Curated OER
Parallel and Perpendicular Lines 2
In this parallel and perpendicular lines activity, students solve 18 different problems that include determining various parallel and perpendicular lines. First, they determine and write the equation for each description given. Then,...
EngageNY
Criterion for Perpendicularity
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their endpoints and...
EngageNY
Motion Along a Line – Search Robots Again
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
Curated OER
Review Linear Equations
Explore algebra I/algebra II with this series of worksheets. Pupils write linear equations in slope-intercept and standard form, graph linear equations, and apply linear equations to real world applications. The six-page learning...
Curated OER
Slope of Parallel and Perpendicular Lines
In this parallel and perpendicular lines worksheet, students determine the slope of a line. They calculate the slope of a line parallel and perpendicular to a given line. This two-page worksheet contains 22 problems. Answers are...
Curated OER
Semester 1 Review for Geometry final
In this geometry worksheet, 10th graders solve problems that are based on the topics covered in a first semester geometry class, including, linear equations and the equations of parallel and perpendicular lines, the logic of geometry,...
Curated OER
Parallel, Perpendicular and Intersecting Lines
In this parallel, perpendicular and intersecting lines instructional activity, students analyze the slopes of given lines and determine if the lines are parallel, perpendicular or intersecting. This five-page instructional activity...
Curated OER
Lines in the Plane
Learners differentiate between parallel and perpendicular lines. In this algebra lesson, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
Curated OER
Geometry: Parallel and Perpendicular Lines
This basic handout would be good for skills practice or a review of parallel and perpendicular lines. Review the definitions, then practice writing equations of lines that pass through a specific point and are either parallel or...
Curated OER
Parallel and Perpendicular Lines
In this parallel and perpendicular lines worksheet, students find the slope of a line. They identify the slope of a line parallel to another line or find the slope of a line that is perpendicular to a given line. This one-page...
Curated OER
Parallel and Perpendicular Lines
In this parallel and perpendicular lines worksheet, students identify the slope of a line that is either parallel to a line or perpendicular to the given line. This one-page worksheet contains ten linear problems.
Curated OER
Slopes of Perpendicular Lines
Tenth graders investigate slopes and perpendicular lines using the TI. In this geometry lesson, 10th graders graph perpendicular line on the Ti and adjust to explore the slope. This assignment can also be done on graph paper
Curated OER
Parallel, Perpendicular, or Neither
Study the difference between parallel and perpendicular lines with a set of study cards. After filling in notes (found on the second page), kids can quiz each other on the characteristics of each line, including a section that represents...
Mathematics Vision Project
Transformations and Symmetry
Flip, turn, and slide about the coordinate plane. Pupils define the rigid motions and experiment with them before determining the relationships of the slopes of parallel and perpendicular lines. The sixth unit in a nine-part series...
EngageNY
Equations for Lines Using Normal Segments
Describing a line using an algebraic equation is an essential skill in mathematics. The previous lesson in the series challenged learners to determine if segments are perpendicular with a formula. Now they use the formula to determine...
EngageNY
Equations for Tangent Lines to Circles
Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through (p, 0).
Curated OER
Identifying Linear Functions from Graphs
Keep your mathematicians engaged using this group linear functions activity. Each of ten groups receives two graphs with both an image and equation, as well as a "who has" phrase to call out the next graph. Scholars stay on their toes as...
EngageNY
Designing a Search Robot to Find a Beacon
Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...
Curated OER
Algebra I - Worksheet G12: Graphing Lines
In this graphing lines worksheet, students graph 28 lines given various data. Students graph lines given two points, a point and slope, and a line perpendicular or parallel to a point.
Curated OER
Algebra II Test Chapter 3: Slope & Functions
In this slope and functions worksheet, students determine the slope of a line. They identify functions and determine an equation of a line that is parallel or perpendicular to given points. This three-page worksheet contains 21 problems.
Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...
Mathematics Vision Project
Module 6: Connecting Algebra and Geometry
A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...
Curated OER
Perpendicular Lines in the Coordinate Plane
Students investigate the relationship between perpendicular and parallel lines on a coordinate plane. In this geometry lesson, students differentiate lines based on their slopes.
Curated OER
Slopes Puzzle
In this slopes puzzle learning exercise, learners solve and complete 16 different problems that include determining various slopes of equations. First, they cut apart each of the pieces shown. Then, students use the slopes of each linear...