or a diagonal distance? Eplain our reasoning. 3. How do ou calculate the distance between points A and B?. What is the distance between points A and B? 1 5. How do the negative coordinates affect the distance between points A and B? 1 Carnegie Learning 1.1 Translating and Constructing Line Segments 51C
Check for Students Understanding Use the given sides in each question. P Q R P 1. Construct a segment twice the length of segment PQ.. Construct triangle PQR. 3. Do ou suppose everone in our class constructed the same triangle? Eplain our reasoning.. Your classmate was absent from school toda and she is on the phone asking ou how to duplicate a line segment. What will ou tell her? 1 1 Carnegie Learning 1.1 Translating and Constructing Line Segments A
5. Use the coordinate plane provided to answer each question. One unit represents one kilometer. Vita s house is located at point A (9, 7). Her dog wandered awa from home, but fortunatel, the dog was wearing an identification tag which included Vita s phone number. Vita received a phone call that the dog was last seen at a location described b point B (7, 9). How far did the dog wander from its home? 1 1 Carnegie Learning B Chapter 1 Geometr on the Coordinate Plane
Warm Up 1. What is the value of the point half-wa between points P and T? P 7 11 T. Bill insists the answer to Question 1 must be a positive answer. Is Bill correct? Eplain his reasoning. 3. What is the value of the point half-wa between points R and W? R 1 1 Carnegie Learning W 1 1. Midpoints and Bisectors 7C
. Describe how ou determined the value of the point half-wa between two points in Questions 3. 5. What determines if the value of the point half-wa between two points on a number line is positive number or a negative number? 1 1 Carnegie Learning 7D Chapter 1 Geometr on the Coordinate Plane
Check for Students Understanding 1. Graph the three points on the coordinate plane. A (1, 3), B (, 3), C (7, 11) 1 9 3 1 9 3 3 3 9 1 9 1. Connect the three points to form triangle ABC. 3. Solve for the coordinates of M 1, the midpoint of side AC.. Solve for the coordinates of M, the midpoint of side BC. 1 5. Connect the two midpoints M 1 and M.. Calculate the distance between points M 1 and M. 1 Carnegie Learning Chapter 1 Geometr on the Coordinate Plane
7. Calculate the distance between points A and B.. Compare the length of the midsegment (line segment M 1 M ) of a triangle to the length of the base of the triangle (line segment AB). 1 1 Carnegie Learning 1. Midpoints and Bisectors A
Warm Up Use the coordinate plane to answer each question. 1. Plot points A (, ), B (, ) and C (, ).. If angle B appears to be a right angle. Is this enough to conclude the measure of angle B is equal to 9 degrees? Eplain our reasoning. 3. How can the distance formula and the Pthagorean Theorem be helpful in determining that the measure of angle B is equal to 9 degrees? 1 1 Carnegie Learning 1.3 Translating and Constructing Angles and Angle Bisectors 1C
Check for Students Understanding Use the given sides and angles in each question. P Q R P P 1. Construct an angle twice the measure of angle P.. Construct triangle PQR. 3. Do ou suppose everone in our class constructed the same triangle? Eplain our reasoning. 1 1 Carnegie Learning. A classmate was absent from school toda and she is on the phone asking ou how to duplicate an angle. What will ou tell her? 1.3 Translating and Constructing Angles and Angle Bisectors A
Warm Up Graph each equation. 1. 5 1 5. 5 1 1 3. 3 1 5. 9 5 1 1 1 Carnegie Learning 1. Parallel and Perpendicular Lines on the Coordinate Plane 9C
Check for Students Understanding Designing A Parking Lot Use graph paper to design a parking lot that is 15 feet b feet. Maimize the number of cars in the parking lot. Describe how to paint the lines in the parking lot. 1 1 Carnegie Learning 1. Parallel and Perpendicular Lines on the Coordinate Plane 9A
Warm Up 1. Determine if line AB is perpendicular to line BC. State our reasoning. A B C Line AB contains points A (1, 3) and B (, 5). Line BC contains point B (, 5) and C (, ). 1 1 Carnegie Learning 1.5 Constructing Perpendicular Lines, Parallel Lines, and Polgons 99C
. Determine if line AB is parallel to line CD. State our reasoning. B A C D Line AB contains points A (1, 3) and B (, 5). Line CD contains point C (, 3) and D (, 1). 1 1 Carnegie Learning 99D Chapter 1 Geometr on the Coordinate Plane
Check for Students Understanding Given the radius of the circle and a starter line, construct a regular heagon using onl three arcs or circles. 1 1 Carnegie Learning 1.5 Constructing Perpendicular Lines, Parallel Lines, and Polgons 7A