Slopes of Parallel and Perpendicular Lines PDF

Slopes of Parallel and Perpendicular Lines Looking at the following picture... No description available. Which streets are **parallel** to 11^th^ avenue? Which streets are **perpendicular** to 11^th^ avenue? When two lines have \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\...

Slopes of Parallel and Perpendicular Lines Looking at the following picture... No description available. Which streets are **parallel** to 11^th^ avenue? Which streets are **perpendicular** to 11^th^ avenue? When two lines have \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_, they are considered \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_. When two lines have \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_, they are considered \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_. Since horizontal lines have a slope of \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_, the reciprocal is **technically** \_\_\_\_\_\_, but this is **not defined**. What this means is...  **EXAMPLE: Identifying Parallel Lines** Line [*GH*]{.math.inline} passes through [*G*( − 4, 2)]{.math.inline} and [*H*(2,  − 1)]{.math.inline}. Line [JK]{.math.inline} passes through [*J*( − 1, 7)]{.math.inline} and [*K*(7, 3)]{.math.inline}. Line [MN]{.math.inline}passes through [*M*( − 4, 5)]{.math.inline} and [*N*(5, 1)]{.math.inline}. Are they parallel? Justify your answer. **EXAMPLE: Examining Slopes to Compare Lines** Line [PQ]{.math.inline} passes through [*P*( − 7, 2)]{.math.inline} and [*Q*( − 2, 10)]{.math.inline}. Line [RS]{.math.inline} passes through [*R*( − 3, 4)]{.math.inline} and [*S*(5, 1)]{.math.inline}. a. Are these two lines parallel, perpendicular or neither? Justify your answer. b. Sketch the lines to verify the answer to part a. **EXAMPLE: Using Slope to Identify a Polygon** [ABCD]{.math.inline} is a parallelogram. Is it a rectangle? Justify your answer. How can you use slope to tell if it is a rectangle or not? **EXAMPLE: Identifying a Line Perpendicular to a Given Line** a. Determine the **slope** of a line that is **perpendicular** to the line through [*E*(2, 3)]{.math.inline} and [*F*( − 1,  − 1)]{.math.inline}. b. Determine the coordinates of [*G*]{.math.inline} so that the line [EG]{.math.inline} is perpendicular to the line [EF.]{.math.inline} It may be helpful to start with a graph.